TSTP Solution File: SYN488+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN488+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:57 EDT 2024

% Result   : Theorem 0.21s 0.45s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  151
% Syntax   : Number of formulae    :  862 (   1 unt;   0 def)
%            Number of atoms       : 7448 (   0 equ)
%            Maximal formula atoms :  722 (   8 avg)
%            Number of connectives : 10077 (3491   ~;4770   |;1218   &)
%                                         ( 150 <=>; 448  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  114 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  188 ( 187 usr; 184 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  919 ( 919   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3725,plain,
    $false,
    inference(avatar_sat_refutation,[],[f269,f278,f287,f292,f342,f350,f358,f362,f366,f371,f375,f380,f389,f394,f402,f403,f404,f408,f420,f422,f423,f424,f428,f432,f433,f434,f442,f443,f444,f448,f454,f455,f460,f467,f471,f472,f480,f484,f485,f489,f494,f499,f500,f501,f505,f506,f507,f511,f512,f513,f514,f523,f524,f525,f534,f535,f536,f559,f564,f569,f575,f580,f585,f623,f628,f633,f639,f644,f649,f660,f665,f671,f676,f681,f687,f692,f697,f703,f708,f713,f719,f724,f729,f735,f740,f745,f751,f756,f761,f762,f767,f772,f777,f783,f788,f793,f799,f804,f809,f815,f820,f825,f831,f836,f841,f847,f852,f857,f863,f868,f873,f879,f884,f889,f895,f900,f911,f916,f921,f943,f948,f953,f959,f964,f969,f970,f975,f985,f991,f996,f1001,f1002,f1007,f1012,f1017,f1023,f1028,f1033,f1039,f1044,f1049,f1059,f1070,f1093,f1109,f1120,f1123,f1178,f1189,f1316,f1344,f1546,f1609,f1633,f1666,f1694,f1722,f1753,f1846,f1870,f1900,f1918,f1932,f2000,f2052,f2054,f2058,f2074,f2115,f2139,f2143,f2166,f2209,f2232,f2237,f2292,f2305,f2319,f2365,f2385,f2430,f2492,f2497,f2558,f2575,f2626,f2645,f2651,f2668,f2679,f2698,f3014,f3025,f3051,f3079,f3160,f3165,f3167,f3169,f3214,f3216,f3227,f3256,f3259,f3277,f3319,f3362,f3401,f3433,f3448,f3451,f3530,f3536,f3541,f3557,f3588,f3614,f3635,f3640,f3677,f3682,f3715,f3720,f3722]) ).

fof(f3722,plain,
    ( spl0_184
    | ~ spl0_31
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f3721,f742,f737,f373,f3233]) ).

fof(f3233,plain,
    ( spl0_184
  <=> c2_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f373,plain,
    ( spl0_31
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f737,plain,
    ( spl0_100
  <=> c3_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f742,plain,
    ( spl0_101
  <=> c1_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f3721,plain,
    ( c2_1(a2432)
    | ~ spl0_31
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f3712,f739]) ).

fof(f739,plain,
    ( c3_1(a2432)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f3712,plain,
    ( c2_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_31
    | ~ spl0_101 ),
    inference(resolution,[],[f374,f744]) ).

fof(f744,plain,
    ( c1_1(a2432)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f374,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f3720,plain,
    ( ~ spl0_31
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f3719]) ).

fof(f3719,plain,
    ( $false
    | ~ spl0_31
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3718,f803]) ).

fof(f803,plain,
    ( c3_1(a2422)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f801,plain,
    ( spl0_112
  <=> c3_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3718,plain,
    ( ~ c3_1(a2422)
    | ~ spl0_31
    | spl0_111
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3711,f798]) ).

fof(f798,plain,
    ( ~ c2_1(a2422)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl0_111
  <=> c2_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3711,plain,
    ( c2_1(a2422)
    | ~ c3_1(a2422)
    | ~ spl0_31
    | ~ spl0_113 ),
    inference(resolution,[],[f374,f808]) ).

fof(f808,plain,
    ( c1_1(a2422)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f806,plain,
    ( spl0_113
  <=> c1_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3715,plain,
    ( spl0_138
    | ~ spl0_31
    | ~ spl0_139
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f3714,f1872,f945,f373,f940]) ).

fof(f940,plain,
    ( spl0_138
  <=> c2_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f945,plain,
    ( spl0_139
  <=> c1_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1872,plain,
    ( spl0_168
  <=> c3_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f3714,plain,
    ( c2_1(a2410)
    | ~ spl0_31
    | ~ spl0_139
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f3709,f1873]) ).

fof(f1873,plain,
    ( c3_1(a2410)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1872]) ).

fof(f3709,plain,
    ( c2_1(a2410)
    | ~ c3_1(a2410)
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(resolution,[],[f374,f947]) ).

fof(f947,plain,
    ( c1_1(a2410)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f3682,plain,
    ( spl0_159
    | ~ spl0_37
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f3681,f678,f673,f400,f1075]) ).

fof(f1075,plain,
    ( spl0_159
  <=> c1_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f400,plain,
    ( spl0_37
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f673,plain,
    ( spl0_88
  <=> c3_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f678,plain,
    ( spl0_89
  <=> c2_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3681,plain,
    ( c1_1(a2455)
    | ~ spl0_37
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f3680,f675]) ).

fof(f675,plain,
    ( c3_1(a2455)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f3680,plain,
    ( c1_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_37
    | ~ spl0_89 ),
    inference(resolution,[],[f680,f401]) ).

fof(f401,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f680,plain,
    ( c2_1(a2455)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f3677,plain,
    ( ~ spl0_184
    | ~ spl0_46
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3676,f737,f732,f446,f3233]) ).

fof(f446,plain,
    ( spl0_46
  <=> ! [X47] :
        ( ~ c3_1(X47)
        | c0_1(X47)
        | ~ c2_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f732,plain,
    ( spl0_99
  <=> c0_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3676,plain,
    ( ~ c2_1(a2432)
    | ~ spl0_46
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f3662,f734]) ).

fof(f734,plain,
    ( ~ c0_1(a2432)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f3662,plain,
    ( c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ spl0_46
    | ~ spl0_100 ),
    inference(resolution,[],[f447,f739]) ).

fof(f447,plain,
    ( ! [X47] :
        ( ~ c3_1(X47)
        | c0_1(X47)
        | ~ c2_1(X47) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f3640,plain,
    ( spl0_111
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3623,f806,f387,f373,f352,f796]) ).

fof(f352,plain,
    ( spl0_26
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f387,plain,
    ( spl0_34
  <=> ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | c3_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3623,plain,
    ( c2_1(a2422)
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(resolution,[],[f3599,f808]) ).

fof(f3599,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12) )
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f374,f3484]) ).

fof(f3484,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | c3_1(X16) )
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f388,f353]) ).

fof(f353,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f388,plain,
    ( ! [X16] :
        ( c2_1(X16)
        | ~ c1_1(X16)
        | c3_1(X16) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f3635,plain,
    ( spl0_184
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f3625,f742,f387,f373,f352,f3233]) ).

fof(f3625,plain,
    ( c2_1(a2432)
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_101 ),
    inference(resolution,[],[f3599,f744]) ).

fof(f3614,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f3613]) ).

fof(f3613,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_50
    | ~ spl0_67 ),
    inference(resolution,[],[f3600,f563]) ).

fof(f563,plain,
    ( c1_1(a2450)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl0_67
  <=> c1_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3600,plain,
    ( ! [X12] : ~ c1_1(X12)
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f3599,f3548]) ).

fof(f3548,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | ~ c2_1(X59) )
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f470,f3453]) ).

fof(f3453,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f333,f365]) ).

fof(f365,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c3_1(X8)
        | ~ c1_1(X8) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl0_29
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f333,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl0_21
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f470,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f469,plain,
    ( spl0_50
  <=> ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3588,plain,
    ( ~ spl0_53
    | spl0_96
    | spl0_97
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f3587]) ).

fof(f3587,plain,
    ( $false
    | ~ spl0_53
    | spl0_96
    | spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f3586,f728]) ).

fof(f728,plain,
    ( c3_1(a2435)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl0_98
  <=> c3_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f3586,plain,
    ( ~ c3_1(a2435)
    | ~ spl0_53
    | spl0_96
    | spl0_97 ),
    inference(subsumption_resolution,[],[f3573,f723]) ).

fof(f723,plain,
    ( ~ c0_1(a2435)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f721,plain,
    ( spl0_97
  <=> c0_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3573,plain,
    ( c0_1(a2435)
    | ~ c3_1(a2435)
    | ~ spl0_53
    | spl0_96 ),
    inference(resolution,[],[f483,f718]) ).

fof(f718,plain,
    ( ~ c2_1(a2435)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl0_96
  <=> c2_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f483,plain,
    ( ! [X65] :
        ( c2_1(X65)
        | c0_1(X65)
        | ~ c3_1(X65) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_53
  <=> ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | c2_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3557,plain,
    ( ~ spl0_184
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_50
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f3552,f742,f469,f364,f332,f3233]) ).

fof(f3552,plain,
    ( ~ c2_1(a2432)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_50
    | ~ spl0_101 ),
    inference(resolution,[],[f3548,f744]) ).

fof(f3541,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | spl0_81
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f3540]) ).

fof(f3540,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_39
    | spl0_81
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f3523,f638]) ).

fof(f638,plain,
    ( ~ c3_1(a2478)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f636,plain,
    ( spl0_81
  <=> c3_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f3523,plain,
    ( c3_1(a2478)
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_83 ),
    inference(resolution,[],[f3512,f648]) ).

fof(f648,plain,
    ( c2_1(a2478)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl0_83
  <=> c2_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f3512,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c3_1(X27) )
    | ~ spl0_26
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f411,f353]) ).

fof(f411,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl0_39
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f3536,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f3535]) ).

fof(f3535,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_39
    | spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f3518,f814]) ).

fof(f814,plain,
    ( ~ c3_1(a2420)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_114
  <=> c3_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3518,plain,
    ( c3_1(a2420)
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_115 ),
    inference(resolution,[],[f3512,f819]) ).

fof(f819,plain,
    ( c2_1(a2420)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f817,plain,
    ( spl0_115
  <=> c2_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3530,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3529]) ).

fof(f3529,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_39
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3514,f990]) ).

fof(f990,plain,
    ( ~ c3_1(a2405)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f988,plain,
    ( spl0_147
  <=> c3_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3514,plain,
    ( c3_1(a2405)
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_148 ),
    inference(resolution,[],[f3512,f995]) ).

fof(f995,plain,
    ( c2_1(a2405)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f993,plain,
    ( spl0_148
  <=> c2_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3451,plain,
    ( spl0_105
    | ~ spl0_37
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f3450,f774,f769,f400,f764]) ).

fof(f764,plain,
    ( spl0_105
  <=> c1_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f769,plain,
    ( spl0_106
  <=> c3_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f774,plain,
    ( spl0_107
  <=> c2_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3450,plain,
    ( c1_1(a2427)
    | ~ spl0_37
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f3422,f771]) ).

fof(f771,plain,
    ( c3_1(a2427)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f3422,plain,
    ( c1_1(a2427)
    | ~ c3_1(a2427)
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(resolution,[],[f401,f776]) ).

fof(f776,plain,
    ( c2_1(a2427)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f3448,plain,
    ( ~ spl0_69
    | spl0_172
    | ~ spl0_37
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f3429,f577,f400,f2212,f572]) ).

fof(f572,plain,
    ( spl0_69
  <=> c3_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2212,plain,
    ( spl0_172
  <=> c1_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f577,plain,
    ( spl0_70
  <=> c2_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3429,plain,
    ( c1_1(a2409)
    | ~ c3_1(a2409)
    | ~ spl0_37
    | ~ spl0_70 ),
    inference(resolution,[],[f401,f579]) ).

fof(f579,plain,
    ( c2_1(a2409)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f3433,plain,
    ( spl0_58
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f3431,f532,f400,f509]) ).

fof(f509,plain,
    ( spl0_58
  <=> ! [X81] :
        ( ~ c3_1(X81)
        | c0_1(X81)
        | c1_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f532,plain,
    ( spl0_62
  <=> ! [X101] :
        ( c2_1(X101)
        | c0_1(X101)
        | c1_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f3431,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f3417]) ).

fof(f3417,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(resolution,[],[f401,f533]) ).

fof(f533,plain,
    ( ! [X101] :
        ( c2_1(X101)
        | c0_1(X101)
        | c1_1(X101) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f3401,plain,
    ( spl0_168
    | ~ spl0_29
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3400,f950,f945,f364,f1872]) ).

fof(f950,plain,
    ( spl0_140
  <=> c0_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3400,plain,
    ( c3_1(a2410)
    | ~ spl0_29
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3385,f947]) ).

fof(f3385,plain,
    ( c3_1(a2410)
    | ~ c1_1(a2410)
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(resolution,[],[f365,f952]) ).

fof(f952,plain,
    ( c0_1(a2410)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f3362,plain,
    ( ~ spl0_36
    | ~ spl0_54
    | ~ spl0_62
    | spl0_150
    | spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3361]) ).

fof(f3361,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_54
    | ~ spl0_62
    | spl0_150
    | spl0_151 ),
    inference(subsumption_resolution,[],[f3348,f1006]) ).

fof(f1006,plain,
    ( ~ c3_1(a2404)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1004,plain,
    ( spl0_150
  <=> c3_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f3348,plain,
    ( c3_1(a2404)
    | ~ spl0_36
    | ~ spl0_54
    | ~ spl0_62
    | spl0_151 ),
    inference(resolution,[],[f3346,f1011]) ).

fof(f1011,plain,
    ( ~ c2_1(a2404)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1009,plain,
    ( spl0_151
  <=> c2_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3346,plain,
    ( ! [X18] :
        ( c2_1(X18)
        | c3_1(X18) )
    | ~ spl0_36
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f397,f3264]) ).

fof(f3264,plain,
    ( ! [X68] :
        ( c2_1(X68)
        | c0_1(X68) )
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f488,f533]) ).

fof(f488,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f487,plain,
    ( spl0_54
  <=> ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f397,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | c3_1(X18) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f396,plain,
    ( spl0_36
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | c3_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f3319,plain,
    ( ~ spl0_174
    | ~ spl0_19
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3318,f1046,f1041,f324,f2387]) ).

fof(f2387,plain,
    ( spl0_174
  <=> c2_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f324,plain,
    ( spl0_19
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1041,plain,
    ( spl0_157
  <=> c3_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1046,plain,
    ( spl0_158
  <=> c0_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3318,plain,
    ( ~ c2_1(a2402)
    | ~ spl0_19
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3301,f1043]) ).

fof(f1043,plain,
    ( c3_1(a2402)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f3301,plain,
    ( ~ c3_1(a2402)
    | ~ c2_1(a2402)
    | ~ spl0_19
    | ~ spl0_158 ),
    inference(resolution,[],[f325,f1048]) ).

fof(f1048,plain,
    ( c0_1(a2402)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f325,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f3277,plain,
    ( ~ spl0_44
    | ~ spl0_62
    | spl0_151
    | spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3276]) ).

fof(f3276,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_62
    | spl0_151
    | spl0_152 ),
    inference(subsumption_resolution,[],[f3267,f1016]) ).

fof(f1016,plain,
    ( ~ c1_1(a2404)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1014,plain,
    ( spl0_152
  <=> c1_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3267,plain,
    ( c1_1(a2404)
    | ~ spl0_44
    | ~ spl0_62
    | spl0_151 ),
    inference(resolution,[],[f3240,f1011]) ).

fof(f3240,plain,
    ( ! [X43] :
        ( c2_1(X43)
        | c1_1(X43) )
    | ~ spl0_44
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f437,f533]) ).

fof(f437,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f436,plain,
    ( spl0_44
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f3259,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f3258]) ).

fof(f3258,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f3251,f803]) ).

fof(f3251,plain,
    ( ~ c3_1(a2422)
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_113 ),
    inference(resolution,[],[f3239,f808]) ).

fof(f3239,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f374,f308]) ).

fof(f308,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f307,plain,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f3256,plain,
    ( ~ spl0_168
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f3247,f945,f373,f307,f1872]) ).

fof(f3247,plain,
    ( ~ c3_1(a2410)
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(resolution,[],[f3239,f947]) ).

fof(f3227,plain,
    ( ~ spl0_177
    | ~ spl0_32
    | spl0_141
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3226,f966,f956,f377,f2531]) ).

fof(f2531,plain,
    ( spl0_177
  <=> c1_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f377,plain,
    ( spl0_32
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f956,plain,
    ( spl0_141
  <=> c2_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f966,plain,
    ( spl0_143
  <=> c0_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3226,plain,
    ( ~ c1_1(a2408)
    | ~ spl0_32
    | spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2676,f968]) ).

fof(f968,plain,
    ( c0_1(a2408)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f2676,plain,
    ( ~ c1_1(a2408)
    | ~ c0_1(a2408)
    | ~ spl0_32
    | spl0_141 ),
    inference(resolution,[],[f958,f378]) ).

fof(f378,plain,
    ( ! [X13] :
        ( c2_1(X13)
        | ~ c1_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f958,plain,
    ( ~ c2_1(a2408)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f3216,plain,
    ( ~ spl0_59
    | ~ spl0_62
    | spl0_120
    | spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3215]) ).

fof(f3215,plain,
    ( $false
    | ~ spl0_59
    | ~ spl0_62
    | spl0_120
    | spl0_121 ),
    inference(subsumption_resolution,[],[f3203,f851]) ).

fof(f851,plain,
    ( ~ c0_1(a2417)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_121
  <=> c0_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3203,plain,
    ( c0_1(a2417)
    | ~ spl0_59
    | ~ spl0_62
    | spl0_120 ),
    inference(resolution,[],[f3170,f846]) ).

fof(f846,plain,
    ( ~ c1_1(a2417)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_120
  <=> c1_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3170,plain,
    ( ! [X88] :
        ( c1_1(X88)
        | c0_1(X88) )
    | ~ spl0_59
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f517,f533]) ).

fof(f517,plain,
    ( ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | c1_1(X88) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f516,plain,
    ( spl0_59
  <=> ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | c1_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3214,plain,
    ( ~ spl0_59
    | ~ spl0_62
    | spl0_129
    | spl0_130 ),
    inference(avatar_contradiction_clause,[],[f3213]) ).

fof(f3213,plain,
    ( $false
    | ~ spl0_59
    | ~ spl0_62
    | spl0_129
    | spl0_130 ),
    inference(subsumption_resolution,[],[f3200,f899]) ).

fof(f899,plain,
    ( ~ c0_1(a2413)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl0_130
  <=> c0_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3200,plain,
    ( c0_1(a2413)
    | ~ spl0_59
    | ~ spl0_62
    | spl0_129 ),
    inference(resolution,[],[f3170,f894]) ).

fof(f894,plain,
    ( ~ c1_1(a2413)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl0_129
  <=> c1_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f3169,plain,
    ( spl0_159
    | ~ spl0_58
    | spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f3168,f673,f668,f509,f1075]) ).

fof(f668,plain,
    ( spl0_87
  <=> c0_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f3168,plain,
    ( c1_1(a2455)
    | ~ spl0_58
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f2690,f670]) ).

fof(f670,plain,
    ( ~ c0_1(a2455)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f2690,plain,
    ( c0_1(a2455)
    | c1_1(a2455)
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(resolution,[],[f510,f675]) ).

fof(f510,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | c0_1(X81)
        | c1_1(X81) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f3167,plain,
    ( spl0_92
    | ~ spl0_62
    | spl0_90
    | spl0_91 ),
    inference(avatar_split_clause,[],[f3166,f689,f684,f532,f694]) ).

fof(f694,plain,
    ( spl0_92
  <=> c0_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f684,plain,
    ( spl0_90
  <=> c2_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f689,plain,
    ( spl0_91
  <=> c1_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3166,plain,
    ( c0_1(a2453)
    | ~ spl0_62
    | spl0_90
    | spl0_91 ),
    inference(subsumption_resolution,[],[f3136,f691]) ).

fof(f691,plain,
    ( ~ c1_1(a2453)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f3136,plain,
    ( c0_1(a2453)
    | c1_1(a2453)
    | ~ spl0_62
    | spl0_90 ),
    inference(resolution,[],[f533,f686]) ).

fof(f686,plain,
    ( ~ c2_1(a2453)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f3165,plain,
    ( ~ spl0_89
    | ~ spl0_159
    | ~ spl0_15
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2393,f673,f307,f1075,f678]) ).

fof(f2393,plain,
    ( ~ c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_15
    | ~ spl0_88 ),
    inference(resolution,[],[f675,f308]) ).

fof(f3160,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_143
    | ~ spl0_177 ),
    inference(avatar_contradiction_clause,[],[f3159]) ).

fof(f3159,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_143
    | ~ spl0_177 ),
    inference(subsumption_resolution,[],[f3157,f968]) ).

fof(f3157,plain,
    ( ~ c0_1(a2408)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_177 ),
    inference(resolution,[],[f2532,f2560]) ).

fof(f2560,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f333,f365]) ).

fof(f2532,plain,
    ( c1_1(a2408)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f2531]) ).

fof(f3079,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_60
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3078]) ).

fof(f3078,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_60
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3065,f963]) ).

fof(f963,plain,
    ( c3_1(a2408)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl0_142
  <=> c3_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f3065,plain,
    ( ~ c3_1(a2408)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_60
    | ~ spl0_143 ),
    inference(resolution,[],[f3053,f968]) ).

fof(f3053,plain,
    ( ! [X90] :
        ( ~ c0_1(X90)
        | ~ c3_1(X90) )
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f522,f2560]) ).

fof(f522,plain,
    ( ! [X90] :
        ( ~ c3_1(X90)
        | c1_1(X90)
        | ~ c0_1(X90) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl0_60
  <=> ! [X90] :
        ( ~ c3_1(X90)
        | c1_1(X90)
        | ~ c0_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f3051,plain,
    ( ~ spl0_19
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f3050]) ).

fof(f3050,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f3049,f579]) ).

fof(f3049,plain,
    ( ~ c2_1(a2409)
    | ~ spl0_19
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f3046,f574]) ).

fof(f574,plain,
    ( c3_1(a2409)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f3046,plain,
    ( ~ c3_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_19
    | ~ spl0_71 ),
    inference(resolution,[],[f325,f584]) ).

fof(f584,plain,
    ( c0_1(a2409)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f582,plain,
    ( spl0_71
  <=> c0_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3025,plain,
    ( ~ spl0_43
    | spl0_156
    | ~ spl0_157
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3024]) ).

fof(f3024,plain,
    ( $false
    | ~ spl0_43
    | spl0_156
    | ~ spl0_157
    | spl0_174 ),
    inference(subsumption_resolution,[],[f3023,f1043]) ).

fof(f3023,plain,
    ( ~ c3_1(a2402)
    | ~ spl0_43
    | spl0_156
    | spl0_174 ),
    inference(subsumption_resolution,[],[f3021,f1038]) ).

fof(f1038,plain,
    ( ~ c1_1(a2402)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1036,plain,
    ( spl0_156
  <=> c1_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3021,plain,
    ( c1_1(a2402)
    | ~ c3_1(a2402)
    | ~ spl0_43
    | spl0_174 ),
    inference(resolution,[],[f2389,f431]) ).

fof(f431,plain,
    ( ! [X38] :
        ( c2_1(X38)
        | c1_1(X38)
        | ~ c3_1(X38) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl0_43
  <=> ! [X38] :
        ( ~ c3_1(X38)
        | c1_1(X38)
        | c2_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2389,plain,
    ( ~ c2_1(a2402)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f2387]) ).

fof(f3014,plain,
    ( ~ spl0_71
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f3010,f2212,f364,f332,f582]) ).

fof(f3010,plain,
    ( ~ c0_1(a2409)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_172 ),
    inference(resolution,[],[f2213,f2560]) ).

fof(f2213,plain,
    ( c1_1(a2409)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f2212]) ).

fof(f2698,plain,
    ( spl0_120
    | ~ spl0_58
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2694,f854,f849,f509,f844]) ).

fof(f854,plain,
    ( spl0_122
  <=> c3_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2694,plain,
    ( c1_1(a2417)
    | ~ spl0_58
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2685,f851]) ).

fof(f2685,plain,
    ( c0_1(a2417)
    | c1_1(a2417)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f510,f856]) ).

fof(f856,plain,
    ( c3_1(a2417)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f2679,plain,
    ( spl0_177
    | ~ spl0_43
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2678,f961,f956,f430,f2531]) ).

fof(f2678,plain,
    ( c1_1(a2408)
    | ~ spl0_43
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2675,f963]) ).

fof(f2675,plain,
    ( c1_1(a2408)
    | ~ c3_1(a2408)
    | ~ spl0_43
    | spl0_141 ),
    inference(resolution,[],[f958,f431]) ).

fof(f2668,plain,
    ( spl0_165
    | ~ spl0_57
    | spl0_153
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2667,f1025,f1020,f503,f1712]) ).

fof(f1712,plain,
    ( spl0_165
  <=> c0_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f503,plain,
    ( spl0_57
  <=> ! [X76] :
        ( c3_1(X76)
        | c0_1(X76)
        | c2_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1020,plain,
    ( spl0_153
  <=> c3_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1025,plain,
    ( spl0_154
  <=> c2_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2667,plain,
    ( c0_1(a2403)
    | ~ spl0_57
    | spl0_153
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2657,f1022]) ).

fof(f1022,plain,
    ( ~ c3_1(a2403)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f2657,plain,
    ( c0_1(a2403)
    | c3_1(a2403)
    | ~ spl0_57
    | spl0_154 ),
    inference(resolution,[],[f504,f1027]) ).

fof(f1027,plain,
    ( ~ c2_1(a2403)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f504,plain,
    ( ! [X76] :
        ( c2_1(X76)
        | c0_1(X76)
        | c3_1(X76) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f2651,plain,
    ( ~ spl0_28
    | spl0_126
    | ~ spl0_128
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2650]) ).

fof(f2650,plain,
    ( $false
    | ~ spl0_28
    | spl0_126
    | ~ spl0_128
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2649,f1182]) ).

fof(f1182,plain,
    ( c2_1(a2414)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1180]) ).

fof(f1180,plain,
    ( spl0_163
  <=> c2_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2649,plain,
    ( ~ c2_1(a2414)
    | ~ spl0_28
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2637,f878]) ).

fof(f878,plain,
    ( ~ c3_1(a2414)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_126
  <=> c3_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2637,plain,
    ( c3_1(a2414)
    | ~ c2_1(a2414)
    | ~ spl0_28
    | ~ spl0_128 ),
    inference(resolution,[],[f361,f888]) ).

fof(f888,plain,
    ( c0_1(a2414)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_128
  <=> c0_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f361,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c3_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_28
  <=> ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2645,plain,
    ( ~ spl0_28
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2644]) ).

fof(f2644,plain,
    ( $false
    | ~ spl0_28
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2643,f995]) ).

fof(f2643,plain,
    ( ~ c2_1(a2405)
    | ~ spl0_28
    | spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2634,f990]) ).

fof(f2634,plain,
    ( c3_1(a2405)
    | ~ c2_1(a2405)
    | ~ spl0_28
    | ~ spl0_149 ),
    inference(resolution,[],[f361,f1000]) ).

fof(f1000,plain,
    ( c0_1(a2405)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f998,plain,
    ( spl0_149
  <=> c0_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2626,plain,
    ( ~ spl0_46
    | ~ spl0_53
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2625,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_53
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2612,f851]) ).

fof(f2612,plain,
    ( c0_1(a2417)
    | ~ spl0_46
    | ~ spl0_53
    | ~ spl0_122 ),
    inference(resolution,[],[f2605,f856]) ).

fof(f2605,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65) )
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f483,f447]) ).

fof(f2575,plain,
    ( spl0_108
    | ~ spl0_164
    | ~ spl0_34
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2280,f785,f387,f1641,f780]) ).

fof(f780,plain,
    ( spl0_108
  <=> c3_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1641,plain,
    ( spl0_164
  <=> c1_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f785,plain,
    ( spl0_109
  <=> c2_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2280,plain,
    ( ~ c1_1(a2425)
    | c3_1(a2425)
    | ~ spl0_34
    | spl0_109 ),
    inference(resolution,[],[f388,f787]) ).

fof(f787,plain,
    ( ~ c2_1(a2425)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f2558,plain,
    ( spl0_87
    | ~ spl0_46
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2557,f678,f673,f446,f668]) ).

fof(f2557,plain,
    ( c0_1(a2455)
    | ~ spl0_46
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2547,f680]) ).

fof(f2547,plain,
    ( c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_46
    | ~ spl0_88 ),
    inference(resolution,[],[f447,f675]) ).

fof(f2497,plain,
    ( spl0_160
    | ~ spl0_43
    | spl0_96
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2496,f726,f716,f430,f1086]) ).

fof(f1086,plain,
    ( spl0_160
  <=> c1_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2496,plain,
    ( c1_1(a2435)
    | ~ spl0_43
    | spl0_96
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f2481,f728]) ).

fof(f2481,plain,
    ( c1_1(a2435)
    | ~ c3_1(a2435)
    | ~ spl0_43
    | spl0_96 ),
    inference(resolution,[],[f431,f718]) ).

fof(f2492,plain,
    ( ~ spl0_43
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2491]) ).

fof(f2491,plain,
    ( $false
    | ~ spl0_43
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2490,f872]) ).

fof(f872,plain,
    ( c3_1(a2416)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f870,plain,
    ( spl0_125
  <=> c3_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2490,plain,
    ( ~ c3_1(a2416)
    | ~ spl0_43
    | spl0_123
    | spl0_124 ),
    inference(subsumption_resolution,[],[f2478,f867]) ).

fof(f867,plain,
    ( ~ c1_1(a2416)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f865,plain,
    ( spl0_124
  <=> c1_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2478,plain,
    ( c1_1(a2416)
    | ~ c3_1(a2416)
    | ~ spl0_43
    | spl0_123 ),
    inference(resolution,[],[f431,f862]) ).

fof(f862,plain,
    ( ~ c2_1(a2416)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_123
  <=> c2_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2430,plain,
    ( ~ spl0_68
    | ~ spl0_32
    | ~ spl0_67
    | spl0_161 ),
    inference(avatar_split_clause,[],[f2427,f1111,f561,f377,f566]) ).

fof(f566,plain,
    ( spl0_68
  <=> c0_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1111,plain,
    ( spl0_161
  <=> c2_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2427,plain,
    ( ~ c0_1(a2450)
    | ~ spl0_32
    | ~ spl0_67
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2421,f563]) ).

fof(f2421,plain,
    ( ~ c1_1(a2450)
    | ~ c0_1(a2450)
    | ~ spl0_32
    | spl0_161 ),
    inference(resolution,[],[f378,f1113]) ).

fof(f1113,plain,
    ( ~ c2_1(a2450)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f2385,plain,
    ( ~ spl0_42
    | spl0_108
    | ~ spl0_110
    | spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2384]) ).

fof(f2384,plain,
    ( $false
    | ~ spl0_42
    | spl0_108
    | ~ spl0_110
    | spl0_164 ),
    inference(subsumption_resolution,[],[f2383,f782]) ).

fof(f782,plain,
    ( ~ c3_1(a2425)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f2383,plain,
    ( c3_1(a2425)
    | ~ spl0_42
    | ~ spl0_110
    | spl0_164 ),
    inference(subsumption_resolution,[],[f2375,f792]) ).

fof(f792,plain,
    ( c0_1(a2425)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_110
  <=> c0_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2375,plain,
    ( ~ c0_1(a2425)
    | c3_1(a2425)
    | ~ spl0_42
    | spl0_164 ),
    inference(resolution,[],[f427,f1643]) ).

fof(f1643,plain,
    ( ~ c1_1(a2425)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f427,plain,
    ( ! [X37] :
        ( c1_1(X37)
        | ~ c0_1(X37)
        | c3_1(X37) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl0_42
  <=> ! [X37] :
        ( ~ c0_1(X37)
        | c1_1(X37)
        | c3_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2365,plain,
    ( spl0_93
    | ~ spl0_38
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2364,f710,f705,f406,f700]) ).

fof(f700,plain,
    ( spl0_93
  <=> c1_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f406,plain,
    ( spl0_38
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f705,plain,
    ( spl0_94
  <=> c2_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f710,plain,
    ( spl0_95
  <=> c0_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2364,plain,
    ( c1_1(a2437)
    | ~ spl0_38
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f2349,f712]) ).

fof(f712,plain,
    ( c0_1(a2437)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f2349,plain,
    ( c1_1(a2437)
    | ~ c0_1(a2437)
    | ~ spl0_38
    | ~ spl0_94 ),
    inference(resolution,[],[f407,f707]) ).

fof(f707,plain,
    ( c2_1(a2437)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f407,plain,
    ( ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f2319,plain,
    ( spl0_133
    | ~ spl0_54
    | spl0_132
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2318,f918,f908,f487,f913]) ).

fof(f913,plain,
    ( spl0_133
  <=> c0_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f908,plain,
    ( spl0_132
  <=> c2_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f918,plain,
    ( spl0_134
  <=> c1_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2318,plain,
    ( c0_1(a2412)
    | ~ spl0_54
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2309,f910]) ).

fof(f910,plain,
    ( ~ c2_1(a2412)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f2309,plain,
    ( c0_1(a2412)
    | c2_1(a2412)
    | ~ spl0_54
    | ~ spl0_134 ),
    inference(resolution,[],[f488,f920]) ).

fof(f920,plain,
    ( c1_1(a2412)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f2305,plain,
    ( ~ spl0_29
    | ~ spl0_51
    | spl0_114
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2304]) ).

fof(f2304,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_51
    | spl0_114
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2297,f814]) ).

fof(f2297,plain,
    ( c3_1(a2420)
    | ~ spl0_29
    | ~ spl0_51
    | ~ spl0_116 ),
    inference(resolution,[],[f2288,f824]) ).

fof(f824,plain,
    ( c1_1(a2420)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f822,plain,
    ( spl0_116
  <=> c1_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2288,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c3_1(X63) )
    | ~ spl0_29
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f475,f365]) ).

fof(f475,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c3_1(X63) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl0_51
  <=> ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c3_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2292,plain,
    ( ~ spl0_29
    | spl0_114
    | ~ spl0_116
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f2291]) ).

fof(f2291,plain,
    ( $false
    | ~ spl0_29
    | spl0_114
    | ~ spl0_116
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2290,f824]) ).

fof(f2290,plain,
    ( ~ c1_1(a2420)
    | ~ spl0_29
    | spl0_114
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2289,f814]) ).

fof(f2289,plain,
    ( c3_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_29
    | ~ spl0_170 ),
    inference(resolution,[],[f2073,f365]) ).

fof(f2073,plain,
    ( c0_1(a2420)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f2071]) ).

fof(f2071,plain,
    ( spl0_170
  <=> c0_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2237,plain,
    ( ~ spl0_50
    | ~ spl0_54
    | spl0_85
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f2236]) ).

fof(f2236,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_54
    | spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f2228,f659]) ).

fof(f659,plain,
    ( ~ c0_1(a2468)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl0_85
  <=> c0_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2228,plain,
    ( c0_1(a2468)
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_86 ),
    inference(resolution,[],[f2200,f664]) ).

fof(f664,plain,
    ( c1_1(a2468)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_86
  <=> c1_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2200,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f488,f470]) ).

fof(f2232,plain,
    ( ~ spl0_50
    | ~ spl0_54
    | ~ spl0_155
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2231]) ).

fof(f2231,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_155
    | spl0_165 ),
    inference(subsumption_resolution,[],[f2220,f1713]) ).

fof(f1713,plain,
    ( ~ c0_1(a2403)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1712]) ).

fof(f2220,plain,
    ( c0_1(a2403)
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_155 ),
    inference(resolution,[],[f2200,f1032]) ).

fof(f1032,plain,
    ( c1_1(a2403)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1030,plain,
    ( spl0_155
  <=> c1_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2209,plain,
    ( ~ spl0_161
    | ~ spl0_67
    | ~ spl0_15
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2206,f556,f307,f561,f1111]) ).

fof(f556,plain,
    ( spl0_66
  <=> c3_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2206,plain,
    ( ~ c1_1(a2450)
    | ~ c2_1(a2450)
    | ~ spl0_15
    | ~ spl0_66 ),
    inference(resolution,[],[f558,f308]) ).

fof(f558,plain,
    ( c3_1(a2450)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f2166,plain,
    ( ~ spl0_57
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(avatar_contradiction_clause,[],[f2165]) ).

fof(f2165,plain,
    ( $false
    | ~ spl0_57
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(subsumption_resolution,[],[f2164,f750]) ).

fof(f750,plain,
    ( ~ c3_1(a2428)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f748,plain,
    ( spl0_102
  <=> c3_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2164,plain,
    ( c3_1(a2428)
    | ~ spl0_57
    | spl0_103
    | spl0_104 ),
    inference(subsumption_resolution,[],[f2157,f760]) ).

fof(f760,plain,
    ( ~ c0_1(a2428)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f758,plain,
    ( spl0_104
  <=> c0_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2157,plain,
    ( c0_1(a2428)
    | c3_1(a2428)
    | ~ spl0_57
    | spl0_103 ),
    inference(resolution,[],[f504,f755]) ).

fof(f755,plain,
    ( ~ c2_1(a2428)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f753,plain,
    ( spl0_103
  <=> c2_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2143,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_44
    | spl0_109
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2142,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_44
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f2132,f787]) ).

fof(f2132,plain,
    ( c2_1(a2425)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_110 ),
    inference(resolution,[],[f2126,f792]) ).

fof(f2126,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c2_1(X43) )
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f437,f2059]) ).

fof(f2059,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f333,f365]) ).

fof(f2139,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_44
    | spl0_144
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2138]) ).

fof(f2138,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_44
    | spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2129,f974]) ).

fof(f974,plain,
    ( ~ c2_1(a2407)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f972,plain,
    ( spl0_144
  <=> c2_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2129,plain,
    ( c2_1(a2407)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_44
    | ~ spl0_146 ),
    inference(resolution,[],[f2126,f984]) ).

fof(f984,plain,
    ( c0_1(a2407)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f982,plain,
    ( spl0_146
  <=> c0_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2115,plain,
    ( ~ spl0_140
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2100,f945,f364,f332,f950]) ).

fof(f2100,plain,
    ( ~ c0_1(a2410)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(resolution,[],[f2059,f947]) ).

fof(f2074,plain,
    ( ~ spl0_116
    | spl0_170
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1740,f817,f469,f2071,f822]) ).

fof(f1740,plain,
    ( c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_50
    | ~ spl0_115 ),
    inference(resolution,[],[f470,f819]) ).

fof(f2058,plain,
    ( spl0_153
    | ~ spl0_29
    | ~ spl0_155
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2057,f1712,f1030,f364,f1020]) ).

fof(f2057,plain,
    ( c3_1(a2403)
    | ~ spl0_29
    | ~ spl0_155
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2012,f1032]) ).

fof(f2012,plain,
    ( c3_1(a2403)
    | ~ c1_1(a2403)
    | ~ spl0_29
    | ~ spl0_165 ),
    inference(resolution,[],[f365,f1714]) ).

fof(f1714,plain,
    ( c0_1(a2403)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1712]) ).

fof(f2054,plain,
    ( spl0_114
    | ~ spl0_29
    | ~ spl0_50
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2053,f822,f817,f469,f364,f812]) ).

fof(f2053,plain,
    ( c3_1(a2420)
    | ~ spl0_29
    | ~ spl0_50
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2019,f824]) ).

fof(f2019,plain,
    ( c3_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_29
    | ~ spl0_50
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(resolution,[],[f365,f1748]) ).

fof(f1748,plain,
    ( c0_1(a2420)
    | ~ spl0_50
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1740,f824]) ).

fof(f2052,plain,
    ( ~ spl0_79
    | ~ spl0_29
    | spl0_78
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2039,f630,f620,f364,f625]) ).

fof(f625,plain,
    ( spl0_79
  <=> c1_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f620,plain,
    ( spl0_78
  <=> c3_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f630,plain,
    ( spl0_80
  <=> c0_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2039,plain,
    ( ~ c1_1(a2484)
    | ~ spl0_29
    | spl0_78
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f2022,f622]) ).

fof(f622,plain,
    ( ~ c3_1(a2484)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f2022,plain,
    ( c3_1(a2484)
    | ~ c1_1(a2484)
    | ~ spl0_29
    | ~ spl0_80 ),
    inference(resolution,[],[f365,f632]) ).

fof(f632,plain,
    ( c0_1(a2484)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f2000,plain,
    ( ~ spl0_50
    | ~ spl0_54
    | ~ spl0_62
    | spl0_96
    | spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1999]) ).

fof(f1999,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_62
    | spl0_96
    | spl0_97 ),
    inference(subsumption_resolution,[],[f1991,f723]) ).

fof(f1991,plain,
    ( c0_1(a2435)
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_62
    | spl0_96 ),
    inference(resolution,[],[f1975,f718]) ).

fof(f1975,plain,
    ( ! [X101] :
        ( c2_1(X101)
        | c0_1(X101) )
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(subsumption_resolution,[],[f533,f1877]) ).

fof(f1877,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f488,f470]) ).

fof(f1932,plain,
    ( ~ spl0_24
    | ~ spl0_50
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1931]) ).

fof(f1931,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_50
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1923,f819]) ).

fof(f1923,plain,
    ( ~ c2_1(a2420)
    | ~ spl0_24
    | ~ spl0_50
    | ~ spl0_116 ),
    inference(resolution,[],[f1862,f824]) ).

fof(f1862,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_24
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f345,f470]) ).

fof(f345,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c0_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl0_24
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1918,plain,
    ( spl0_168
    | ~ spl0_34
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1917,f945,f940,f387,f1872]) ).

fof(f1917,plain,
    ( c3_1(a2410)
    | ~ spl0_34
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1916,f947]) ).

fof(f1916,plain,
    ( ~ c1_1(a2410)
    | c3_1(a2410)
    | ~ spl0_34
    | spl0_138 ),
    inference(resolution,[],[f942,f388]) ).

fof(f942,plain,
    ( ~ c2_1(a2410)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f1900,plain,
    ( ~ spl0_15
    | ~ spl0_26
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1899]) ).

fof(f1899,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_26
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1891,f819]) ).

fof(f1891,plain,
    ( ~ c2_1(a2420)
    | ~ spl0_15
    | ~ spl0_26
    | ~ spl0_116 ),
    inference(resolution,[],[f1861,f824]) ).

fof(f1861,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_15
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f353,f308]) ).

fof(f1870,plain,
    ( ~ spl0_119
    | ~ spl0_50
    | spl0_117
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1856,f833,f828,f469,f838]) ).

fof(f838,plain,
    ( spl0_119
  <=> c1_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f828,plain,
    ( spl0_117
  <=> c0_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f833,plain,
    ( spl0_118
  <=> c2_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1856,plain,
    ( ~ c1_1(a2418)
    | ~ spl0_50
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1850,f830]) ).

fof(f830,plain,
    ( ~ c0_1(a2418)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f1850,plain,
    ( c0_1(a2418)
    | ~ c1_1(a2418)
    | ~ spl0_50
    | ~ spl0_118 ),
    inference(resolution,[],[f835,f470]) ).

fof(f835,plain,
    ( c2_1(a2418)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f1846,plain,
    ( ~ spl0_36
    | ~ spl0_57
    | spl0_150
    | spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1845]) ).

fof(f1845,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_57
    | spl0_150
    | spl0_151 ),
    inference(subsumption_resolution,[],[f1829,f1006]) ).

fof(f1829,plain,
    ( c3_1(a2404)
    | ~ spl0_36
    | ~ spl0_57
    | spl0_151 ),
    inference(resolution,[],[f1825,f1011]) ).

fof(f1825,plain,
    ( ! [X76] :
        ( c2_1(X76)
        | c3_1(X76) )
    | ~ spl0_36
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f504,f397]) ).

fof(f1753,plain,
    ( ~ spl0_159
    | ~ spl0_50
    | spl0_87
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1749,f678,f668,f469,f1075]) ).

fof(f1749,plain,
    ( ~ c1_1(a2455)
    | ~ spl0_50
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1741,f670]) ).

fof(f1741,plain,
    ( c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ spl0_50
    | ~ spl0_89 ),
    inference(resolution,[],[f470,f680]) ).

fof(f1722,plain,
    ( ~ spl0_48
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1721]) ).

fof(f1721,plain,
    ( $false
    | ~ spl0_48
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1720,f739]) ).

fof(f1720,plain,
    ( ~ c3_1(a2432)
    | ~ spl0_48
    | spl0_99
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1703,f734]) ).

fof(f1703,plain,
    ( c0_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(resolution,[],[f458,f744]) ).

fof(f458,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | ~ c3_1(X52) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f457,plain,
    ( spl0_48
  <=> ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1694,plain,
    ( ~ spl0_42
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1693]) ).

fof(f1693,plain,
    ( $false
    | ~ spl0_42
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1692,f878]) ).

fof(f1692,plain,
    ( c3_1(a2414)
    | ~ spl0_42
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1687,f888]) ).

fof(f1687,plain,
    ( ~ c0_1(a2414)
    | c3_1(a2414)
    | ~ spl0_42
    | spl0_127 ),
    inference(resolution,[],[f427,f883]) ).

fof(f883,plain,
    ( ~ c1_1(a2414)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f881,plain,
    ( spl0_127
  <=> c1_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1666,plain,
    ( spl0_163
    | ~ spl0_36
    | spl0_126
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1665,f886,f876,f396,f1180]) ).

fof(f1665,plain,
    ( c2_1(a2414)
    | ~ spl0_36
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1657,f878]) ).

fof(f1657,plain,
    ( c2_1(a2414)
    | c3_1(a2414)
    | ~ spl0_36
    | ~ spl0_128 ),
    inference(resolution,[],[f397,f888]) ).

fof(f1633,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1632]) ).

fof(f1632,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1619,f744]) ).

fof(f1619,plain,
    ( ~ c1_1(a2432)
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_100 ),
    inference(resolution,[],[f1593,f739]) ).

fof(f1593,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f374,f308]) ).

fof(f1609,plain,
    ( ~ spl0_29
    | ~ spl0_42
    | spl0_108
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1608,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_42
    | spl0_108
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1600,f792]) ).

fof(f1600,plain,
    ( ~ c0_1(a2425)
    | ~ spl0_29
    | ~ spl0_42
    | spl0_108 ),
    inference(resolution,[],[f1592,f782]) ).

fof(f1592,plain,
    ( ! [X37] :
        ( c3_1(X37)
        | ~ c0_1(X37) )
    | ~ spl0_29
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f427,f365]) ).

fof(f1546,plain,
    ( spl0_153
    | ~ spl0_155
    | ~ spl0_34
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1515,f1025,f387,f1030,f1020]) ).

fof(f1515,plain,
    ( ~ c1_1(a2403)
    | c3_1(a2403)
    | ~ spl0_34
    | spl0_154 ),
    inference(resolution,[],[f388,f1027]) ).

fof(f1344,plain,
    ( ~ spl0_122
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_43
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1342,f844,f430,f400,f307,f854]) ).

fof(f1342,plain,
    ( ~ c3_1(a2417)
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_43
    | spl0_120 ),
    inference(resolution,[],[f846,f1204]) ).

fof(f1204,plain,
    ( ! [X38] :
        ( c1_1(X38)
        | ~ c3_1(X38) )
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f431,f1106]) ).

fof(f1106,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_15
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f401,f308]) ).

fof(f1316,plain,
    ( ~ spl0_15
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_50
    | spl0_82
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1315]) ).

fof(f1315,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_50
    | spl0_82
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f1310,f643]) ).

fof(f643,plain,
    ( ~ c0_1(a2478)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f641,plain,
    ( spl0_82
  <=> c0_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1310,plain,
    ( c0_1(a2478)
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_50
    | ~ spl0_83 ),
    inference(resolution,[],[f1277,f648]) ).

fof(f1277,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59) )
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f470,f1138]) ).

fof(f1138,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27) )
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f411,f1106]) ).

fof(f1189,plain,
    ( ~ spl0_36
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1188]) ).

fof(f1188,plain,
    ( $false
    | ~ spl0_36
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1187,f782]) ).

fof(f1187,plain,
    ( c3_1(a2425)
    | ~ spl0_36
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1186,f787]) ).

fof(f1186,plain,
    ( c2_1(a2425)
    | c3_1(a2425)
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(resolution,[],[f792,f397]) ).

fof(f1178,plain,
    ( ~ spl0_15
    | ~ spl0_36
    | ~ spl0_37
    | ~ spl0_39
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1177,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_36
    | ~ spl0_37
    | ~ spl0_39
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1176,f883]) ).

fof(f1176,plain,
    ( c1_1(a2414)
    | ~ spl0_15
    | ~ spl0_36
    | ~ spl0_37
    | ~ spl0_39
    | spl0_126
    | ~ spl0_128 ),
    inference(resolution,[],[f1167,f1138]) ).

fof(f1167,plain,
    ( c2_1(a2414)
    | ~ spl0_36
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1166,f878]) ).

fof(f1166,plain,
    ( c2_1(a2414)
    | c3_1(a2414)
    | ~ spl0_36
    | ~ spl0_128 ),
    inference(resolution,[],[f888,f397]) ).

fof(f1123,plain,
    ( ~ spl0_140
    | ~ spl0_139
    | ~ spl0_32
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1122,f940,f377,f945,f950]) ).

fof(f1122,plain,
    ( ~ c1_1(a2410)
    | ~ c0_1(a2410)
    | ~ spl0_32
    | spl0_138 ),
    inference(resolution,[],[f942,f378]) ).

fof(f1120,plain,
    ( ~ spl0_15
    | ~ spl0_37
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1119]) ).

fof(f1119,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1116,f680]) ).

fof(f1116,plain,
    ( ~ c2_1(a2455)
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_88 ),
    inference(resolution,[],[f1106,f675]) ).

fof(f1109,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_21
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1107,f556,f332,f566,f561]) ).

fof(f1107,plain,
    ( ~ c0_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_21
    | ~ spl0_66 ),
    inference(resolution,[],[f558,f333]) ).

fof(f1093,plain,
    ( ~ spl0_160
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1090,f726,f373,f307,f1086]) ).

fof(f1090,plain,
    ( ~ c1_1(a2435)
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(resolution,[],[f728,f1060]) ).

fof(f1060,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f374,f308]) ).

fof(f1070,plain,
    ( ~ spl0_15
    | ~ spl0_26
    | ~ spl0_32
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1069]) ).

fof(f1069,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_26
    | ~ spl0_32
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1068,f627]) ).

fof(f627,plain,
    ( c1_1(a2484)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f1068,plain,
    ( ~ c1_1(a2484)
    | ~ spl0_15
    | ~ spl0_26
    | ~ spl0_32
    | ~ spl0_80 ),
    inference(resolution,[],[f1065,f632]) ).

fof(f1065,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | ~ c1_1(X13) )
    | ~ spl0_15
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f378,f1053]) ).

fof(f1053,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_15
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f353,f308]) ).

fof(f1059,plain,
    ( ~ spl0_21
    | ~ spl0_29
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1058]) ).

fof(f1058,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1057,f632]) ).

fof(f1057,plain,
    ( ~ c0_1(a2484)
    | ~ spl0_21
    | ~ spl0_29
    | ~ spl0_79 ),
    inference(resolution,[],[f1056,f627]) ).

fof(f1056,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_21
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f365,f333]) ).

fof(f1049,plain,
    ( ~ spl0_18
    | spl0_158 ),
    inference(avatar_split_clause,[],[f8,f1046,f319]) ).

fof(f319,plain,
    ( spl0_18
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f8,plain,
    ( c0_1(a2402)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

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

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

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

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

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

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

fof(f1044,plain,
    ( ~ spl0_18
    | spl0_157 ),
    inference(avatar_split_clause,[],[f9,f1041,f319]) ).

fof(f9,plain,
    ( c3_1(a2402)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1039,plain,
    ( ~ spl0_18
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f10,f1036,f319]) ).

fof(f10,plain,
    ( ~ c1_1(a2402)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1033,plain,
    ( ~ spl0_33
    | spl0_155 ),
    inference(avatar_split_clause,[],[f12,f1030,f382]) ).

fof(f382,plain,
    ( spl0_33
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f12,plain,
    ( c1_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1028,plain,
    ( ~ spl0_33
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f13,f1025,f382]) ).

fof(f13,plain,
    ( ~ c2_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1023,plain,
    ( ~ spl0_33
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f14,f1020,f382]) ).

fof(f14,plain,
    ( ~ c3_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1017,plain,
    ( ~ spl0_35
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f16,f1014,f391]) ).

fof(f391,plain,
    ( spl0_35
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f16,plain,
    ( ~ c1_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1012,plain,
    ( ~ spl0_35
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f17,f1009,f391]) ).

fof(f17,plain,
    ( ~ c2_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1007,plain,
    ( ~ spl0_35
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f18,f1004,f391]) ).

fof(f18,plain,
    ( ~ c3_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_7
    | spl0_14 ),
    inference(avatar_split_clause,[],[f19,f303,f271]) ).

fof(f271,plain,
    ( spl0_7
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f303,plain,
    ( spl0_14
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

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

fof(f1001,plain,
    ( ~ spl0_7
    | spl0_149 ),
    inference(avatar_split_clause,[],[f20,f998,f271]) ).

fof(f20,plain,
    ( c0_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f996,plain,
    ( ~ spl0_7
    | spl0_148 ),
    inference(avatar_split_clause,[],[f21,f993,f271]) ).

fof(f21,plain,
    ( c2_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f991,plain,
    ( ~ spl0_7
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f22,f988,f271]) ).

fof(f22,plain,
    ( ~ c3_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f985,plain,
    ( ~ spl0_52
    | spl0_146 ),
    inference(avatar_split_clause,[],[f24,f982,f477]) ).

fof(f477,plain,
    ( spl0_52
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f24,plain,
    ( c0_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_52
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f26,f972,f477]) ).

fof(f26,plain,
    ( ~ c2_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f27,f303,f258]) ).

fof(f258,plain,
    ( spl0_4
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f969,plain,
    ( ~ spl0_4
    | spl0_143 ),
    inference(avatar_split_clause,[],[f28,f966,f258]) ).

fof(f28,plain,
    ( c0_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f964,plain,
    ( ~ spl0_4
    | spl0_142 ),
    inference(avatar_split_clause,[],[f29,f961,f258]) ).

fof(f29,plain,
    ( c3_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_4
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f30,f956,f258]) ).

fof(f30,plain,
    ( ~ c2_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( ~ spl0_27
    | spl0_140 ),
    inference(avatar_split_clause,[],[f32,f950,f355]) ).

fof(f355,plain,
    ( spl0_27
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f32,plain,
    ( c0_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_27
    | spl0_139 ),
    inference(avatar_split_clause,[],[f33,f945,f355]) ).

fof(f33,plain,
    ( c1_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_27
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f34,f940,f355]) ).

fof(f34,plain,
    ( ~ c2_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_1
    | spl0_134 ),
    inference(avatar_split_clause,[],[f40,f918,f245]) ).

fof(f245,plain,
    ( spl0_1
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f40,plain,
    ( c1_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_1
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f41,f913,f245]) ).

fof(f41,plain,
    ( ~ c0_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_1
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f42,f908,f245]) ).

fof(f42,plain,
    ( ~ c2_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_2
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f45,f897,f249]) ).

fof(f249,plain,
    ( spl0_2
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f45,plain,
    ( ~ c0_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_2
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f46,f892,f249]) ).

fof(f46,plain,
    ( ~ c1_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_30
    | spl0_128 ),
    inference(avatar_split_clause,[],[f48,f886,f368]) ).

fof(f368,plain,
    ( spl0_30
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f48,plain,
    ( c0_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_30
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f49,f881,f368]) ).

fof(f49,plain,
    ( ~ c1_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_30
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f50,f876,f368]) ).

fof(f50,plain,
    ( ~ c3_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_10
    | spl0_125 ),
    inference(avatar_split_clause,[],[f52,f870,f284]) ).

fof(f284,plain,
    ( spl0_10
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f52,plain,
    ( c3_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( ~ spl0_10
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f53,f865,f284]) ).

fof(f53,plain,
    ( ~ c1_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_10
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f54,f860,f284]) ).

fof(f54,plain,
    ( ~ c2_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_41
    | spl0_122 ),
    inference(avatar_split_clause,[],[f56,f854,f417]) ).

fof(f417,plain,
    ( spl0_41
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f56,plain,
    ( c3_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_41
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f57,f849,f417]) ).

fof(f57,plain,
    ( ~ c0_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_41
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f58,f844,f417]) ).

fof(f58,plain,
    ( ~ c1_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_55
    | spl0_119 ),
    inference(avatar_split_clause,[],[f60,f838,f491]) ).

fof(f491,plain,
    ( spl0_55
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f60,plain,
    ( c1_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_55
    | spl0_118 ),
    inference(avatar_split_clause,[],[f61,f833,f491]) ).

fof(f61,plain,
    ( c2_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_55
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f62,f828,f491]) ).

fof(f62,plain,
    ( ~ c0_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_22
    | spl0_116 ),
    inference(avatar_split_clause,[],[f64,f822,f335]) ).

fof(f335,plain,
    ( spl0_22
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f64,plain,
    ( c1_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_22
    | spl0_115 ),
    inference(avatar_split_clause,[],[f65,f817,f335]) ).

fof(f65,plain,
    ( c2_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_22
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f66,f812,f335]) ).

fof(f66,plain,
    ( ~ c3_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_16
    | spl0_113 ),
    inference(avatar_split_clause,[],[f68,f806,f310]) ).

fof(f310,plain,
    ( spl0_16
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f68,plain,
    ( c1_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( ~ spl0_16
    | spl0_112 ),
    inference(avatar_split_clause,[],[f69,f801,f310]) ).

fof(f69,plain,
    ( c3_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_16
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f70,f796,f310]) ).

fof(f70,plain,
    ( ~ c2_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_40
    | spl0_110 ),
    inference(avatar_split_clause,[],[f72,f790,f413]) ).

fof(f413,plain,
    ( spl0_40
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f72,plain,
    ( c0_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_40
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f73,f785,f413]) ).

fof(f73,plain,
    ( ~ c2_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_40
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f74,f780,f413]) ).

fof(f74,plain,
    ( ~ c3_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_49
    | spl0_107 ),
    inference(avatar_split_clause,[],[f76,f774,f462]) ).

fof(f462,plain,
    ( spl0_49
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f76,plain,
    ( c2_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_49
    | spl0_106 ),
    inference(avatar_split_clause,[],[f77,f769,f462]) ).

fof(f77,plain,
    ( c3_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_49
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f78,f764,f462]) ).

fof(f78,plain,
    ( ~ c1_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_8
    | spl0_14 ),
    inference(avatar_split_clause,[],[f79,f303,f275]) ).

fof(f275,plain,
    ( spl0_8
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f79,plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_8
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f80,f758,f275]) ).

fof(f80,plain,
    ( ~ c0_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_8
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f81,f753,f275]) ).

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

fof(f751,plain,
    ( ~ spl0_8
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f82,f748,f275]) ).

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

fof(f745,plain,
    ( ~ spl0_5
    | spl0_101 ),
    inference(avatar_split_clause,[],[f84,f742,f262]) ).

fof(f262,plain,
    ( spl0_5
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f84,plain,
    ( c1_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_5
    | spl0_100 ),
    inference(avatar_split_clause,[],[f85,f737,f262]) ).

fof(f85,plain,
    ( c3_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_5
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f86,f732,f262]) ).

fof(f86,plain,
    ( ~ c0_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_20
    | spl0_98 ),
    inference(avatar_split_clause,[],[f88,f726,f327]) ).

fof(f327,plain,
    ( spl0_20
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f88,plain,
    ( c3_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_20
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f89,f721,f327]) ).

fof(f89,plain,
    ( ~ c0_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_20
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f90,f716,f327]) ).

fof(f90,plain,
    ( ~ c2_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_17
    | spl0_95 ),
    inference(avatar_split_clause,[],[f92,f710,f315]) ).

fof(f315,plain,
    ( spl0_17
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f92,plain,
    ( c0_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_17
    | spl0_94 ),
    inference(avatar_split_clause,[],[f93,f705,f315]) ).

fof(f93,plain,
    ( c2_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_17
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f94,f700,f315]) ).

fof(f94,plain,
    ( ~ c1_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( ~ spl0_45
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f96,f694,f439]) ).

fof(f439,plain,
    ( spl0_45
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f96,plain,
    ( ~ c0_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_45
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f97,f689,f439]) ).

fof(f97,plain,
    ( ~ c1_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_45
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f98,f684,f439]) ).

fof(f98,plain,
    ( ~ c2_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_23
    | spl0_89 ),
    inference(avatar_split_clause,[],[f100,f678,f339]) ).

fof(f339,plain,
    ( spl0_23
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f100,plain,
    ( c2_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f676,plain,
    ( ~ spl0_23
    | spl0_88 ),
    inference(avatar_split_clause,[],[f101,f673,f339]) ).

fof(f101,plain,
    ( c3_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f671,plain,
    ( ~ spl0_23
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f102,f668,f339]) ).

fof(f102,plain,
    ( ~ c0_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f665,plain,
    ( ~ spl0_25
    | spl0_86 ),
    inference(avatar_split_clause,[],[f104,f662,f347]) ).

fof(f347,plain,
    ( spl0_25
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f104,plain,
    ( c1_1(a2468)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( ~ spl0_25
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f105,f657,f347]) ).

fof(f105,plain,
    ( ~ c0_1(a2468)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_6
    | spl0_83 ),
    inference(avatar_split_clause,[],[f108,f646,f266]) ).

fof(f266,plain,
    ( spl0_6
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f108,plain,
    ( c2_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f644,plain,
    ( ~ spl0_6
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f109,f641,f266]) ).

fof(f109,plain,
    ( ~ c0_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_6
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f110,f636,f266]) ).

fof(f110,plain,
    ( ~ c3_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_9
    | spl0_80 ),
    inference(avatar_split_clause,[],[f112,f630,f280]) ).

fof(f280,plain,
    ( spl0_9
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f112,plain,
    ( c0_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_9
    | spl0_79 ),
    inference(avatar_split_clause,[],[f113,f625,f280]) ).

fof(f113,plain,
    ( c1_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_9
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f114,f620,f280]) ).

fof(f114,plain,
    ( ~ c3_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_56
    | spl0_71 ),
    inference(avatar_split_clause,[],[f124,f582,f496]) ).

fof(f496,plain,
    ( spl0_56
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f124,plain,
    ( c0_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_56
    | spl0_70 ),
    inference(avatar_split_clause,[],[f125,f577,f496]) ).

fof(f125,plain,
    ( c2_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_56
    | spl0_69 ),
    inference(avatar_split_clause,[],[f126,f572,f496]) ).

fof(f126,plain,
    ( c3_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_11
    | spl0_68 ),
    inference(avatar_split_clause,[],[f128,f566,f289]) ).

fof(f289,plain,
    ( spl0_11
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f128,plain,
    ( c0_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_11
    | spl0_67 ),
    inference(avatar_split_clause,[],[f129,f561,f289]) ).

fof(f129,plain,
    ( c1_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( ~ spl0_11
    | spl0_66 ),
    inference(avatar_split_clause,[],[f130,f556,f289]) ).

fof(f130,plain,
    ( c3_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( spl0_62
    | ~ spl0_14
    | spl0_37
    | spl0_33 ),
    inference(avatar_split_clause,[],[f213,f382,f400,f303,f532]) ).

fof(f213,plain,
    ! [X106,X105] :
      ( hskp1
      | ~ c3_1(X105)
      | ~ c2_1(X105)
      | c1_1(X105)
      | ~ ndr1_0
      | c2_1(X106)
      | c1_1(X106)
      | c0_1(X106) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X106,X105] :
      ( hskp1
      | ~ c3_1(X105)
      | ~ c2_1(X105)
      | c1_1(X105)
      | ~ ndr1_0
      | c2_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f535,plain,
    ( spl0_62
    | spl0_36
    | ~ spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f214,f373,f303,f396,f532]) ).

fof(f214,plain,
    ! [X104,X102,X103] :
      ( ~ c3_1(X102)
      | ~ c1_1(X102)
      | c2_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c3_1(X103)
      | c2_1(X103)
      | c2_1(X104)
      | c1_1(X104)
      | c0_1(X104) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X104,X102,X103] :
      ( ~ c3_1(X102)
      | ~ c1_1(X102)
      | c2_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c3_1(X103)
      | c2_1(X103)
      | ~ ndr1_0
      | c2_1(X104)
      | c1_1(X104)
      | c0_1(X104)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( spl0_62
    | spl0_34
    | ~ spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f215,f373,f303,f387,f532]) ).

fof(f215,plain,
    ! [X101,X99,X100] :
      ( ~ c3_1(X99)
      | ~ c1_1(X99)
      | c2_1(X99)
      | ~ ndr1_0
      | ~ c1_1(X100)
      | c3_1(X100)
      | c2_1(X100)
      | c2_1(X101)
      | c1_1(X101)
      | c0_1(X101) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X101,X99,X100] :
      ( ~ c3_1(X99)
      | ~ c1_1(X99)
      | c2_1(X99)
      | ~ ndr1_0
      | ~ c1_1(X100)
      | c3_1(X100)
      | c2_1(X100)
      | ~ ndr1_0
      | c2_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( spl0_59
    | ~ spl0_14
    | spl0_48
    | spl0_52 ),
    inference(avatar_split_clause,[],[f217,f477,f457,f303,f516]) ).

fof(f217,plain,
    ! [X94,X95] :
      ( hskp4
      | ~ c3_1(X94)
      | ~ c1_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | ~ c2_1(X95)
      | c1_1(X95)
      | c0_1(X95) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X94,X95] :
      ( hskp4
      | ~ c3_1(X94)
      | ~ c1_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | ~ c2_1(X95)
      | c1_1(X95)
      | c0_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( spl0_59
    | ~ spl0_14
    | spl0_46
    | spl0_4 ),
    inference(avatar_split_clause,[],[f218,f258,f446,f303,f516]) ).

fof(f218,plain,
    ! [X92,X93] :
      ( hskp5
      | ~ c3_1(X92)
      | ~ c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c2_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X92,X93] :
      ( hskp5
      | ~ c3_1(X92)
      | ~ c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c2_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_59
    | ~ spl0_14
    | spl0_60
    | spl0_56 ),
    inference(avatar_split_clause,[],[f219,f496,f521,f303,f516]) ).

fof(f219,plain,
    ! [X90,X91] :
      ( hskp29
      | ~ c3_1(X90)
      | ~ c0_1(X90)
      | c1_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X90,X91] :
      ( hskp29
      | ~ c3_1(X90)
      | ~ c0_1(X90)
      | c1_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_58
    | spl0_57
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f220,f307,f303,f503,f509]) ).

fof(f220,plain,
    ! [X86,X87,X85] :
      ( ~ c3_1(X85)
      | ~ c2_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ c3_1(X87)
      | c1_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X86,X87,X85] :
      ( ~ c3_1(X85)
      | ~ c2_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X87)
      | c1_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_58
    | ~ spl0_14
    | spl0_37
    | spl0_30 ),
    inference(avatar_split_clause,[],[f221,f368,f400,f303,f509]) ).

fof(f221,plain,
    ! [X83,X84] :
      ( hskp10
      | ~ c3_1(X83)
      | ~ c2_1(X83)
      | c1_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c1_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X83,X84] :
      ( hskp10
      | ~ c3_1(X83)
      | ~ c2_1(X83)
      | c1_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c1_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( ~ spl0_14
    | spl0_58
    | spl0_27
    | spl0_10 ),
    inference(avatar_split_clause,[],[f149,f284,f355,f509,f303]) ).

fof(f149,plain,
    ! [X82] :
      ( hskp11
      | hskp6
      | ~ c3_1(X82)
      | c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_14
    | spl0_58
    | spl0_41 ),
    inference(avatar_split_clause,[],[f150,f417,f509,f303]) ).

fof(f150,plain,
    ! [X81] :
      ( hskp12
      | ~ c3_1(X81)
      | c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_57
    | spl0_50
    | ~ spl0_14
    | spl0_31 ),
    inference(avatar_split_clause,[],[f222,f373,f303,f469,f503]) ).

fof(f222,plain,
    ! [X80,X78,X79] :
      ( ~ c3_1(X78)
      | ~ c1_1(X78)
      | c2_1(X78)
      | ~ ndr1_0
      | ~ c2_1(X79)
      | ~ c1_1(X79)
      | c0_1(X79)
      | c3_1(X80)
      | c2_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X80,X78,X79] :
      ( ~ c3_1(X78)
      | ~ c1_1(X78)
      | c2_1(X78)
      | ~ ndr1_0
      | ~ c2_1(X79)
      | ~ c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | c3_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( ~ spl0_14
    | spl0_57
    | spl0_55
    | spl0_33 ),
    inference(avatar_split_clause,[],[f152,f382,f491,f503,f303]) ).

fof(f152,plain,
    ! [X77] :
      ( hskp1
      | hskp13
      | c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( ~ spl0_14
    | spl0_57
    | spl0_22
    | spl0_33 ),
    inference(avatar_split_clause,[],[f153,f382,f335,f503,f303]) ).

fof(f153,plain,
    ! [X76] :
      ( hskp1
      | hskp14
      | c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( spl0_54
    | spl0_44
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f223,f377,f303,f436,f487]) ).

fof(f223,plain,
    ! [X73,X74,X75] :
      ( ~ c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | c2_1(X74)
      | c1_1(X74)
      | ~ c1_1(X75)
      | c2_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X73,X74,X75] :
      ( ~ c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | c2_1(X74)
      | c1_1(X74)
      | ~ ndr1_0
      | ~ c1_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( spl0_54
    | ~ spl0_14
    | spl0_24
    | spl0_16 ),
    inference(avatar_split_clause,[],[f224,f310,f344,f303,f487]) ).

fof(f224,plain,
    ! [X72,X71] :
      ( hskp15
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c2_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X72,X71] :
      ( hskp15
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( ~ spl0_14
    | spl0_54
    | spl0_56
    | spl0_18 ),
    inference(avatar_split_clause,[],[f156,f319,f496,f487,f303]) ).

fof(f156,plain,
    ! [X70] :
      ( hskp0
      | hskp29
      | ~ c1_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( ~ spl0_14
    | spl0_54
    | spl0_40
    | spl0_55 ),
    inference(avatar_split_clause,[],[f157,f491,f413,f487,f303]) ).

fof(f157,plain,
    ! [X69] :
      ( hskp13
      | hskp16
      | ~ c1_1(X69)
      | c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_14
    | spl0_54
    | spl0_49
    | spl0_8 ),
    inference(avatar_split_clause,[],[f158,f275,f462,f487,f303]) ).

fof(f158,plain,
    ! [X68] :
      ( hskp18
      | hskp17
      | ~ c1_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_53
    | ~ spl0_14
    | spl0_28
    | spl0_35 ),
    inference(avatar_split_clause,[],[f225,f391,f360,f303,f482]) ).

fof(f225,plain,
    ! [X66,X67] :
      ( hskp2
      | ~ c2_1(X66)
      | ~ c0_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67)
      | c2_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X66,X67] :
      ( hskp2
      | ~ c2_1(X66)
      | ~ c0_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67)
      | c2_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_53
    | ~ spl0_14
    | spl0_21
    | spl0_41 ),
    inference(avatar_split_clause,[],[f226,f417,f332,f303,f482]) ).

fof(f226,plain,
    ! [X65,X64] :
      ( hskp12
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | c2_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X65,X64] :
      ( hskp12
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( spl0_51
    | ~ spl0_14
    | spl0_43
    | spl0_52 ),
    inference(avatar_split_clause,[],[f227,f477,f430,f303,f474]) ).

fof(f227,plain,
    ! [X62,X63] :
      ( hskp4
      | ~ c3_1(X62)
      | c2_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X62,X63] :
      ( hskp4
      | ~ c3_1(X62)
      | c2_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_50
    | ~ spl0_14
    | spl0_42
    | spl0_5 ),
    inference(avatar_split_clause,[],[f228,f262,f426,f303,f469]) ).

fof(f228,plain,
    ! [X60,X61] :
      ( hskp19
      | ~ c0_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X60,X61] :
      ( hskp19
      | ~ c0_1(X60)
      | c3_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( ~ spl0_14
    | spl0_50
    | spl0_41
    | spl0_10 ),
    inference(avatar_split_clause,[],[f163,f284,f417,f469,f303]) ).

fof(f163,plain,
    ! [X59] :
      ( hskp11
      | hskp12
      | ~ c2_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( spl0_48
    | ~ spl0_14
    | spl0_31
    | spl0_20 ),
    inference(avatar_split_clause,[],[f229,f327,f373,f303,f457]) ).

fof(f229,plain,
    ! [X58,X57] :
      ( hskp20
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X58,X57] :
      ( hskp20
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( ~ spl0_14
    | spl0_48
    | spl0_33
    | spl0_2 ),
    inference(avatar_split_clause,[],[f167,f249,f382,f457,f303]) ).

fof(f167,plain,
    ! [X53] :
      ( hskp9
      | hskp1
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( spl0_46
    | ~ spl0_14
    | spl0_37
    | spl0_35 ),
    inference(avatar_split_clause,[],[f231,f391,f400,f303,f446]) ).

fof(f231,plain,
    ! [X50,X51] :
      ( hskp2
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X50,X51] :
      ( hskp2
      | ~ c3_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(f454,plain,
    ( ~ spl0_14
    | spl0_46
    | spl0_27
    | spl0_17 ),
    inference(avatar_split_clause,[],[f170,f315,f355,f446,f303]) ).

fof(f170,plain,
    ! [X49] :
      ( hskp21
      | hskp6
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( ~ spl0_14
    | spl0_46
    | spl0_16 ),
    inference(avatar_split_clause,[],[f172,f310,f446,f303]) ).

fof(f172,plain,
    ! [X47] :
      ( hskp15
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_44
    | ~ spl0_14
    | spl0_42
    | spl0_30 ),
    inference(avatar_split_clause,[],[f232,f368,f426,f303,f436]) ).

fof(f232,plain,
    ! [X46,X45] :
      ( hskp10
      | ~ c0_1(X45)
      | c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X46,X45] :
      ( hskp10
      | ~ c0_1(X45)
      | c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( ~ spl0_14
    | spl0_44
    | spl0_11
    | spl0_17 ),
    inference(avatar_split_clause,[],[f174,f315,f289,f436,f303]) ).

fof(f174,plain,
    ! [X44] :
      ( hskp21
      | hskp30
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f442,plain,
    ( ~ spl0_14
    | spl0_44
    | spl0_4
    | spl0_45 ),
    inference(avatar_split_clause,[],[f175,f439,f258,f436,f303]) ).

fof(f175,plain,
    ! [X43] :
      ( hskp22
      | hskp5
      | ~ c0_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( spl0_43
    | ~ spl0_14
    | spl0_37
    | spl0_33 ),
    inference(avatar_split_clause,[],[f233,f382,f400,f303,f430]) ).

fof(f233,plain,
    ! [X41,X42] :
      ( hskp1
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X41,X42] :
      ( hskp1
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( spl0_43
    | ~ spl0_14
    | spl0_34
    | spl0_23 ),
    inference(avatar_split_clause,[],[f234,f339,f387,f303,f430]) ).

fof(f234,plain,
    ! [X40,X39] :
      ( hskp23
      | ~ c1_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X40,X39] :
      ( hskp23
      | ~ c1_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_14
    | spl0_43
    | spl0_30
    | spl0_40 ),
    inference(avatar_split_clause,[],[f178,f413,f368,f430,f303]) ).

fof(f178,plain,
    ! [X38] :
      ( hskp16
      | hskp10
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( spl0_42
    | spl0_29
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f235,f307,f303,f364,f426]) ).

fof(f235,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | c3_1(X36)
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f424,plain,
    ( spl0_39
    | ~ spl0_14
    | spl0_38
    | spl0_7 ),
    inference(avatar_split_clause,[],[f236,f271,f406,f303,f410]) ).

fof(f236,plain,
    ! [X34,X33] :
      ( hskp3
      | ~ c2_1(X33)
      | ~ c0_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c2_1(X34)
      | c3_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X34,X33] :
      ( hskp3
      | ~ c2_1(X33)
      | ~ c0_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c2_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_39
    | ~ spl0_14
    | spl0_32
    | spl0_35 ),
    inference(avatar_split_clause,[],[f237,f391,f377,f303,f410]) ).

fof(f237,plain,
    ! [X31,X32] :
      ( hskp2
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X31,X32] :
      ( hskp2
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_39
    | ~ spl0_14
    | spl0_29
    | spl0_22 ),
    inference(avatar_split_clause,[],[f238,f335,f364,f303,f410]) ).

fof(f238,plain,
    ! [X29,X30] :
      ( hskp14
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X29,X30] :
      ( hskp14
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( ~ spl0_14
    | spl0_39
    | spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f184,f417,f413,f410,f303]) ).

fof(f184,plain,
    ! [X27] :
      ( hskp12
      | hskp16
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_38
    | spl0_34
    | ~ spl0_14
    | spl0_19 ),
    inference(avatar_split_clause,[],[f239,f324,f303,f387,f406]) ).

fof(f239,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | c3_1(X25)
      | c2_1(X25)
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | c3_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( spl0_37
    | spl0_36
    | ~ spl0_14
    | spl0_21 ),
    inference(avatar_split_clause,[],[f240,f332,f303,f396,f400]) ).

fof(f240,plain,
    ! [X21,X22,X23] :
      ( ~ c3_1(X21)
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | ~ c0_1(X22)
      | c3_1(X22)
      | c2_1(X22)
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X21,X22,X23] :
      ( ~ c3_1(X21)
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | ~ c0_1(X22)
      | c3_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_14
    | spl0_37
    | spl0_17
    | spl0_10 ),
    inference(avatar_split_clause,[],[f187,f284,f315,f400,f303]) ).

fof(f187,plain,
    ! [X20] :
      ( hskp11
      | hskp21
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f402,plain,
    ( ~ spl0_14
    | spl0_37
    | spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f188,f347,f310,f400,f303]) ).

fof(f188,plain,
    ! [X19] :
      ( hskp24
      | hskp15
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( ~ spl0_14
    | spl0_34
    | spl0_11
    | spl0_35 ),
    inference(avatar_split_clause,[],[f190,f391,f289,f387,f303]) ).

fof(f190,plain,
    ! [X17] :
      ( hskp2
      | hskp30
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( ~ spl0_14
    | spl0_34
    | spl0_27
    | spl0_33 ),
    inference(avatar_split_clause,[],[f191,f382,f355,f387,f303]) ).

fof(f191,plain,
    ! [X16] :
      ( hskp1
      | hskp6
      | ~ c1_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f380,plain,
    ( ~ spl0_14
    | spl0_32
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f193,f266,f262,f377,f303]) ).

fof(f193,plain,
    ! [X14] :
      ( hskp25
      | hskp19
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( spl0_31
    | ~ spl0_14
    | spl0_29
    | spl0_11 ),
    inference(avatar_split_clause,[],[f241,f289,f364,f303,f373]) ).

fof(f241,plain,
    ! [X11,X12] :
      ( hskp30
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X11,X12] :
      ( hskp30
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( spl0_29
    | ~ spl0_14
    | spl0_15
    | spl0_30 ),
    inference(avatar_split_clause,[],[f242,f368,f307,f303,f364]) ).

fof(f242,plain,
    ! [X10,X9] :
      ( hskp10
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f196]) ).

fof(f196,plain,
    ! [X10,X9] :
      ( hskp10
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( ~ spl0_14
    | spl0_29
    | spl0_27
    | spl0_9 ),
    inference(avatar_split_clause,[],[f197,f280,f355,f364,f303]) ).

fof(f197,plain,
    ! [X8] :
      ( hskp26
      | hskp6
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( spl0_28
    | ~ spl0_14
    | spl0_24
    | spl0_20 ),
    inference(avatar_split_clause,[],[f243,f327,f344,f303,f360]) ).

fof(f243,plain,
    ! [X6,X7] :
      ( hskp20
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X6,X7] :
      ( hskp20
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f358,plain,
    ( ~ spl0_14
    | spl0_26
    | spl0_27
    | spl0_23 ),
    inference(avatar_split_clause,[],[f199,f339,f355,f352,f303]) ).

fof(f199,plain,
    ! [X5] :
      ( hskp23
      | hskp6
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f350,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_7
    | spl0_25 ),
    inference(avatar_split_clause,[],[f200,f347,f271,f344,f303]) ).

fof(f200,plain,
    ! [X4] :
      ( hskp24
      | hskp3
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f342,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f201,f339,f335,f332,f303]) ).

fof(f201,plain,
    ! [X3] :
      ( hskp23
      | hskp14
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f292,plain,
    ( spl0_11
    | spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f206,f262,f280,f289]) ).

fof(f206,plain,
    ( hskp19
    | hskp26
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f287,plain,
    ( spl0_9
    | spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f207,f284,f245,f280]) ).

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

fof(f278,plain,
    ( spl0_7
    | spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f208,f275,f258,f271]) ).

fof(f208,plain,
    ( hskp18
    | hskp5
    | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f269,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f209,f266,f262,f258]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN488+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:12:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (8073)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (8076)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)
% 0.14/0.38  % (8078)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (8075)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (8074)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (8079)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (8080)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)
% 0.14/0.38  % (8077)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [4]
% 0.14/0.41  TRYING [4]
% 0.14/0.42  TRYING [5]
% 0.14/0.42  TRYING [5]
% 0.21/0.43  TRYING [5]
% 0.21/0.43  TRYING [5]
% 0.21/0.43  % (8079)First to succeed.
% 0.21/0.45  % (8079)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8073"
% 0.21/0.45  % (8079)Refutation found. Thanks to Tanya!
% 0.21/0.45  % SZS status Theorem for theBenchmark
% 0.21/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46  % (8079)------------------------------
% 0.21/0.46  % (8079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.46  % (8079)Termination reason: Refutation
% 0.21/0.46  
% 0.21/0.46  % (8079)Memory used [KB]: 2258
% 0.21/0.46  % (8079)Time elapsed: 0.067 s
% 0.21/0.46  % (8079)Instructions burned: 115 (million)
% 0.21/0.46  % (8073)Success in time 0.08 s
%------------------------------------------------------------------------------