TSTP Solution File: SYN444+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN444+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 : n017.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 12:10:21 EDT 2024

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  142
% Syntax   : Number of formulae    :  773 (   1 unt;   0 def)
%            Number of atoms       : 6435 (   0 equ)
%            Maximal formula atoms :  614 (   8 avg)
%            Number of connectives : 8783 (3121   ~;4083   |;1050   &)
%                                         ( 141 <=>; 388  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   95 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  176 ( 175 usr; 172 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  810 ( 810   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3828,plain,
    $false,
    inference(avatar_sat_refutation,[],[f264,f273,f282,f294,f301,f309,f317,f326,f327,f328,f337,f345,f359,f363,f371,f379,f380,f384,f385,f389,f396,f404,f405,f412,f413,f417,f422,f423,f435,f436,f440,f445,f446,f455,f459,f460,f464,f465,f466,f467,f471,f472,f473,f479,f489,f494,f499,f504,f510,f515,f520,f526,f531,f536,f558,f563,f568,f574,f579,f606,f611,f622,f627,f632,f638,f643,f648,f654,f659,f664,f670,f675,f680,f691,f696,f702,f707,f712,f713,f723,f728,f734,f739,f744,f750,f755,f760,f766,f771,f776,f777,f782,f787,f792,f798,f803,f808,f814,f819,f824,f830,f835,f840,f841,f846,f851,f856,f862,f867,f872,f878,f883,f888,f894,f899,f904,f915,f920,f931,f936,f942,f947,f952,f957,f964,f977,f1041,f1097,f1254,f1276,f1291,f1329,f1367,f1384,f1428,f1429,f1502,f1574,f1600,f1603,f1666,f1698,f1701,f1723,f1738,f1742,f1759,f1821,f1868,f1873,f1898,f1931,f1934,f1937,f2171,f2177,f2200,f2202,f2219,f2249,f2289,f2466,f2472,f2494,f2533,f2543,f2632,f2780,f2796,f2826,f2843,f2849,f2855,f2957,f3012,f3026,f3076,f3145,f3147,f3151,f3161,f3162,f3352,f3363,f3406,f3445,f3447,f3449,f3456,f3540,f3562,f3647,f3671,f3683,f3769,f3797,f3819]) ).

fof(f3819,plain,
    ( ~ spl0_27
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3818]) ).

fof(f3818,plain,
    ( $false
    | ~ spl0_27
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3817,f946]) ).

fof(f946,plain,
    ( c3_1(a213)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f944,plain,
    ( spl0_147
  <=> c3_1(a213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3817,plain,
    ( ~ c3_1(a213)
    | ~ spl0_27
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3807,f941]) ).

fof(f941,plain,
    ( ~ c2_1(a213)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl0_146
  <=> c2_1(a213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3807,plain,
    ( c2_1(a213)
    | ~ c3_1(a213)
    | ~ spl0_27
    | ~ spl0_148 ),
    inference(resolution,[],[f331,f951]) ).

fof(f951,plain,
    ( c1_1(a213)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_148
  <=> c1_1(a213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f331,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl0_27
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c1_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f3797,plain,
    ( ~ spl0_64
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f3784,f496,f311,f299,f501]) ).

fof(f501,plain,
    ( spl0_64
  <=> c0_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f299,plain,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f311,plain,
    ( spl0_23
  <=> ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f496,plain,
    ( spl0_63
  <=> c1_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f3784,plain,
    ( ~ c0_1(a246)
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_63 ),
    inference(resolution,[],[f3773,f498]) ).

fof(f498,plain,
    ( c1_1(a246)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f3773,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c0_1(X4) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f312,f300]) ).

fof(f300,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f312,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f3769,plain,
    ( ~ spl0_168
    | ~ spl0_20
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f3754,f661,f656,f299,f3158]) ).

fof(f3158,plain,
    ( spl0_168
  <=> c1_1(a247) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f656,plain,
    ( spl0_93
  <=> c3_1(a247) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f661,plain,
    ( spl0_94
  <=> c0_1(a247) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3754,plain,
    ( ~ c1_1(a247)
    | ~ spl0_20
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f3735,f663]) ).

fof(f663,plain,
    ( c0_1(a247)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f3735,plain,
    ( ~ c0_1(a247)
    | ~ c1_1(a247)
    | ~ spl0_20
    | ~ spl0_93 ),
    inference(resolution,[],[f300,f658]) ).

fof(f658,plain,
    ( c3_1(a247)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f3683,plain,
    ( spl0_167
    | ~ spl0_45
    | ~ spl0_51
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f3680,f688,f433,f407,f2776]) ).

fof(f2776,plain,
    ( spl0_167
  <=> c0_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f407,plain,
    ( spl0_45
  <=> ! [X35] :
        ( ~ c3_1(X35)
        | c0_1(X35)
        | ~ c2_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f433,plain,
    ( spl0_51
  <=> ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48)
        | c3_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f688,plain,
    ( spl0_99
  <=> c2_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3680,plain,
    ( c0_1(a239)
    | ~ spl0_45
    | ~ spl0_51
    | ~ spl0_99 ),
    inference(resolution,[],[f3648,f690]) ).

fof(f690,plain,
    ( c2_1(a239)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f3648,plain,
    ( ! [X35] :
        ( ~ c2_1(X35)
        | c0_1(X35) )
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f408,f434]) ).

fof(f434,plain,
    ( ! [X48] :
        ( c0_1(X48)
        | ~ c2_1(X48)
        | c3_1(X48) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f408,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c0_1(X35)
        | ~ c2_1(X35) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f3671,plain,
    ( ~ spl0_21
    | ~ spl0_51
    | spl0_110
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3670]) ).

fof(f3670,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_51
    | spl0_110
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f3664,f749]) ).

fof(f749,plain,
    ( ~ c3_1(a235)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f747,plain,
    ( spl0_110
  <=> c3_1(a235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3664,plain,
    ( c3_1(a235)
    | ~ spl0_21
    | ~ spl0_51
    | ~ spl0_161 ),
    inference(resolution,[],[f3578,f1999]) ).

fof(f1999,plain,
    ( c2_1(a235)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1997]) ).

fof(f1997,plain,
    ( spl0_161
  <=> c2_1(a235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3578,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3) )
    | ~ spl0_21
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f304,f434]) ).

fof(f304,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl0_21
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f3647,plain,
    ( ~ spl0_37
    | ~ spl0_41
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f3646]) ).

fof(f3646,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_41
    | spl0_125
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f3634,f829]) ).

fof(f829,plain,
    ( ~ c1_1(a224)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f827,plain,
    ( spl0_125
  <=> c1_1(a224) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3634,plain,
    ( c1_1(a224)
    | ~ spl0_37
    | ~ spl0_41
    | ~ spl0_127 ),
    inference(resolution,[],[f3576,f839]) ).

fof(f839,plain,
    ( c0_1(a224)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl0_127
  <=> c0_1(a224) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3576,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c1_1(X20) )
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f374,f392]) ).

fof(f392,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29)
        | c2_1(X29) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f391,plain,
    ( spl0_41
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29)
        | c2_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f374,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c1_1(X20)
        | ~ c2_1(X20) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl0_37
  <=> ! [X20] :
        ( ~ c2_1(X20)
        | c1_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3562,plain,
    ( ~ spl0_41
    | ~ spl0_61
    | spl0_108
    | spl0_109 ),
    inference(avatar_contradiction_clause,[],[f3561]) ).

fof(f3561,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_61
    | spl0_108
    | spl0_109 ),
    inference(subsumption_resolution,[],[f3550,f743]) ).

fof(f743,plain,
    ( ~ c1_1(a236)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl0_109
  <=> c1_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3550,plain,
    ( c1_1(a236)
    | ~ spl0_41
    | ~ spl0_61
    | spl0_108 ),
    inference(resolution,[],[f3543,f738]) ).

fof(f738,plain,
    ( ~ c2_1(a236)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f736,plain,
    ( spl0_108
  <=> c2_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3543,plain,
    ( ! [X96] :
        ( c2_1(X96)
        | c1_1(X96) )
    | ~ spl0_41
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f488,f392]) ).

fof(f488,plain,
    ( ! [X96] :
        ( c2_1(X96)
        | c0_1(X96)
        | c1_1(X96) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f487,plain,
    ( spl0_61
  <=> ! [X96] :
        ( c2_1(X96)
        | c0_1(X96)
        | c1_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3540,plain,
    ( ~ spl0_59
    | ~ spl0_61
    | spl0_96
    | spl0_97 ),
    inference(avatar_contradiction_clause,[],[f3539]) ).

fof(f3539,plain,
    ( $false
    | ~ spl0_59
    | ~ spl0_61
    | spl0_96
    | spl0_97 ),
    inference(subsumption_resolution,[],[f3532,f674]) ).

fof(f674,plain,
    ( ~ c1_1(a243)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl0_96
  <=> c1_1(a243) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3532,plain,
    ( c1_1(a243)
    | ~ spl0_59
    | ~ spl0_61
    | spl0_97 ),
    inference(resolution,[],[f3525,f679]) ).

fof(f679,plain,
    ( ~ c0_1(a243)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl0_97
  <=> c0_1(a243) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3525,plain,
    ( ! [X96] :
        ( c0_1(X96)
        | c1_1(X96) )
    | ~ spl0_59
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f488,f477]) ).

fof(f477,plain,
    ( ! [X85] :
        ( c0_1(X85)
        | ~ c2_1(X85)
        | c1_1(X85) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_59
  <=> ! [X85] :
        ( ~ c2_1(X85)
        | c0_1(X85)
        | c1_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3456,plain,
    ( ~ spl0_19
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3455]) ).

fof(f3455,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3454,f514]) ).

fof(f514,plain,
    ( c2_1(a232)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl0_66
  <=> c2_1(a232) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3454,plain,
    ( ~ c2_1(a232)
    | ~ spl0_19
    | ~ spl0_67
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3430,f519]) ).

fof(f519,plain,
    ( c0_1(a232)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl0_67
  <=> c0_1(a232) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3430,plain,
    ( ~ c0_1(a232)
    | ~ c2_1(a232)
    | ~ spl0_19
    | ~ spl0_149 ),
    inference(resolution,[],[f297,f962]) ).

fof(f962,plain,
    ( c1_1(a232)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl0_149
  <=> c1_1(a232) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f297,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl0_19
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f3449,plain,
    ( ~ spl0_152
    | ~ spl0_19
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f3448,f629,f624,f296,f1160]) ).

fof(f1160,plain,
    ( spl0_152
  <=> c2_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f624,plain,
    ( spl0_87
  <=> c1_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f629,plain,
    ( spl0_88
  <=> c0_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3448,plain,
    ( ~ c2_1(a259)
    | ~ spl0_19
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f3424,f631]) ).

fof(f631,plain,
    ( c0_1(a259)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f3424,plain,
    ( ~ c0_1(a259)
    | ~ c2_1(a259)
    | ~ spl0_19
    | ~ spl0_87 ),
    inference(resolution,[],[f297,f626]) ).

fof(f626,plain,
    ( c1_1(a259)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f3447,plain,
    ( ~ spl0_167
    | ~ spl0_19
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3446,f693,f688,f296,f2776]) ).

fof(f693,plain,
    ( spl0_100
  <=> c1_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f3446,plain,
    ( ~ c0_1(a239)
    | ~ spl0_19
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f3421,f690]) ).

fof(f3421,plain,
    ( ~ c0_1(a239)
    | ~ c2_1(a239)
    | ~ spl0_19
    | ~ spl0_100 ),
    inference(resolution,[],[f297,f695]) ).

fof(f695,plain,
    ( c1_1(a239)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f3445,plain,
    ( ~ spl0_19
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f3444]) ).

fof(f3444,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3443,f706]) ).

fof(f706,plain,
    ( c2_1(a238)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f704,plain,
    ( spl0_102
  <=> c2_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3443,plain,
    ( ~ c2_1(a238)
    | ~ spl0_19
    | ~ spl0_103
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3420,f711]) ).

fof(f711,plain,
    ( c0_1(a238)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f709,plain,
    ( spl0_103
  <=> c0_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3420,plain,
    ( ~ c0_1(a238)
    | ~ c2_1(a238)
    | ~ spl0_19
    | ~ spl0_156 ),
    inference(resolution,[],[f297,f1403]) ).

fof(f1403,plain,
    ( c1_1(a238)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1401]) ).

fof(f1401,plain,
    ( spl0_156
  <=> c1_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3406,plain,
    ( spl0_40
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f3342,f469,f391,f387]) ).

fof(f387,plain,
    ( spl0_40
  <=> ! [X27] :
        ( ~ c3_1(X27)
        | c1_1(X27)
        | c2_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f469,plain,
    ( spl0_58
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c1_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3342,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f3330]) ).

fof(f3330,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_58 ),
    inference(resolution,[],[f470,f392]) ).

fof(f470,plain,
    ( ! [X77] :
        ( c0_1(X77)
        | ~ c3_1(X77)
        | c1_1(X77) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f3363,plain,
    ( spl0_86
    | spl0_152
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2839,f629,f357,f1160,f619]) ).

fof(f619,plain,
    ( spl0_86
  <=> c3_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f357,plain,
    ( spl0_33
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2839,plain,
    ( c2_1(a259)
    | c3_1(a259)
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(resolution,[],[f358,f631]) ).

fof(f358,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f3352,plain,
    ( ~ spl0_58
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3351]) ).

fof(f3351,plain,
    ( $false
    | ~ spl0_58
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3350,f877]) ).

fof(f877,plain,
    ( ~ c1_1(a218)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f875,plain,
    ( spl0_134
  <=> c1_1(a218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f3350,plain,
    ( c1_1(a218)
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3334,f887]) ).

fof(f887,plain,
    ( c3_1(a218)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f885,plain,
    ( spl0_136
  <=> c3_1(a218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3334,plain,
    ( ~ c3_1(a218)
    | c1_1(a218)
    | ~ spl0_58
    | spl0_135 ),
    inference(resolution,[],[f470,f882]) ).

fof(f882,plain,
    ( ~ c0_1(a218)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_135
  <=> c0_1(a218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3162,plain,
    ( spl0_131
    | spl0_163
    | ~ spl0_39
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3050,f869,f382,f2143,f859]) ).

fof(f859,plain,
    ( spl0_131
  <=> c3_1(a220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2143,plain,
    ( spl0_163
  <=> c1_1(a220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f382,plain,
    ( spl0_39
  <=> ! [X23] :
        ( ~ c2_1(X23)
        | c1_1(X23)
        | c3_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f869,plain,
    ( spl0_133
  <=> c2_1(a220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f3050,plain,
    ( c1_1(a220)
    | c3_1(a220)
    | ~ spl0_39
    | ~ spl0_133 ),
    inference(resolution,[],[f871,f383]) ).

fof(f383,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | c1_1(X23)
        | c3_1(X23) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f871,plain,
    ( c2_1(a220)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f3161,plain,
    ( spl0_92
    | spl0_168
    | ~ spl0_41
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2872,f661,f391,f3158,f651]) ).

fof(f651,plain,
    ( spl0_92
  <=> c2_1(a247) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2872,plain,
    ( c1_1(a247)
    | c2_1(a247)
    | ~ spl0_41
    | ~ spl0_94 ),
    inference(resolution,[],[f392,f663]) ).

fof(f3151,plain,
    ( ~ spl0_47
    | ~ spl0_58
    | spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3150]) ).

fof(f3150,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_58
    | spl0_116
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f3137,f786]) ).

fof(f786,plain,
    ( c3_1(a229)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f784,plain,
    ( spl0_117
  <=> c3_1(a229) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3137,plain,
    ( ~ c3_1(a229)
    | ~ spl0_47
    | ~ spl0_58
    | spl0_116 ),
    inference(resolution,[],[f3129,f781]) ).

fof(f781,plain,
    ( ~ c0_1(a229)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f779,plain,
    ( spl0_116
  <=> c0_1(a229) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3129,plain,
    ( ! [X77] :
        ( c0_1(X77)
        | ~ c3_1(X77) )
    | ~ spl0_47
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f470,f416]) ).

fof(f416,plain,
    ( ! [X39] :
        ( ~ c1_1(X39)
        | c0_1(X39)
        | ~ c3_1(X39) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_47
  <=> ! [X39] :
        ( ~ c3_1(X39)
        | c0_1(X39)
        | ~ c1_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f3147,plain,
    ( ~ spl0_47
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3146]) ).

fof(f3146,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3135,f887]) ).

fof(f3135,plain,
    ( ~ c3_1(a218)
    | ~ spl0_47
    | ~ spl0_58
    | spl0_135 ),
    inference(resolution,[],[f3129,f882]) ).

fof(f3145,plain,
    ( ~ spl0_47
    | ~ spl0_58
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3144]) ).

fof(f3144,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_58
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3134,f903]) ).

fof(f903,plain,
    ( c3_1(a216)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f901,plain,
    ( spl0_139
  <=> c3_1(a216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3134,plain,
    ( ~ c3_1(a216)
    | ~ spl0_47
    | ~ spl0_58
    | spl0_138 ),
    inference(resolution,[],[f3129,f898]) ).

fof(f898,plain,
    ( ~ c0_1(a216)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f896,plain,
    ( spl0_138
  <=> c0_1(a216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3076,plain,
    ( ~ spl0_27
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f3075]) ).

fof(f3075,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f3065,f647]) ).

fof(f647,plain,
    ( c1_1(a252)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl0_91
  <=> c1_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3065,plain,
    ( ~ c1_1(a252)
    | ~ spl0_27
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90 ),
    inference(resolution,[],[f3030,f642]) ).

fof(f642,plain,
    ( ~ c2_1(a252)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl0_90
  <=> c2_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3030,plain,
    ( ! [X9] :
        ( c2_1(X9)
        | ~ c1_1(X9) )
    | ~ spl0_27
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f331,f2983]) ).

fof(f2983,plain,
    ( ! [X64] :
        ( c2_1(X64)
        | c3_1(X64) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f458,f358]) ).

fof(f458,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | c0_1(X64)
        | c2_1(X64) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f457,plain,
    ( spl0_56
  <=> ! [X64] :
        ( c3_1(X64)
        | c0_1(X64)
        | c2_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3026,plain,
    ( spl0_107
    | ~ spl0_33
    | ~ spl0_56
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2994,f736,f457,f357,f731]) ).

fof(f731,plain,
    ( spl0_107
  <=> c3_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2994,plain,
    ( c3_1(a236)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_108 ),
    inference(resolution,[],[f2983,f738]) ).

fof(f3012,plain,
    ( ~ spl0_33
    | ~ spl0_56
    | spl0_110
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3011]) ).

fof(f3011,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_56
    | spl0_110
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2993,f749]) ).

fof(f2993,plain,
    ( c3_1(a235)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_161 ),
    inference(resolution,[],[f2983,f1998]) ).

fof(f1998,plain,
    ( ~ c2_1(a235)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1997]) ).

fof(f2957,plain,
    ( ~ spl0_163
    | ~ spl0_52
    | spl0_131
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2956,f864,f859,f438,f2143]) ).

fof(f438,plain,
    ( spl0_52
  <=> ! [X53] :
        ( ~ c1_1(X53)
        | c0_1(X53)
        | c3_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f864,plain,
    ( spl0_132
  <=> c0_1(a220) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2956,plain,
    ( ~ c1_1(a220)
    | ~ spl0_52
    | spl0_131
    | spl0_132 ),
    inference(subsumption_resolution,[],[f2937,f861]) ).

fof(f861,plain,
    ( ~ c3_1(a220)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f2937,plain,
    ( ~ c1_1(a220)
    | c3_1(a220)
    | ~ spl0_52
    | spl0_132 ),
    inference(resolution,[],[f439,f866]) ).

fof(f866,plain,
    ( ~ c0_1(a220)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f439,plain,
    ( ! [X53] :
        ( c0_1(X53)
        | ~ c1_1(X53)
        | c3_1(X53) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f2855,plain,
    ( spl0_75
    | ~ spl0_39
    | spl0_74
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2854,f1155,f555,f382,f560]) ).

fof(f560,plain,
    ( spl0_75
  <=> c1_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f555,plain,
    ( spl0_74
  <=> c3_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1155,plain,
    ( spl0_151
  <=> c2_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2854,plain,
    ( c1_1(a282)
    | ~ spl0_39
    | spl0_74
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2850,f557]) ).

fof(f557,plain,
    ( ~ c3_1(a282)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f2850,plain,
    ( c1_1(a282)
    | c3_1(a282)
    | ~ spl0_39
    | ~ spl0_151 ),
    inference(resolution,[],[f1157,f383]) ).

fof(f1157,plain,
    ( c2_1(a282)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f2849,plain,
    ( spl0_151
    | ~ spl0_33
    | spl0_74
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2848,f565,f555,f357,f1155]) ).

fof(f565,plain,
    ( spl0_76
  <=> c0_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2848,plain,
    ( c2_1(a282)
    | ~ spl0_33
    | spl0_74
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2840,f557]) ).

fof(f2840,plain,
    ( c2_1(a282)
    | c3_1(a282)
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(resolution,[],[f358,f567]) ).

fof(f567,plain,
    ( c0_1(a282)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f2843,plain,
    ( spl0_154
    | ~ spl0_33
    | spl0_128
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2842,f853,f843,f357,f1313]) ).

fof(f1313,plain,
    ( spl0_154
  <=> c3_1(a221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f843,plain,
    ( spl0_128
  <=> c2_1(a221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f853,plain,
    ( spl0_130
  <=> c0_1(a221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2842,plain,
    ( c3_1(a221)
    | ~ spl0_33
    | spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2834,f845]) ).

fof(f845,plain,
    ( ~ c2_1(a221)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f2834,plain,
    ( c2_1(a221)
    | c3_1(a221)
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(resolution,[],[f358,f855]) ).

fof(f855,plain,
    ( c0_1(a221)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f2826,plain,
    ( ~ spl0_34
    | ~ spl0_40
    | spl0_125
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f2825]) ).

fof(f2825,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_40
    | spl0_125
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2814,f829]) ).

fof(f2814,plain,
    ( c1_1(a224)
    | ~ spl0_34
    | ~ spl0_40
    | ~ spl0_126 ),
    inference(resolution,[],[f2789,f834]) ).

fof(f834,plain,
    ( c3_1(a224)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_126
  <=> c3_1(a224) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2789,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17) )
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f362,f388]) ).

fof(f388,plain,
    ( ! [X27] :
        ( ~ c3_1(X27)
        | c1_1(X27)
        | c2_1(X27) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f362,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f361,plain,
    ( spl0_34
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2796,plain,
    ( ~ spl0_118
    | ~ spl0_153
    | ~ spl0_17
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2029,f784,f288,f1180,f789]) ).

fof(f789,plain,
    ( spl0_118
  <=> c2_1(a229) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1180,plain,
    ( spl0_153
  <=> c1_1(a229) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f288,plain,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2029,plain,
    ( ~ c1_1(a229)
    | ~ c2_1(a229)
    | ~ spl0_17
    | ~ spl0_117 ),
    inference(resolution,[],[f289,f786]) ).

fof(f289,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f2780,plain,
    ( spl0_101
    | spl0_156
    | ~ spl0_39
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2639,f704,f382,f1401,f699]) ).

fof(f699,plain,
    ( spl0_101
  <=> c3_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2639,plain,
    ( c1_1(a238)
    | c3_1(a238)
    | ~ spl0_39
    | ~ spl0_102 ),
    inference(resolution,[],[f383,f706]) ).

fof(f2632,plain,
    ( ~ spl0_105
    | ~ spl0_19
    | ~ spl0_37
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2625,f725,f373,f296,f720]) ).

fof(f720,plain,
    ( spl0_105
  <=> c2_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f725,plain,
    ( spl0_106
  <=> c0_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2625,plain,
    ( ~ c2_1(a237)
    | ~ spl0_19
    | ~ spl0_37
    | ~ spl0_106 ),
    inference(resolution,[],[f2620,f727]) ).

fof(f727,plain,
    ( c0_1(a237)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f2620,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | ~ c2_1(X20) )
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f374,f297]) ).

fof(f2543,plain,
    ( ~ spl0_67
    | ~ spl0_35
    | ~ spl0_65
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2540,f961,f507,f365,f517]) ).

fof(f365,plain,
    ( spl0_35
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f507,plain,
    ( spl0_65
  <=> c3_1(a232) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2540,plain,
    ( ~ c0_1(a232)
    | ~ spl0_35
    | ~ spl0_65
    | spl0_149 ),
    inference(subsumption_resolution,[],[f2530,f963]) ).

fof(f963,plain,
    ( ~ c1_1(a232)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f2530,plain,
    ( c1_1(a232)
    | ~ c0_1(a232)
    | ~ spl0_35
    | ~ spl0_65 ),
    inference(resolution,[],[f366,f509]) ).

fof(f509,plain,
    ( c3_1(a232)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f366,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f2533,plain,
    ( ~ spl0_35
    | spl0_125
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2532]) ).

fof(f2532,plain,
    ( $false
    | ~ spl0_35
    | spl0_125
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2531,f839]) ).

fof(f2531,plain,
    ( ~ c0_1(a224)
    | ~ spl0_35
    | spl0_125
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2524,f829]) ).

fof(f2524,plain,
    ( c1_1(a224)
    | ~ c0_1(a224)
    | ~ spl0_35
    | ~ spl0_126 ),
    inference(resolution,[],[f366,f834]) ).

fof(f2494,plain,
    ( spl0_128
    | ~ spl0_29
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2493,f853,f848,f339,f843]) ).

fof(f339,plain,
    ( spl0_29
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f848,plain,
    ( spl0_129
  <=> c1_1(a221) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2493,plain,
    ( c2_1(a221)
    | ~ spl0_29
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2481,f855]) ).

fof(f2481,plain,
    ( c2_1(a221)
    | ~ c0_1(a221)
    | ~ spl0_29
    | ~ spl0_129 ),
    inference(resolution,[],[f340,f850]) ).

fof(f850,plain,
    ( c1_1(a221)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f340,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f2472,plain,
    ( ~ spl0_69
    | ~ spl0_70
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2035,f523,f288,f533,f528]) ).

fof(f528,plain,
    ( spl0_69
  <=> c2_1(a223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f533,plain,
    ( spl0_70
  <=> c1_1(a223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f523,plain,
    ( spl0_68
  <=> c3_1(a223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2035,plain,
    ( ~ c1_1(a223)
    | ~ c2_1(a223)
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(resolution,[],[f289,f525]) ).

fof(f525,plain,
    ( c3_1(a223)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f2466,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_54
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2451]) ).

fof(f2451,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_54
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(resolution,[],[f2450,f951]) ).

fof(f2450,plain,
    ( ! [X11] : ~ c1_1(X11)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_54
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f2416,f2405]) ).

fof(f2405,plain,
    ( ! [X62] :
        ( c0_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_17
    | ~ spl0_54
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f449,f2178]) ).

fof(f2178,plain,
    ( ! [X67] :
        ( ~ c2_1(X67)
        | ~ c1_1(X67) )
    | ~ spl0_17
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f463,f289]) ).

fof(f463,plain,
    ( ! [X67] :
        ( ~ c2_1(X67)
        | c3_1(X67)
        | ~ c1_1(X67) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_57
  <=> ! [X67] :
        ( ~ c2_1(X67)
        | c3_1(X67)
        | ~ c1_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f449,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | c2_1(X62) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl0_54
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | c2_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2416,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f340,f2178]) ).

fof(f2289,plain,
    ( ~ spl0_40
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2288]) ).

fof(f2288,plain,
    ( $false
    | ~ spl0_40
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f2287,f797]) ).

fof(f797,plain,
    ( ~ c2_1(a228)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_119
  <=> c2_1(a228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2287,plain,
    ( c2_1(a228)
    | ~ spl0_40
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f2271,f802]) ).

fof(f802,plain,
    ( ~ c1_1(a228)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl0_120
  <=> c1_1(a228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2271,plain,
    ( c1_1(a228)
    | c2_1(a228)
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(resolution,[],[f388,f807]) ).

fof(f807,plain,
    ( c3_1(a228)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_121
  <=> c3_1(a228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2249,plain,
    ( ~ spl0_20
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2248]) ).

fof(f2248,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2247,f850]) ).

fof(f2247,plain,
    ( ~ c1_1(a221)
    | ~ spl0_20
    | ~ spl0_130
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2245,f855]) ).

fof(f2245,plain,
    ( ~ c0_1(a221)
    | ~ c1_1(a221)
    | ~ spl0_20
    | ~ spl0_154 ),
    inference(resolution,[],[f1315,f300]) ).

fof(f1315,plain,
    ( c3_1(a221)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f2219,plain,
    ( spl0_101
    | ~ spl0_17
    | ~ spl0_39
    | ~ spl0_57
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2211,f704,f462,f382,f288,f699]) ).

fof(f2211,plain,
    ( c3_1(a238)
    | ~ spl0_17
    | ~ spl0_39
    | ~ spl0_57
    | ~ spl0_102 ),
    inference(resolution,[],[f2204,f706]) ).

fof(f2204,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | c3_1(X23) )
    | ~ spl0_17
    | ~ spl0_39
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f383,f2178]) ).

fof(f2202,plain,
    ( ~ spl0_17
    | ~ spl0_57
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(avatar_contradiction_clause,[],[f2201]) ).

fof(f2201,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_57
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(subsumption_resolution,[],[f2198,f498]) ).

fof(f2198,plain,
    ( ~ c1_1(a246)
    | ~ spl0_17
    | ~ spl0_57
    | ~ spl0_62 ),
    inference(resolution,[],[f2178,f493]) ).

fof(f493,plain,
    ( c2_1(a246)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl0_62
  <=> c2_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2200,plain,
    ( ~ spl0_17
    | ~ spl0_57
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2199]) ).

fof(f2199,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_57
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2191,f935]) ).

fof(f935,plain,
    ( c1_1(a214)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f933,plain,
    ( spl0_145
  <=> c1_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2191,plain,
    ( ~ c1_1(a214)
    | ~ spl0_17
    | ~ spl0_57
    | ~ spl0_144 ),
    inference(resolution,[],[f2178,f930]) ).

fof(f930,plain,
    ( c2_1(a214)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl0_144
  <=> c2_1(a214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2177,plain,
    ( ~ spl0_20
    | ~ spl0_35
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2176]) ).

fof(f2176,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2161,f663]) ).

fof(f2161,plain,
    ( ~ c0_1(a247)
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_93 ),
    inference(resolution,[],[f2152,f658]) ).

fof(f2152,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f366,f300]) ).

fof(f2171,plain,
    ( ~ spl0_20
    | ~ spl0_35
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2170]) ).

fof(f2170,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2157,f839]) ).

fof(f2157,plain,
    ( ~ c0_1(a224)
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_126 ),
    inference(resolution,[],[f2152,f834]) ).

fof(f1937,plain,
    ( ~ spl0_34
    | ~ spl0_65
    | ~ spl0_66
    | spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1936]) ).

fof(f1936,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_65
    | ~ spl0_66
    | spl0_149 ),
    inference(subsumption_resolution,[],[f1935,f514]) ).

fof(f1935,plain,
    ( ~ c2_1(a232)
    | ~ spl0_34
    | ~ spl0_65
    | spl0_149 ),
    inference(subsumption_resolution,[],[f1928,f963]) ).

fof(f1928,plain,
    ( c1_1(a232)
    | ~ c2_1(a232)
    | ~ spl0_34
    | ~ spl0_65 ),
    inference(resolution,[],[f362,f509]) ).

fof(f1934,plain,
    ( ~ spl0_34
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f1933]) ).

fof(f1933,plain,
    ( $false
    | ~ spl0_34
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1932,f775]) ).

fof(f775,plain,
    ( c2_1(a230)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f773,plain,
    ( spl0_115
  <=> c2_1(a230) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1932,plain,
    ( ~ c2_1(a230)
    | ~ spl0_34
    | spl0_113
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f1924,f765]) ).

fof(f765,plain,
    ( ~ c1_1(a230)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f763,plain,
    ( spl0_113
  <=> c1_1(a230) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1924,plain,
    ( c1_1(a230)
    | ~ c2_1(a230)
    | ~ spl0_34
    | ~ spl0_114 ),
    inference(resolution,[],[f362,f770]) ).

fof(f770,plain,
    ( c3_1(a230)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f768,plain,
    ( spl0_114
  <=> c3_1(a230) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1931,plain,
    ( ~ spl0_118
    | ~ spl0_34
    | ~ spl0_117
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1930,f1180,f784,f361,f789]) ).

fof(f1930,plain,
    ( ~ c2_1(a229)
    | ~ spl0_34
    | ~ spl0_117
    | spl0_153 ),
    inference(subsumption_resolution,[],[f1923,f1182]) ).

fof(f1182,plain,
    ( ~ c1_1(a229)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1180]) ).

fof(f1923,plain,
    ( c1_1(a229)
    | ~ c2_1(a229)
    | ~ spl0_34
    | ~ spl0_117 ),
    inference(resolution,[],[f362,f786]) ).

fof(f1898,plain,
    ( ~ spl0_103
    | ~ spl0_23
    | spl0_101
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1897,f1401,f699,f311,f709]) ).

fof(f1897,plain,
    ( ~ c0_1(a238)
    | ~ spl0_23
    | spl0_101
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1850,f701]) ).

fof(f701,plain,
    ( ~ c3_1(a238)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f1850,plain,
    ( c3_1(a238)
    | ~ c0_1(a238)
    | ~ spl0_23
    | ~ spl0_156 ),
    inference(resolution,[],[f312,f1403]) ).

fof(f1873,plain,
    ( ~ spl0_130
    | ~ spl0_23
    | ~ spl0_129
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1858,f1313,f848,f311,f853]) ).

fof(f1858,plain,
    ( ~ c0_1(a221)
    | ~ spl0_23
    | ~ spl0_129
    | spl0_154 ),
    inference(subsumption_resolution,[],[f1848,f1314]) ).

fof(f1314,plain,
    ( ~ c3_1(a221)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1848,plain,
    ( c3_1(a221)
    | ~ c0_1(a221)
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(resolution,[],[f312,f850]) ).

fof(f1868,plain,
    ( ~ spl0_23
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f1867]) ).

fof(f1867,plain,
    ( $false
    | ~ spl0_23
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f1866,f631]) ).

fof(f1866,plain,
    ( ~ c0_1(a259)
    | ~ spl0_23
    | spl0_86
    | ~ spl0_87 ),
    inference(subsumption_resolution,[],[f1853,f621]) ).

fof(f621,plain,
    ( ~ c3_1(a259)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f1853,plain,
    ( c3_1(a259)
    | ~ c0_1(a259)
    | ~ spl0_23
    | ~ spl0_87 ),
    inference(resolution,[],[f312,f626]) ).

fof(f1821,plain,
    ( ~ spl0_20
    | ~ spl0_45
    | ~ spl0_53
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1820]) ).

fof(f1820,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_45
    | ~ spl0_53
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1810,f951]) ).

fof(f1810,plain,
    ( ~ c1_1(a213)
    | ~ spl0_20
    | ~ spl0_45
    | ~ spl0_53
    | ~ spl0_147 ),
    inference(resolution,[],[f1809,f946]) ).

fof(f1809,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_20
    | ~ spl0_45
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f300,f1748]) ).

fof(f1748,plain,
    ( ! [X35] :
        ( c0_1(X35)
        | ~ c3_1(X35) )
    | ~ spl0_45
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f408,f444]) ).

fof(f444,plain,
    ( ! [X58] :
        ( c0_1(X58)
        | ~ c3_1(X58)
        | c2_1(X58) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl0_53
  <=> ! [X58] :
        ( ~ c3_1(X58)
        | c0_1(X58)
        | c2_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1759,plain,
    ( spl0_95
    | ~ spl0_53
    | ~ spl0_56
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1749,f677,f457,f443,f667]) ).

fof(f667,plain,
    ( spl0_95
  <=> c2_1(a243) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1749,plain,
    ( c2_1(a243)
    | ~ spl0_53
    | ~ spl0_56
    | spl0_97 ),
    inference(resolution,[],[f679,f1619]) ).

fof(f1619,plain,
    ( ! [X64] :
        ( c0_1(X64)
        | c2_1(X64) )
    | ~ spl0_53
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f458,f444]) ).

fof(f1742,plain,
    ( spl0_137
    | ~ spl0_53
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1741,f901,f896,f443,f891]) ).

fof(f891,plain,
    ( spl0_137
  <=> c2_1(a216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1741,plain,
    ( c2_1(a216)
    | ~ spl0_53
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1609,f903]) ).

fof(f1609,plain,
    ( ~ c3_1(a216)
    | c2_1(a216)
    | ~ spl0_53
    | spl0_138 ),
    inference(resolution,[],[f444,f898]) ).

fof(f1738,plain,
    ( spl0_120
    | ~ spl0_41
    | ~ spl0_53
    | ~ spl0_56
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1732,f795,f457,f443,f391,f800]) ).

fof(f1732,plain,
    ( c1_1(a228)
    | ~ spl0_41
    | ~ spl0_53
    | ~ spl0_56
    | spl0_119 ),
    inference(resolution,[],[f1705,f797]) ).

fof(f1705,plain,
    ( ! [X29] :
        ( c2_1(X29)
        | c1_1(X29) )
    | ~ spl0_41
    | ~ spl0_53
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f392,f1619]) ).

fof(f1723,plain,
    ( ~ spl0_53
    | ~ spl0_56
    | ~ spl0_59
    | spl0_111
    | spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1722]) ).

fof(f1722,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_56
    | ~ spl0_59
    | spl0_111
    | spl0_112 ),
    inference(subsumption_resolution,[],[f1711,f754]) ).

fof(f754,plain,
    ( ~ c1_1(a235)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f752,plain,
    ( spl0_111
  <=> c1_1(a235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1711,plain,
    ( c1_1(a235)
    | ~ spl0_53
    | ~ spl0_56
    | ~ spl0_59
    | spl0_112 ),
    inference(resolution,[],[f1704,f759]) ).

fof(f759,plain,
    ( ~ c0_1(a235)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl0_112
  <=> c0_1(a235) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1704,plain,
    ( ! [X85] :
        ( c0_1(X85)
        | c1_1(X85) )
    | ~ spl0_53
    | ~ spl0_56
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f477,f1619]) ).

fof(f1701,plain,
    ( spl0_83
    | ~ spl0_53
    | ~ spl0_56
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1626,f608,f457,f443,f603]) ).

fof(f603,plain,
    ( spl0_83
  <=> c2_1(a260) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f608,plain,
    ( spl0_84
  <=> c0_1(a260) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1626,plain,
    ( c2_1(a260)
    | ~ spl0_53
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f1619,f610]) ).

fof(f610,plain,
    ( ~ c0_1(a260)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f1698,plain,
    ( ~ spl0_29
    | ~ spl0_53
    | ~ spl0_56
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1697]) ).

fof(f1697,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_53
    | ~ spl0_56
    | spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f1691,f647]) ).

fof(f1691,plain,
    ( ~ c1_1(a252)
    | ~ spl0_29
    | ~ spl0_53
    | ~ spl0_56
    | spl0_90 ),
    inference(resolution,[],[f1674,f642]) ).

fof(f1674,plain,
    ( ! [X11] :
        ( c2_1(X11)
        | ~ c1_1(X11) )
    | ~ spl0_29
    | ~ spl0_53
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f340,f1619]) ).

fof(f1666,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | spl0_110
    | spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1665]) ).

fof(f1665,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_43
    | spl0_110
    | spl0_111 ),
    inference(subsumption_resolution,[],[f1654,f754]) ).

fof(f1654,plain,
    ( c1_1(a235)
    | ~ spl0_39
    | ~ spl0_43
    | spl0_110 ),
    inference(resolution,[],[f1646,f749]) ).

fof(f1646,plain,
    ( ! [X23] :
        ( c3_1(X23)
        | c1_1(X23) )
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f383,f399]) ).

fof(f399,plain,
    ( ! [X31] :
        ( c2_1(X31)
        | c1_1(X31)
        | c3_1(X31) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl0_43
  <=> ! [X31] :
        ( c3_1(X31)
        | c1_1(X31)
        | c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1603,plain,
    ( ~ spl0_37
    | ~ spl0_66
    | ~ spl0_67
    | spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1602]) ).

fof(f1602,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_66
    | ~ spl0_67
    | spl0_149 ),
    inference(subsumption_resolution,[],[f1601,f514]) ).

fof(f1601,plain,
    ( ~ c2_1(a232)
    | ~ spl0_37
    | ~ spl0_67
    | spl0_149 ),
    inference(subsumption_resolution,[],[f1588,f963]) ).

fof(f1588,plain,
    ( c1_1(a232)
    | ~ c2_1(a232)
    | ~ spl0_37
    | ~ spl0_67 ),
    inference(resolution,[],[f374,f519]) ).

fof(f1600,plain,
    ( ~ spl0_37
    | spl0_75
    | ~ spl0_76
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1599]) ).

fof(f1599,plain,
    ( $false
    | ~ spl0_37
    | spl0_75
    | ~ spl0_76
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1598,f1157]) ).

fof(f1598,plain,
    ( ~ c2_1(a282)
    | ~ spl0_37
    | spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f1587,f562]) ).

fof(f562,plain,
    ( ~ c1_1(a282)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f1587,plain,
    ( c1_1(a282)
    | ~ c2_1(a282)
    | ~ spl0_37
    | ~ spl0_76 ),
    inference(resolution,[],[f374,f567]) ).

fof(f1574,plain,
    ( spl0_131
    | ~ spl0_51
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1567,f869,f864,f433,f859]) ).

fof(f1567,plain,
    ( c3_1(a220)
    | ~ spl0_51
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1561,f871]) ).

fof(f1561,plain,
    ( ~ c2_1(a220)
    | c3_1(a220)
    | ~ spl0_51
    | spl0_132 ),
    inference(resolution,[],[f434,f866]) ).

fof(f1502,plain,
    ( ~ spl0_19
    | ~ spl0_62
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_contradiction_clause,[],[f1501]) ).

fof(f1501,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_62
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f1500,f493]) ).

fof(f1500,plain,
    ( ~ c2_1(a246)
    | ~ spl0_19
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f1497,f503]) ).

fof(f503,plain,
    ( c0_1(a246)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1497,plain,
    ( ~ c0_1(a246)
    | ~ c2_1(a246)
    | ~ spl0_19
    | ~ spl0_63 ),
    inference(resolution,[],[f498,f297]) ).

fof(f1429,plain,
    ( spl0_86
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1417,f629,f357,f303,f619]) ).

fof(f1417,plain,
    ( c3_1(a259)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(resolution,[],[f1372,f631]) ).

fof(f1372,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | c3_1(X3) )
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f304,f358]) ).

fof(f1428,plain,
    ( spl0_74
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1424,f565,f357,f303,f555]) ).

fof(f1424,plain,
    ( c3_1(a282)
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(resolution,[],[f567,f1372]) ).

fof(f1384,plain,
    ( spl0_77
    | ~ spl0_33
    | ~ spl0_56
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1373,f576,f457,f357,f571]) ).

fof(f571,plain,
    ( spl0_77
  <=> c3_1(a278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f576,plain,
    ( spl0_78
  <=> c2_1(a278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1373,plain,
    ( c3_1(a278)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_78 ),
    inference(resolution,[],[f578,f1351]) ).

fof(f1351,plain,
    ( ! [X64] :
        ( c2_1(X64)
        | c3_1(X64) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f458,f358]) ).

fof(f578,plain,
    ( ~ c2_1(a278)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1367,plain,
    ( spl0_89
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1359,f640,f457,f357,f635]) ).

fof(f635,plain,
    ( spl0_89
  <=> c3_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1359,plain,
    ( c3_1(a252)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90 ),
    inference(resolution,[],[f1351,f642]) ).

fof(f1329,plain,
    ( ~ spl0_46
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1328]) ).

fof(f1328,plain,
    ( $false
    | ~ spl0_46
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f1327,f658]) ).

fof(f1327,plain,
    ( ~ c3_1(a247)
    | ~ spl0_46
    | spl0_92
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f1322,f653]) ).

fof(f653,plain,
    ( ~ c2_1(a247)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f1322,plain,
    ( c2_1(a247)
    | ~ c3_1(a247)
    | ~ spl0_46
    | ~ spl0_94 ),
    inference(resolution,[],[f411,f663]) ).

fof(f411,plain,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | c2_1(X34)
        | ~ c3_1(X34) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl0_46
  <=> ! [X34] :
        ( ~ c3_1(X34)
        | c2_1(X34)
        | ~ c0_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1291,plain,
    ( ~ spl0_45
    | ~ spl0_51
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1290]) ).

fof(f1290,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_51
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1281,f919]) ).

fof(f919,plain,
    ( c2_1(a215)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f917,plain,
    ( spl0_142
  <=> c2_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1281,plain,
    ( ~ c2_1(a215)
    | ~ spl0_45
    | ~ spl0_51
    | spl0_141 ),
    inference(resolution,[],[f1278,f914]) ).

fof(f914,plain,
    ( ~ c0_1(a215)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f912,plain,
    ( spl0_141
  <=> c0_1(a215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1278,plain,
    ( ! [X48] :
        ( c0_1(X48)
        | ~ c2_1(X48) )
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f434,f408]) ).

fof(f1276,plain,
    ( spl0_116
    | ~ spl0_45
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1275,f789,f784,f407,f779]) ).

fof(f1275,plain,
    ( c0_1(a229)
    | ~ spl0_45
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1269,f791]) ).

fof(f791,plain,
    ( c2_1(a229)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f1269,plain,
    ( c0_1(a229)
    | ~ c2_1(a229)
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(resolution,[],[f408,f786]) ).

fof(f1254,plain,
    ( ~ spl0_42
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1253]) ).

fof(f1253,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1252,f514]) ).

fof(f1252,plain,
    ( ~ c2_1(a232)
    | ~ spl0_42
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1248,f509]) ).

fof(f1248,plain,
    ( ~ c3_1(a232)
    | ~ c2_1(a232)
    | ~ spl0_42
    | ~ spl0_67 ),
    inference(resolution,[],[f395,f519]) ).

fof(f395,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | ~ c3_1(X28)
        | ~ c2_1(X28) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl0_42
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | ~ c0_1(X28)
        | ~ c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1097,plain,
    ( ~ spl0_33
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1096]) ).

fof(f1096,plain,
    ( $false
    | ~ spl0_33
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1095,f813]) ).

fof(f813,plain,
    ( ~ c3_1(a225)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl0_122
  <=> c3_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1095,plain,
    ( c3_1(a225)
    | ~ spl0_33
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1094,f818]) ).

fof(f818,plain,
    ( ~ c2_1(a225)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f816,plain,
    ( spl0_123
  <=> c2_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1094,plain,
    ( c2_1(a225)
    | c3_1(a225)
    | ~ spl0_33
    | ~ spl0_124 ),
    inference(resolution,[],[f823,f358]) ).

fof(f823,plain,
    ( c0_1(a225)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f821,plain,
    ( spl0_124
  <=> c0_1(a225) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1041,plain,
    ( spl0_109
    | ~ spl0_43
    | spl0_107
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1040,f736,f731,f398,f741]) ).

fof(f1040,plain,
    ( c1_1(a236)
    | ~ spl0_43
    | spl0_107
    | spl0_108 ),
    inference(subsumption_resolution,[],[f1032,f733]) ).

fof(f733,plain,
    ( ~ c3_1(a236)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f1032,plain,
    ( c1_1(a236)
    | c3_1(a236)
    | ~ spl0_43
    | spl0_108 ),
    inference(resolution,[],[f399,f738]) ).

fof(f977,plain,
    ( ~ spl0_20
    | ~ spl0_35
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f976,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f975,f519]) ).

fof(f975,plain,
    ( ~ c0_1(a232)
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_65 ),
    inference(resolution,[],[f974,f509]) ).

fof(f974,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f366,f300]) ).

fof(f964,plain,
    ( ~ spl0_149
    | ~ spl0_67
    | ~ spl0_20
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f958,f507,f299,f517,f961]) ).

fof(f958,plain,
    ( ~ c0_1(a232)
    | ~ c1_1(a232)
    | ~ spl0_20
    | ~ spl0_65 ),
    inference(resolution,[],[f509,f300]) ).

fof(f957,plain,
    ( ~ spl0_21
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f956]) ).

fof(f956,plain,
    ( $false
    | ~ spl0_21
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f955,f711]) ).

fof(f955,plain,
    ( ~ c0_1(a238)
    | ~ spl0_21
    | spl0_101
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f954,f701]) ).

fof(f954,plain,
    ( c3_1(a238)
    | ~ c0_1(a238)
    | ~ spl0_21
    | ~ spl0_102 ),
    inference(resolution,[],[f304,f706]) ).

fof(f952,plain,
    ( ~ spl0_25
    | spl0_148 ),
    inference(avatar_split_clause,[],[f8,f949,f319]) ).

fof(f319,plain,
    ( spl0_25
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f8,plain,
    ( c1_1(a213)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp13
      | hskp11
      | hskp10 )
    & ( hskp3
      | hskp2
      | hskp25 )
    & ( hskp23
      | hskp9
      | hskp16 )
    & ( hskp10
      | hskp8
      | hskp24 )
    & ( hskp11
      | hskp7
      | hskp15 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp3
      | hskp5
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp4
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp0
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp8
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp22
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp20
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp6
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp28
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp16
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp10
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c2_1(X44)
          | c3_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c0_1(X56)
          | c3_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | c2_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X62] :
          ( ~ c1_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp1
      | ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp8
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c3_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | ! [X85] :
          ( ~ c2_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c2_1(X87)
          | c3_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X89] :
          ( c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a246)
        & c1_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a232)
        & c2_1(a232)
        & c0_1(a232)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a223)
        & c2_1(a223)
        & c1_1(a223)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a288)
        & ~ c0_1(a288)
        & c1_1(a288)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a282)
        & ~ c1_1(a282)
        & c0_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a278)
        & ~ c2_1(a278)
        & ~ c0_1(a278)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a263)
        & c3_1(a263)
        & c1_1(a263)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a260)
        & ~ c0_1(a260)
        & c1_1(a260)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a259)
        & c1_1(a259)
        & c0_1(a259)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a252)
        & ~ c2_1(a252)
        & c1_1(a252)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a247)
        & c3_1(a247)
        & c0_1(a247)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a243)
        & ~ c1_1(a243)
        & ~ c0_1(a243)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a239)
        & c2_1(a239)
        & c1_1(a239)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a238)
        & c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a237)
        & c2_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a236)
        & ~ c2_1(a236)
        & ~ c1_1(a236)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a230)
        & c3_1(a230)
        & c2_1(a230)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a229)
        & c3_1(a229)
        & c2_1(a229)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a228)
        & ~ c1_1(a228)
        & c3_1(a228)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a225)
        & ~ c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a224)
        & c3_1(a224)
        & c0_1(a224)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a221)
        & c1_1(a221)
        & c0_1(a221)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a220)
        & ~ c0_1(a220)
        & c2_1(a220)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a218)
        & ~ c0_1(a218)
        & c3_1(a218)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a216)
        & ~ c0_1(a216)
        & c3_1(a216)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a215)
        & ~ c0_1(a215)
        & c2_1(a215)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a214)
        & c2_1(a214)
        & c1_1(a214)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a213)
        & c3_1(a213)
        & c1_1(a213)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp13
      | hskp11
      | hskp10 )
    & ( hskp3
      | hskp2
      | hskp25 )
    & ( hskp23
      | hskp9
      | hskp16 )
    & ( hskp10
      | hskp8
      | hskp24 )
    & ( hskp11
      | hskp7
      | hskp15 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp3
      | hskp5
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp4
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp0
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp8
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp22
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp20
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp6
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp28
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp16
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp10
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c2_1(X44)
          | c3_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c0_1(X56)
          | c3_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | c2_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X62] :
          ( ~ c1_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp1
      | ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp8
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c3_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | ! [X85] :
          ( ~ c2_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c2_1(X87)
          | c3_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X89] :
          ( c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a246)
        & c1_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a232)
        & c2_1(a232)
        & c0_1(a232)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a223)
        & c2_1(a223)
        & c1_1(a223)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a288)
        & ~ c0_1(a288)
        & c1_1(a288)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a282)
        & ~ c1_1(a282)
        & c0_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a278)
        & ~ c2_1(a278)
        & ~ c0_1(a278)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a263)
        & c3_1(a263)
        & c1_1(a263)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a260)
        & ~ c0_1(a260)
        & c1_1(a260)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a259)
        & c1_1(a259)
        & c0_1(a259)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a252)
        & ~ c2_1(a252)
        & c1_1(a252)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a247)
        & c3_1(a247)
        & c0_1(a247)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a243)
        & ~ c1_1(a243)
        & ~ c0_1(a243)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a239)
        & c2_1(a239)
        & c1_1(a239)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a238)
        & c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a237)
        & c2_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a236)
        & ~ c2_1(a236)
        & ~ c1_1(a236)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a230)
        & c3_1(a230)
        & c2_1(a230)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a229)
        & c3_1(a229)
        & c2_1(a229)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a228)
        & ~ c1_1(a228)
        & c3_1(a228)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a225)
        & ~ c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a224)
        & c3_1(a224)
        & c0_1(a224)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a221)
        & c1_1(a221)
        & c0_1(a221)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a220)
        & ~ c0_1(a220)
        & c2_1(a220)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a218)
        & ~ c0_1(a218)
        & c3_1(a218)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a216)
        & ~ c0_1(a216)
        & c3_1(a216)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a215)
        & ~ c0_1(a215)
        & c2_1(a215)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a214)
        & c2_1(a214)
        & c1_1(a214)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a213)
        & c3_1(a213)
        & c1_1(a213)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp13
      | hskp11
      | hskp10 )
    & ( hskp3
      | hskp2
      | hskp25 )
    & ( hskp23
      | hskp9
      | hskp16 )
    & ( hskp10
      | hskp8
      | hskp24 )
    & ( hskp11
      | hskp7
      | hskp15 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp3
      | hskp5
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp20
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp27
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp13
      | hskp4
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp12
      | hskp0
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp3
      | hskp8
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp3
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp12
      | hskp22
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp13
      | hskp20
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp21
      | hskp20
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp18
      | hskp6
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp26
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | ~ c1_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp0
      | hskp15
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp27
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp19
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp18
      | hskp28
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp15
      | hskp28
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp18
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c1_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | c3_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp28
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp26
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c1_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c2_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp11
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp17
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c2_1(X30)
            | ~ c0_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp0
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | ~ c0_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp6
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | c0_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp2
      | hskp16
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c1_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp15
      | hskp14
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp13
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp12
      | hskp10
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | c3_1(X44)
            | c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp9
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp27
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c0_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp4
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | c3_1(X56)
            | c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | c2_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c2_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | c2_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp11
      | hskp10
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c2_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp9
      | hskp1
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp0
      | hskp8
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp7
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c1_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp26
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp0
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c3_1(X69)
            | c2_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp6
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c1_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c1_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp5
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c0_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp3
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp4
      | hskp1
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c3_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp3
      | hskp2
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp1
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | ~ c1_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp0
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c1_1(X94)
            | ~ c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c1_1(X95)
            | c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ( c2_1(a246)
        & c1_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a232)
        & c2_1(a232)
        & c0_1(a232)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a223)
        & c2_1(a223)
        & c1_1(a223)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a288)
        & ~ c0_1(a288)
        & c1_1(a288)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a282)
        & ~ c1_1(a282)
        & c0_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a278)
        & ~ c2_1(a278)
        & ~ c0_1(a278)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a263)
        & c3_1(a263)
        & c1_1(a263)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a260)
        & ~ c0_1(a260)
        & c1_1(a260)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a259)
        & c1_1(a259)
        & c0_1(a259)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a252)
        & ~ c2_1(a252)
        & c1_1(a252)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a247)
        & c3_1(a247)
        & c0_1(a247)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a243)
        & ~ c1_1(a243)
        & ~ c0_1(a243)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a239)
        & c2_1(a239)
        & c1_1(a239)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a238)
        & c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a237)
        & c2_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a236)
        & ~ c2_1(a236)
        & ~ c1_1(a236)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a230)
        & c3_1(a230)
        & c2_1(a230)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a229)
        & c3_1(a229)
        & c2_1(a229)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a228)
        & ~ c1_1(a228)
        & c3_1(a228)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a225)
        & ~ c2_1(a225)
        & c0_1(a225)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a224)
        & c3_1(a224)
        & c0_1(a224)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a221)
        & c1_1(a221)
        & c0_1(a221)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a220)
        & ~ c0_1(a220)
        & c2_1(a220)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a218)
        & ~ c0_1(a218)
        & c3_1(a218)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a216)
        & ~ c0_1(a216)
        & c3_1(a216)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a215)
        & ~ c0_1(a215)
        & c2_1(a215)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a214)
        & c2_1(a214)
        & c1_1(a214)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a213)
        & c3_1(a213)
        & c1_1(a213)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp13
          | hskp11
          | hskp10 )
        & ( hskp3
          | hskp2
          | hskp25 )
        & ( hskp23
          | hskp9
          | hskp16 )
        & ( hskp10
          | hskp8
          | hskp24 )
        & ( hskp11
          | hskp7
          | hskp15 )
        & ( hskp23
          | hskp18
          | hskp20 )
        & ( hskp3
          | hskp5
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp20
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp27
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp13
          | hskp4
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp12
          | hskp0
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp3
          | hskp8
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp3
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp12
          | hskp22
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp13
          | hskp20
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp21
          | hskp20
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp18
          | hskp6
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp26
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | ~ c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp0
          | hskp15
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp27
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp19
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp18
          | hskp28
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp15
          | hskp28
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp18
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp26
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp11
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp17
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp0
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp2
          | hskp16
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp15
          | hskp14
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp12
          | hskp10
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp9
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp27
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp4
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c2_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | hskp10
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp9
          | hskp1
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp0
          | hskp8
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp7
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp26
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp0
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp6
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp5
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp3
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp4
          | hskp1
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp3
          | hskp2
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp1
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp0
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ( c2_1(a246)
            & c1_1(a246)
            & c0_1(a246)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a232)
            & c2_1(a232)
            & c0_1(a232)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a223)
            & c2_1(a223)
            & c1_1(a223)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a288)
            & ~ c0_1(a288)
            & c1_1(a288)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a282)
            & ~ c1_1(a282)
            & c0_1(a282)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a278)
            & ~ c2_1(a278)
            & ~ c0_1(a278)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a263)
            & c3_1(a263)
            & c1_1(a263)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a260)
            & ~ c0_1(a260)
            & c1_1(a260)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a259)
            & c1_1(a259)
            & c0_1(a259)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a252)
            & ~ c2_1(a252)
            & c1_1(a252)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a247)
            & c3_1(a247)
            & c0_1(a247)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a243)
            & ~ c1_1(a243)
            & ~ c0_1(a243)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a239)
            & c2_1(a239)
            & c1_1(a239)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a238)
            & c2_1(a238)
            & c0_1(a238)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a237)
            & c2_1(a237)
            & c0_1(a237)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a236)
            & ~ c2_1(a236)
            & ~ c1_1(a236)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a235)
            & ~ c1_1(a235)
            & ~ c0_1(a235)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a230)
            & c3_1(a230)
            & c2_1(a230)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a229)
            & c3_1(a229)
            & c2_1(a229)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a228)
            & ~ c1_1(a228)
            & c3_1(a228)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a225)
            & ~ c2_1(a225)
            & c0_1(a225)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a224)
            & c3_1(a224)
            & c0_1(a224)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a221)
            & c1_1(a221)
            & c0_1(a221)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a220)
            & ~ c0_1(a220)
            & c2_1(a220)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a218)
            & ~ c0_1(a218)
            & c3_1(a218)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a216)
            & ~ c0_1(a216)
            & c3_1(a216)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a215)
            & ~ c0_1(a215)
            & c2_1(a215)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a214)
            & c2_1(a214)
            & c1_1(a214)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a213)
            & c3_1(a213)
            & c1_1(a213)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp13
          | hskp11
          | hskp10 )
        & ( hskp3
          | hskp2
          | hskp25 )
        & ( hskp23
          | hskp9
          | hskp16 )
        & ( hskp10
          | hskp8
          | hskp24 )
        & ( hskp11
          | hskp7
          | hskp15 )
        & ( hskp23
          | hskp18
          | hskp20 )
        & ( hskp3
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( hskp20
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) ) )
        & ( hskp27
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) ) )
        & ( hskp13
          | hskp4
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) ) )
        & ( hskp12
          | hskp0
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | ~ c0_1(X91)
                | c3_1(X91) ) ) )
        & ( hskp3
          | hskp8
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) ) )
        & ( hskp3
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp12
          | hskp22
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp13
          | hskp20
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | c2_1(X86) ) ) )
        & ( hskp21
          | hskp20
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp18
          | hskp6
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp26
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp0
          | hskp15
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp27
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp19
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp18
          | hskp28
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp15
          | hskp28
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp18
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp28
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp26
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp11
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp17
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp0
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp6
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp2
          | hskp16
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp15
          | hskp14
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp13
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp12
          | hskp10
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp9
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp27
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp4
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp10
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp9
          | hskp1
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp0
          | hskp8
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp7
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp26
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp0
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp6
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c1_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c3_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c2_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp4
          | hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp3
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a246)
            & c1_1(a246)
            & c0_1(a246)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a232)
            & c2_1(a232)
            & c0_1(a232)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a223)
            & c2_1(a223)
            & c1_1(a223)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a288)
            & ~ c0_1(a288)
            & c1_1(a288)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a282)
            & ~ c1_1(a282)
            & c0_1(a282)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a278)
            & ~ c2_1(a278)
            & ~ c0_1(a278)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a263)
            & c3_1(a263)
            & c1_1(a263)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a260)
            & ~ c0_1(a260)
            & c1_1(a260)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a259)
            & c1_1(a259)
            & c0_1(a259)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a252)
            & ~ c2_1(a252)
            & c1_1(a252)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a247)
            & c3_1(a247)
            & c0_1(a247)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a243)
            & ~ c1_1(a243)
            & ~ c0_1(a243)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a239)
            & c2_1(a239)
            & c1_1(a239)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a238)
            & c2_1(a238)
            & c0_1(a238)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a237)
            & c2_1(a237)
            & c0_1(a237)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a236)
            & ~ c2_1(a236)
            & ~ c1_1(a236)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a235)
            & ~ c1_1(a235)
            & ~ c0_1(a235)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a230)
            & c3_1(a230)
            & c2_1(a230)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a229)
            & c3_1(a229)
            & c2_1(a229)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a228)
            & ~ c1_1(a228)
            & c3_1(a228)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a225)
            & ~ c2_1(a225)
            & c0_1(a225)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a224)
            & c3_1(a224)
            & c0_1(a224)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a221)
            & c1_1(a221)
            & c0_1(a221)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a220)
            & ~ c0_1(a220)
            & c2_1(a220)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a218)
            & ~ c0_1(a218)
            & c3_1(a218)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a216)
            & ~ c0_1(a216)
            & c3_1(a216)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a215)
            & ~ c0_1(a215)
            & c2_1(a215)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a214)
            & c2_1(a214)
            & c1_1(a214)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a213)
            & c3_1(a213)
            & c1_1(a213)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp13
        | hskp11
        | hskp10 )
      & ( hskp3
        | hskp2
        | hskp25 )
      & ( hskp23
        | hskp9
        | hskp16 )
      & ( hskp10
        | hskp8
        | hskp24 )
      & ( hskp11
        | hskp7
        | hskp15 )
      & ( hskp23
        | hskp18
        | hskp20 )
      & ( hskp3
        | hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | ~ c1_1(X96) ) ) )
      & ( hskp20
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) ) )
      & ( hskp27
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) ) )
      & ( hskp13
        | hskp4
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c3_1(X92) ) ) )
      & ( hskp12
        | hskp0
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | ~ c0_1(X91)
              | c3_1(X91) ) ) )
      & ( hskp3
        | hskp8
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c0_1(X90)
              | c3_1(X90) ) ) )
      & ( hskp3
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp12
        | hskp22
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c1_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp13
        | hskp20
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c1_1(X86)
              | c2_1(X86) ) ) )
      & ( hskp21
        | hskp20
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp18
        | hskp6
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp26
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp0
        | hskp15
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp27
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp19
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp18
        | hskp28
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c0_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp15
        | hskp28
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp18
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp28
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | ~ c0_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp26
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c1_1(X70)
              | c2_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp11
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp17
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp0
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp6
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c0_1(X62)
              | c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | ~ c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp2
        | hskp16
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp15
        | hskp14
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp13
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp12
        | hskp10
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp9
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp27
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c0_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp4
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c3_1(X40)
              | c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | c2_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | c2_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp10
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp9
        | hskp1
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp0
        | hskp8
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp7
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c1_1(X31)
              | ~ c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp26
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp0
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | c3_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp6
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c2_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c3_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | ~ c0_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp5
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c1_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c3_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp3
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c2_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp4
        | hskp1
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp3
        | hskp2
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | ~ c2_1(X6)
              | ~ c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c0_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c1_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a246)
          & c1_1(a246)
          & c0_1(a246)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a232)
          & c2_1(a232)
          & c0_1(a232)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a223)
          & c2_1(a223)
          & c1_1(a223)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a288)
          & ~ c0_1(a288)
          & c1_1(a288)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a282)
          & ~ c1_1(a282)
          & c0_1(a282)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a278)
          & ~ c2_1(a278)
          & ~ c0_1(a278)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a263)
          & c3_1(a263)
          & c1_1(a263)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a260)
          & ~ c0_1(a260)
          & c1_1(a260)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a259)
          & c1_1(a259)
          & c0_1(a259)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a252)
          & ~ c2_1(a252)
          & c1_1(a252)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a247)
          & c3_1(a247)
          & c0_1(a247)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a243)
          & ~ c1_1(a243)
          & ~ c0_1(a243)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a239)
          & c2_1(a239)
          & c1_1(a239)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a238)
          & c2_1(a238)
          & c0_1(a238)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a237)
          & c2_1(a237)
          & c0_1(a237)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a236)
          & ~ c2_1(a236)
          & ~ c1_1(a236)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a235)
          & ~ c1_1(a235)
          & ~ c0_1(a235)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a230)
          & c3_1(a230)
          & c2_1(a230)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a229)
          & c3_1(a229)
          & c2_1(a229)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a228)
          & ~ c1_1(a228)
          & c3_1(a228)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a225)
          & ~ c2_1(a225)
          & c0_1(a225)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a224)
          & c3_1(a224)
          & c0_1(a224)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a221)
          & c1_1(a221)
          & c0_1(a221)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a220)
          & ~ c0_1(a220)
          & c2_1(a220)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a218)
          & ~ c0_1(a218)
          & c3_1(a218)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a216)
          & ~ c0_1(a216)
          & c3_1(a216)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a215)
          & ~ c0_1(a215)
          & c2_1(a215)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a214)
          & c2_1(a214)
          & c1_1(a214)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a213)
          & c3_1(a213)
          & c1_1(a213)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f947,plain,
    ( ~ spl0_25
    | spl0_147 ),
    inference(avatar_split_clause,[],[f9,f944,f319]) ).

fof(f9,plain,
    ( c3_1(a213)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_25
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f10,f939,f319]) ).

fof(f10,plain,
    ( ~ c2_1(a213)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f936,plain,
    ( ~ spl0_55
    | spl0_145 ),
    inference(avatar_split_clause,[],[f12,f933,f452]) ).

fof(f452,plain,
    ( spl0_55
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f12,plain,
    ( c1_1(a214)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f931,plain,
    ( ~ spl0_55
    | spl0_144 ),
    inference(avatar_split_clause,[],[f13,f928,f452]) ).

fof(f13,plain,
    ( c2_1(a214)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f920,plain,
    ( ~ spl0_5
    | spl0_142 ),
    inference(avatar_split_clause,[],[f16,f917,f235]) ).

fof(f235,plain,
    ( spl0_5
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f16,plain,
    ( c2_1(a215)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f915,plain,
    ( ~ spl0_5
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f17,f912,f235]) ).

fof(f17,plain,
    ( ~ c0_1(a215)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_6
    | spl0_139 ),
    inference(avatar_split_clause,[],[f20,f901,f239]) ).

fof(f239,plain,
    ( spl0_6
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f20,plain,
    ( c3_1(a216)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_6
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f21,f896,f239]) ).

fof(f21,plain,
    ( ~ c0_1(a216)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_6
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f22,f891,f239]) ).

fof(f22,plain,
    ( ~ c2_1(a216)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( ~ spl0_24
    | spl0_136 ),
    inference(avatar_split_clause,[],[f24,f885,f314]) ).

fof(f314,plain,
    ( spl0_24
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f24,plain,
    ( c3_1(a218)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_24
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f25,f880,f314]) ).

fof(f25,plain,
    ( ~ c0_1(a218)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( ~ spl0_24
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f26,f875,f314]) ).

fof(f26,plain,
    ( ~ c1_1(a218)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_18
    | spl0_133 ),
    inference(avatar_split_clause,[],[f28,f869,f291]) ).

fof(f291,plain,
    ( spl0_18
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f28,plain,
    ( c2_1(a220)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_18
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f29,f864,f291]) ).

fof(f29,plain,
    ( ~ c0_1(a220)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_18
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f30,f859,f291]) ).

fof(f30,plain,
    ( ~ c3_1(a220)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_31
    | spl0_130 ),
    inference(avatar_split_clause,[],[f32,f853,f347]) ).

fof(f347,plain,
    ( spl0_31
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f32,plain,
    ( c0_1(a221)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_31
    | spl0_129 ),
    inference(avatar_split_clause,[],[f33,f848,f347]) ).

fof(f33,plain,
    ( c1_1(a221)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_31
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f34,f843,f347]) ).

fof(f34,plain,
    ( ~ c2_1(a221)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_13
    | spl0_16 ),
    inference(avatar_split_clause,[],[f35,f284,f270]) ).

fof(f270,plain,
    ( spl0_13
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f284,plain,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f35,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f840,plain,
    ( ~ spl0_13
    | spl0_127 ),
    inference(avatar_split_clause,[],[f36,f837,f270]) ).

fof(f36,plain,
    ( c0_1(a224)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_13
    | spl0_126 ),
    inference(avatar_split_clause,[],[f37,f832,f270]) ).

fof(f37,plain,
    ( c3_1(a224)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_13
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f38,f827,f270]) ).

fof(f38,plain,
    ( ~ c1_1(a224)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f824,plain,
    ( ~ spl0_11
    | spl0_124 ),
    inference(avatar_split_clause,[],[f40,f821,f261]) ).

fof(f261,plain,
    ( spl0_11
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f40,plain,
    ( c0_1(a225)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f819,plain,
    ( ~ spl0_11
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f41,f816,f261]) ).

fof(f41,plain,
    ( ~ c2_1(a225)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_11
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f42,f811,f261]) ).

fof(f42,plain,
    ( ~ c3_1(a225)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_8
    | spl0_121 ),
    inference(avatar_split_clause,[],[f44,f805,f248]) ).

fof(f248,plain,
    ( spl0_8
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f44,plain,
    ( c3_1(a228)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_8
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f45,f800,f248]) ).

fof(f45,plain,
    ( ~ c1_1(a228)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_8
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f46,f795,f248]) ).

fof(f46,plain,
    ( ~ c2_1(a228)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( ~ spl0_1
    | spl0_118 ),
    inference(avatar_split_clause,[],[f48,f789,f218]) ).

fof(f218,plain,
    ( spl0_1
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f48,plain,
    ( c2_1(a229)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( ~ spl0_1
    | spl0_117 ),
    inference(avatar_split_clause,[],[f49,f784,f218]) ).

fof(f49,plain,
    ( c3_1(a229)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_1
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f50,f779,f218]) ).

fof(f50,plain,
    ( ~ c0_1(a229)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f51,f284,f222]) ).

fof(f222,plain,
    ( spl0_2
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f51,plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f776,plain,
    ( ~ spl0_2
    | spl0_115 ),
    inference(avatar_split_clause,[],[f52,f773,f222]) ).

fof(f52,plain,
    ( c2_1(a230)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( ~ spl0_2
    | spl0_114 ),
    inference(avatar_split_clause,[],[f53,f768,f222]) ).

fof(f53,plain,
    ( c3_1(a230)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f766,plain,
    ( ~ spl0_2
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f54,f763,f222]) ).

fof(f54,plain,
    ( ~ c1_1(a230)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_26
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f56,f757,f323]) ).

fof(f323,plain,
    ( spl0_26
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f56,plain,
    ( ~ c0_1(a235)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( ~ spl0_26
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f57,f752,f323]) ).

fof(f57,plain,
    ( ~ c1_1(a235)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( ~ spl0_26
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f58,f747,f323]) ).

fof(f58,plain,
    ( ~ c3_1(a235)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_3
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f60,f741,f226]) ).

fof(f226,plain,
    ( spl0_3
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f60,plain,
    ( ~ c1_1(a236)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( ~ spl0_3
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f61,f736,f226]) ).

fof(f61,plain,
    ( ~ c2_1(a236)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( ~ spl0_3
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f62,f731,f226]) ).

fof(f62,plain,
    ( ~ c3_1(a236)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f728,plain,
    ( ~ spl0_48
    | spl0_106 ),
    inference(avatar_split_clause,[],[f64,f725,f419]) ).

fof(f419,plain,
    ( spl0_48
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f64,plain,
    ( c0_1(a237)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_48
    | spl0_105 ),
    inference(avatar_split_clause,[],[f65,f720,f419]) ).

fof(f65,plain,
    ( c2_1(a237)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_12
    | spl0_16 ),
    inference(avatar_split_clause,[],[f67,f284,f266]) ).

fof(f266,plain,
    ( spl0_12
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f67,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f712,plain,
    ( ~ spl0_12
    | spl0_103 ),
    inference(avatar_split_clause,[],[f68,f709,f266]) ).

fof(f68,plain,
    ( c0_1(a238)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f707,plain,
    ( ~ spl0_12
    | spl0_102 ),
    inference(avatar_split_clause,[],[f69,f704,f266]) ).

fof(f69,plain,
    ( c2_1(a238)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f702,plain,
    ( ~ spl0_12
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f70,f699,f266]) ).

fof(f70,plain,
    ( ~ c3_1(a238)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f696,plain,
    ( ~ spl0_7
    | spl0_100 ),
    inference(avatar_split_clause,[],[f72,f693,f244]) ).

fof(f244,plain,
    ( spl0_7
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f72,plain,
    ( c1_1(a239)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_7
    | spl0_99 ),
    inference(avatar_split_clause,[],[f73,f688,f244]) ).

fof(f73,plain,
    ( c2_1(a239)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_44
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f76,f677,f401]) ).

fof(f401,plain,
    ( spl0_44
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f76,plain,
    ( ~ c0_1(a243)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_44
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f77,f672,f401]) ).

fof(f77,plain,
    ( ~ c1_1(a243)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f670,plain,
    ( ~ spl0_44
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f78,f667,f401]) ).

fof(f78,plain,
    ( ~ c2_1(a243)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_15
    | spl0_94 ),
    inference(avatar_split_clause,[],[f80,f661,f279]) ).

fof(f279,plain,
    ( spl0_15
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f80,plain,
    ( c0_1(a247)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_15
    | spl0_93 ),
    inference(avatar_split_clause,[],[f81,f656,f279]) ).

fof(f81,plain,
    ( c3_1(a247)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( ~ spl0_15
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f82,f651,f279]) ).

fof(f82,plain,
    ( ~ c2_1(a247)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( ~ spl0_36
    | spl0_91 ),
    inference(avatar_split_clause,[],[f84,f645,f368]) ).

fof(f368,plain,
    ( spl0_36
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f84,plain,
    ( c1_1(a252)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f643,plain,
    ( ~ spl0_36
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f85,f640,f368]) ).

fof(f85,plain,
    ( ~ c2_1(a252)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( ~ spl0_36
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f86,f635,f368]) ).

fof(f86,plain,
    ( ~ c3_1(a252)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_14
    | spl0_88 ),
    inference(avatar_split_clause,[],[f88,f629,f275]) ).

fof(f275,plain,
    ( spl0_14
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f88,plain,
    ( c0_1(a259)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_14
    | spl0_87 ),
    inference(avatar_split_clause,[],[f89,f624,f275]) ).

fof(f89,plain,
    ( c1_1(a259)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_14
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f90,f619,f275]) ).

fof(f90,plain,
    ( ~ c3_1(a259)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f611,plain,
    ( ~ spl0_30
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f93,f608,f342]) ).

fof(f342,plain,
    ( spl0_30
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f93,plain,
    ( ~ c0_1(a260)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_30
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f94,f603,f342]) ).

fof(f94,plain,
    ( ~ c2_1(a260)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f579,plain,
    ( ~ spl0_9
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f101,f576,f252]) ).

fof(f252,plain,
    ( spl0_9
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f101,plain,
    ( ~ c2_1(a278)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_9
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f102,f571,f252]) ).

fof(f102,plain,
    ( ~ c3_1(a278)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_10
    | spl0_76 ),
    inference(avatar_split_clause,[],[f104,f565,f257]) ).

fof(f257,plain,
    ( spl0_10
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f104,plain,
    ( c0_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl0_10
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f105,f560,f257]) ).

fof(f105,plain,
    ( ~ c1_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f558,plain,
    ( ~ spl0_10
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f106,f555,f257]) ).

fof(f106,plain,
    ( ~ c3_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( ~ spl0_32
    | spl0_70 ),
    inference(avatar_split_clause,[],[f112,f533,f352]) ).

fof(f352,plain,
    ( spl0_32
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f112,plain,
    ( c1_1(a223)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( ~ spl0_32
    | spl0_69 ),
    inference(avatar_split_clause,[],[f113,f528,f352]) ).

fof(f113,plain,
    ( c2_1(a223)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f526,plain,
    ( ~ spl0_32
    | spl0_68 ),
    inference(avatar_split_clause,[],[f114,f523,f352]) ).

fof(f114,plain,
    ( c3_1(a223)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( ~ spl0_22
    | spl0_67 ),
    inference(avatar_split_clause,[],[f116,f517,f306]) ).

fof(f306,plain,
    ( spl0_22
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f116,plain,
    ( c0_1(a232)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( ~ spl0_22
    | spl0_66 ),
    inference(avatar_split_clause,[],[f117,f512,f306]) ).

fof(f117,plain,
    ( c2_1(a232)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( ~ spl0_22
    | spl0_65 ),
    inference(avatar_split_clause,[],[f118,f507,f306]) ).

fof(f118,plain,
    ( c3_1(a232)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( ~ spl0_38
    | spl0_64 ),
    inference(avatar_split_clause,[],[f120,f501,f376]) ).

fof(f376,plain,
    ( spl0_38
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f120,plain,
    ( c0_1(a246)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( ~ spl0_38
    | spl0_63 ),
    inference(avatar_split_clause,[],[f121,f496,f376]) ).

fof(f121,plain,
    ( c1_1(a246)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( ~ spl0_38
    | spl0_62 ),
    inference(avatar_split_clause,[],[f122,f491,f376]) ).

fof(f122,plain,
    ( c2_1(a246)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_61
    | spl0_47
    | ~ spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f183,f296,f284,f415,f487]) ).

fof(f183,plain,
    ! [X96,X94,X95] :
      ( ~ c2_1(X94)
      | ~ c1_1(X94)
      | ~ c0_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | ~ c1_1(X95)
      | c0_1(X95)
      | c2_1(X96)
      | c1_1(X96)
      | c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f123]) ).

fof(f123,plain,
    ! [X96,X94,X95] :
      ( ~ c2_1(X94)
      | ~ c1_1(X94)
      | ~ c0_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | ~ c1_1(X95)
      | c0_1(X95)
      | ~ ndr1_0
      | c2_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_59
    | spl0_39
    | ~ spl0_16
    | spl0_29 ),
    inference(avatar_split_clause,[],[f186,f339,f284,f382,f476]) ).

fof(f186,plain,
    ! [X88,X86,X87] :
      ( ~ c1_1(X86)
      | ~ c0_1(X86)
      | c2_1(X86)
      | ~ ndr1_0
      | ~ c2_1(X87)
      | c3_1(X87)
      | c1_1(X87)
      | ~ c2_1(X88)
      | c1_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ! [X88,X86,X87] :
      ( ~ c1_1(X86)
      | ~ c0_1(X86)
      | c2_1(X86)
      | ~ ndr1_0
      | ~ c2_1(X87)
      | c3_1(X87)
      | c1_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_58
    | spl0_39
    | ~ spl0_16
    | spl0_27 ),
    inference(avatar_split_clause,[],[f188,f330,f284,f382,f469]) ).

fof(f188,plain,
    ! [X82,X80,X81] :
      ( ~ c3_1(X80)
      | ~ c1_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c2_1(X81)
      | c3_1(X81)
      | c1_1(X81)
      | ~ c3_1(X82)
      | c1_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X82,X80,X81] :
      ( ~ c3_1(X80)
      | ~ c1_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c2_1(X81)
      | c3_1(X81)
      | c1_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_58
    | ~ spl0_16
    | spl0_37
    | spl0_18 ),
    inference(avatar_split_clause,[],[f189,f291,f373,f284,f469]) ).

fof(f189,plain,
    ! [X78,X79] :
      ( hskp5
      | ~ c2_1(X78)
      | ~ c0_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c1_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ! [X78,X79] :
      ( hskp5
      | ~ c2_1(X78)
      | ~ c0_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_58
    | ~ spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f190,f299,f284,f469]) ).

fof(f190,plain,
    ! [X76,X77] :
      ( ~ c3_1(X76)
      | ~ c1_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c1_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X76,X77] :
      ( ~ c3_1(X76)
      | ~ c1_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( spl0_56
    | spl0_51
    | ~ spl0_16
    | spl0_42 ),
    inference(avatar_split_clause,[],[f191,f394,f284,f433,f457]) ).

fof(f191,plain,
    ! [X73,X74,X75] :
      ( ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | c3_1(X75)
      | c2_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X73,X74,X75] :
      ( ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | ~ ndr1_0
      | c3_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_56
    | ~ spl0_16
    | spl0_45
    | spl0_31 ),
    inference(avatar_split_clause,[],[f192,f347,f407,f284,f457]) ).

fof(f192,plain,
    ! [X72,X71] :
      ( hskp6
      | ~ c3_1(X71)
      | ~ c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c2_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X72,X71] :
      ( hskp6
      | ~ c3_1(X71)
      | ~ c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_56
    | ~ spl0_16
    | spl0_33
    | spl0_25 ),
    inference(avatar_split_clause,[],[f193,f319,f357,f284,f457]) ).

fof(f193,plain,
    ! [X70,X69] :
      ( hskp0
      | ~ c0_1(X69)
      | c3_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | c3_1(X70)
      | c2_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X70,X69] :
      ( hskp0
      | ~ c0_1(X69)
      | c3_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | c3_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_56
    | ~ spl0_16
    | spl0_57
    | spl0_32 ),
    inference(avatar_split_clause,[],[f194,f352,f462,f284,f457]) ).

fof(f194,plain,
    ! [X68,X67] :
      ( hskp26
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c3_1(X68)
      | c2_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X68,X67] :
      ( hskp26
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c3_1(X68)
      | c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_56
    | ~ spl0_16
    | spl0_20
    | spl0_13 ),
    inference(avatar_split_clause,[],[f195,f270,f299,f284,f457]) ).

fof(f195,plain,
    ! [X65,X66] :
      ( hskp7
      | ~ c3_1(X65)
      | ~ c1_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | c3_1(X66)
      | c2_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X65,X66] :
      ( hskp7
      | ~ c3_1(X65)
      | ~ c1_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | c3_1(X66)
      | c2_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_16
    | spl0_56
    | spl0_11
    | spl0_25 ),
    inference(avatar_split_clause,[],[f138,f319,f261,f457,f284]) ).

fof(f138,plain,
    ! [X64] :
      ( hskp0
      | hskp8
      | c3_1(X64)
      | c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( ~ spl0_16
    | spl0_54
    | spl0_55
    | spl0_8 ),
    inference(avatar_split_clause,[],[f139,f248,f452,f448,f284]) ).

fof(f139,plain,
    ! [X63] :
      ( hskp9
      | hskp1
      | ~ c1_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_53
    | spl0_41
    | ~ spl0_16
    | spl0_27 ),
    inference(avatar_split_clause,[],[f196,f330,f284,f391,f443]) ).

fof(f196,plain,
    ! [X59,X60,X61] :
      ( ~ c3_1(X59)
      | ~ c1_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | c2_1(X60)
      | c1_1(X60)
      | ~ c3_1(X61)
      | c2_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X59,X60,X61] :
      ( ~ c3_1(X59)
      | ~ c1_1(X59)
      | c2_1(X59)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | c2_1(X60)
      | c1_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | c2_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( spl0_53
    | spl0_34
    | ~ spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f197,f357,f284,f361,f443]) ).

fof(f197,plain,
    ! [X58,X56,X57] :
      ( ~ c0_1(X56)
      | c3_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c1_1(X57)
      | ~ c3_1(X58)
      | c2_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X58,X56,X57] :
      ( ~ c0_1(X56)
      | c3_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | c2_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_52
    | spl0_23
    | ~ spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f199,f296,f284,f311,f438]) ).

fof(f199,plain,
    ! [X51,X52,X53] :
      ( ~ c2_1(X51)
      | ~ c1_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | ~ c1_1(X52)
      | ~ c0_1(X52)
      | c3_1(X52)
      | ~ c1_1(X53)
      | c3_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X51,X52,X53] :
      ( ~ c2_1(X51)
      | ~ c1_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | ~ c1_1(X52)
      | ~ c0_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | c3_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_51
    | ~ spl0_16
    | spl0_35
    | spl0_22 ),
    inference(avatar_split_clause,[],[f200,f306,f365,f284,f433]) ).

fof(f200,plain,
    ! [X50,X49] :
      ( hskp27
      | ~ c3_1(X49)
      | ~ c0_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | c3_1(X50)
      | c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X50,X49] :
      ( hskp27
      | ~ c3_1(X49)
      | ~ c0_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | c3_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( spl0_51
    | ~ spl0_16
    | spl0_23
    | spl0_8 ),
    inference(avatar_split_clause,[],[f201,f248,f311,f284,f433]) ).

fof(f201,plain,
    ! [X48,X47] :
      ( hskp9
      | ~ c1_1(X47)
      | ~ c0_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | c3_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X48,X47] :
      ( hskp9
      | ~ c1_1(X47)
      | ~ c0_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | c3_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_47
    | ~ spl0_16
    | spl0_34
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f226,f361,f284,f415]) ).

fof(f203,plain,
    ! [X41,X42] :
      ( hskp13
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | c0_1(X42) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X41,X42] :
      ( hskp13
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( ~ spl0_16
    | spl0_47
    | spl0_48
    | spl0_12 ),
    inference(avatar_split_clause,[],[f150,f266,f419,f415,f284]) ).

fof(f150,plain,
    ! [X40] :
      ( hskp15
      | hskp14
      | ~ c3_1(X40)
      | ~ c1_1(X40)
      | c0_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_16
    | spl0_47
    | spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f151,f235,f244,f415,f284]) ).

fof(f151,plain,
    ! [X39] :
      ( hskp2
      | hskp16
      | ~ c3_1(X39)
      | ~ c1_1(X39)
      | c0_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( spl0_45
    | spl0_41
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f204,f288,f284,f391,f407]) ).

fof(f204,plain,
    ! [X38,X36,X37] :
      ( ~ c3_1(X36)
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ c3_1(X38)
      | ~ c2_1(X38)
      | c0_1(X38) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X38,X36,X37] :
      ( ~ c3_1(X36)
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | ~ c2_1(X38)
      | c0_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( spl0_45
    | ~ spl0_16
    | spl0_46
    | spl0_31 ),
    inference(avatar_split_clause,[],[f205,f347,f410,f284,f407]) ).

fof(f205,plain,
    ! [X34,X35] :
      ( hskp6
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | ~ c2_1(X35)
      | c0_1(X35) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X34,X35] :
      ( hskp6
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | ~ c2_1(X35)
      | c0_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f405,plain,
    ( spl0_43
    | ~ spl0_16
    | spl0_42
    | spl0_25 ),
    inference(avatar_split_clause,[],[f206,f319,f394,f284,f398]) ).

fof(f206,plain,
    ! [X32,X33] :
      ( hskp0
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | c3_1(X33)
      | c2_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X32,X33] :
      ( hskp0
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( spl0_43
    | ~ spl0_16
    | spl0_42
    | spl0_44 ),
    inference(avatar_split_clause,[],[f207,f401,f394,f284,f398]) ).

fof(f207,plain,
    ! [X31,X30] :
      ( hskp17
      | ~ c3_1(X30)
      | ~ c2_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0
      | c3_1(X31)
      | c2_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X31,X30] :
      ( hskp17
      | ~ c3_1(X30)
      | ~ c2_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0
      | c3_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( spl0_41
    | ~ spl0_16
    | spl0_42
    | spl0_2 ),
    inference(avatar_split_clause,[],[f208,f222,f394,f284,f391]) ).

fof(f208,plain,
    ! [X28,X29] :
      ( hskp11
      | ~ c3_1(X28)
      | ~ c2_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c2_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X28,X29] :
      ( hskp11
      | ~ c3_1(X28)
      | ~ c2_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( spl0_40
    | ~ spl0_16
    | spl0_27
    | spl0_32 ),
    inference(avatar_split_clause,[],[f209,f352,f330,f284,f387]) ).

fof(f209,plain,
    ! [X26,X27] :
      ( hskp26
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | c2_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X26,X27] :
      ( hskp26
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | c2_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_39
    | ~ spl0_16
    | spl0_29
    | spl0_38 ),
    inference(avatar_split_clause,[],[f210,f376,f339,f284,f382]) ).

fof(f210,plain,
    ! [X24,X25] :
      ( hskp28
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X24,X25] :
      ( hskp28
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( spl0_39
    | ~ spl0_16
    | spl0_27
    | spl0_15 ),
    inference(avatar_split_clause,[],[f211,f279,f330,f284,f382]) ).

fof(f211,plain,
    ! [X22,X23] :
      ( hskp18
      | ~ c3_1(X22)
      | ~ c1_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | c3_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X22,X23] :
      ( hskp18
      | ~ c3_1(X22)
      | ~ c1_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | c3_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f380,plain,
    ( ~ spl0_16
    | spl0_37
    | spl0_38
    | spl0_12 ),
    inference(avatar_split_clause,[],[f160,f266,f376,f373,f284]) ).

fof(f160,plain,
    ! [X21] :
      ( hskp15
      | hskp28
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f379,plain,
    ( ~ spl0_16
    | spl0_37
    | spl0_38
    | spl0_15 ),
    inference(avatar_split_clause,[],[f161,f279,f376,f373,f284]) ).

fof(f161,plain,
    ! [X20] :
      ( hskp18
      | hskp28
      | ~ c2_1(X20)
      | ~ c0_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( spl0_35
    | ~ spl0_16
    | spl0_34
    | spl0_36 ),
    inference(avatar_split_clause,[],[f212,f368,f361,f284,f365]) ).

fof(f212,plain,
    ! [X18,X19] :
      ( hskp19
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | c1_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X18,X19] :
      ( hskp19
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | c1_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f363,plain,
    ( spl0_34
    | ~ spl0_16
    | spl0_33
    | spl0_22 ),
    inference(avatar_split_clause,[],[f213,f306,f357,f284,f361]) ).

fof(f213,plain,
    ! [X16,X17] :
      ( hskp27
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X16,X17] :
      ( hskp27
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f359,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_12
    | spl0_25 ),
    inference(avatar_split_clause,[],[f164,f319,f266,f357,f284]) ).

fof(f164,plain,
    ! [X15] :
      ( hskp0
      | hskp15
      | ~ c0_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f345,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_14
    | spl0_30 ),
    inference(avatar_split_clause,[],[f167,f342,f275,f339,f284]) ).

fof(f167,plain,
    ! [X11] :
      ( hskp21
      | hskp20
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f337,plain,
    ( ~ spl0_16
    | spl0_27
    | spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f168,f226,f275,f330,f284]) ).

fof(f168,plain,
    ! [X10] :
      ( hskp13
      | hskp20
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f328,plain,
    ( spl0_23
    | ~ spl0_16
    | spl0_20
    | spl0_6 ),
    inference(avatar_split_clause,[],[f215,f239,f299,f284,f311]) ).

fof(f215,plain,
    ! [X8,X7] :
      ( hskp3
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X8,X7] :
      ( hskp3
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( ~ spl0_16
    | spl0_23
    | spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f171,f239,f261,f311,f284]) ).

fof(f171,plain,
    ! [X6] :
      ( hskp3
      | hskp8
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f326,plain,
    ( ~ spl0_16
    | spl0_23
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f172,f323,f319,f311,f284]) ).

fof(f172,plain,
    ! [X5] :
      ( hskp12
      | hskp0
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( ~ spl0_16
    | spl0_23
    | spl0_24
    | spl0_3 ),
    inference(avatar_split_clause,[],[f173,f226,f314,f311,f284]) ).

fof(f173,plain,
    ! [X4] :
      ( hskp13
      | hskp4
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f309,plain,
    ( ~ spl0_16
    | spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f174,f306,f303,f284]) ).

fof(f174,plain,
    ! [X3] :
      ( hskp27
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f301,plain,
    ( spl0_19
    | ~ spl0_16
    | spl0_20
    | spl0_14 ),
    inference(avatar_split_clause,[],[f216,f275,f299,f284,f296]) ).

fof(f216,plain,
    ! [X2,X1] :
      ( hskp20
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X2,X1] :
      ( hskp20
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f294,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_18
    | spl0_6 ),
    inference(avatar_split_clause,[],[f176,f239,f291,f288,f284]) ).

fof(f176,plain,
    ! [X0] :
      ( hskp3
      | hskp5
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f282,plain,
    ( spl0_14
    | spl0_15
    | spl0_9 ),
    inference(avatar_split_clause,[],[f177,f252,f279,f275]) ).

fof(f177,plain,
    ( hskp23
    | hskp18
    | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f273,plain,
    ( spl0_12
    | spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f178,f222,f270,f266]) ).

fof(f178,plain,
    ( hskp11
    | hskp7
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f264,plain,
    ( spl0_10
    | spl0_11
    | spl0_1 ),
    inference(avatar_split_clause,[],[f179,f218,f261,f257]) ).

fof(f179,plain,
    ( hskp10
    | hskp8
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN444+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 17:34:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (27431)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (27432)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (27433)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (27435)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  % (27436)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (27434)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)
% 0.13/0.37  % (27437)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37  % (27438)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)
% 0.13/0.37  Detected minimum model sizes of [1]
% 0.13/0.37  Detected maximum model sizes of [29]
% 0.13/0.37  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  Detected minimum model sizes of [1]
% 0.13/0.38  Detected maximum model sizes of [29]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  Detected minimum model sizes of [1]
% 0.13/0.38  Detected maximum model sizes of [29]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  Detected minimum model sizes of [1]
% 0.13/0.38  Detected maximum model sizes of [29]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  TRYING [4]
% 0.13/0.39  TRYING [3]
% 0.13/0.39  TRYING [4]
% 0.13/0.39  TRYING [4]
% 0.13/0.39  TRYING [4]
% 0.13/0.40  TRYING [5]
% 0.13/0.40  TRYING [5]
% 0.21/0.40  TRYING [5]
% 0.21/0.40  TRYING [5]
% 0.21/0.42  % (27437)First to succeed.
% 0.21/0.43  % (27434)Also succeeded, but the first one will report.
% 0.21/0.43  % (27437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27431"
% 0.21/0.43  % (27437)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (27437)------------------------------
% 0.21/0.44  % (27437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44  % (27437)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (27437)Memory used [KB]: 2221
% 0.21/0.44  % (27437)Time elapsed: 0.064 s
% 0.21/0.44  % (27437)Instructions burned: 112 (million)
% 0.21/0.44  % (27431)Success in time 0.076 s
%------------------------------------------------------------------------------