TSTP Solution File: SYN462+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN462+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 : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:38 EDT 2024

% Result   : Theorem 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  148
% Syntax   : Number of formulae    :  812 (   1 unt;   0 def)
%            Number of atoms       : 6340 (   0 equ)
%            Maximal formula atoms :  593 (   7 avg)
%            Number of connectives : 8534 (3006   ~;3935   |;1098   &)
%                                         ( 147 <=>; 348  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  184 ( 183 usr; 180 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  710 ( 710   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3322,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f240,f253,f262,f311,f312,f324,f333,f345,f354,f366,f370,f371,f375,f382,f386,f390,f391,f399,f403,f405,f409,f410,f414,f422,f423,f431,f436,f440,f441,f446,f451,f457,f461,f472,f477,f478,f479,f487,f491,f517,f522,f527,f528,f549,f554,f559,f565,f570,f575,f581,f586,f591,f618,f623,f629,f634,f639,f645,f650,f655,f661,f666,f671,f677,f682,f687,f693,f698,f703,f709,f714,f719,f725,f730,f735,f741,f746,f751,f757,f762,f767,f773,f778,f783,f789,f794,f799,f805,f810,f815,f816,f837,f842,f847,f848,f853,f858,f863,f869,f874,f879,f885,f890,f895,f901,f906,f911,f917,f922,f927,f933,f938,f943,f949,f954,f959,f965,f970,f975,f981,f986,f991,f1002,f1008,f1027,f1073,f1075,f1098,f1103,f1159,f1186,f1233,f1320,f1326,f1381,f1400,f1461,f1497,f1621,f1667,f1672,f1755,f1784,f1805,f1856,f1888,f1916,f1922,f1927,f1951,f1966,f1967,f1980,f2015,f2084,f2089,f2105,f2170,f2199,f2240,f2244,f2280,f2287,f2321,f2324,f2359,f2371,f2373,f2385,f2403,f2415,f2454,f2457,f2482,f2500,f2554,f2588,f2606,f2623,f2675,f2676,f2723,f2854,f2912,f2924,f2926,f2932,f2937,f2951,f2976,f3006,f3028,f3036,f3038,f3080,f3100,f3103,f3111,f3118,f3184,f3222,f3281,f3301,f3310]) ).

fof(f3310,plain,
    ( ~ spl0_36
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f3309]) ).

fof(f3309,plain,
    ( $false
    | ~ spl0_36
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f3308,f734]) ).

fof(f734,plain,
    ( c0_1(a293)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f732,plain,
    ( spl0_107
  <=> c0_1(a293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3308,plain,
    ( ~ c0_1(a293)
    | ~ spl0_36
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f3291,f724]) ).

fof(f724,plain,
    ( ~ c2_1(a293)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl0_105
  <=> c2_1(a293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3291,plain,
    ( c2_1(a293)
    | ~ c0_1(a293)
    | ~ spl0_36
    | ~ spl0_106 ),
    inference(resolution,[],[f374,f729]) ).

fof(f729,plain,
    ( c1_1(a293)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl0_106
  <=> c1_1(a293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f374,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl0_36
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f3301,plain,
    ( ~ spl0_36
    | spl0_144
    | ~ spl0_146
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3300]) ).

fof(f3300,plain,
    ( $false
    | ~ spl0_36
    | spl0_144
    | ~ spl0_146
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f3299,f942]) ).

fof(f942,plain,
    ( c0_1(a270)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_146
  <=> c0_1(a270) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3299,plain,
    ( ~ c0_1(a270)
    | ~ spl0_36
    | spl0_144
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f3285,f932]) ).

fof(f932,plain,
    ( ~ c2_1(a270)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_144
  <=> c2_1(a270) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3285,plain,
    ( c2_1(a270)
    | ~ c0_1(a270)
    | ~ spl0_36
    | ~ spl0_163 ),
    inference(resolution,[],[f374,f1366]) ).

fof(f1366,plain,
    ( c1_1(a270)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1365,plain,
    ( spl0_163
  <=> c1_1(a270) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3281,plain,
    ( ~ spl0_23
    | ~ spl0_38
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f3280]) ).

fof(f3280,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f3268,f521]) ).

fof(f521,plain,
    ( c1_1(a304)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f519,plain,
    ( spl0_67
  <=> c1_1(a304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3268,plain,
    ( ~ c1_1(a304)
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(resolution,[],[f3256,f516]) ).

fof(f516,plain,
    ( c2_1(a304)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f514,plain,
    ( spl0_66
  <=> c2_1(a304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3256,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | ~ c1_1(X14) )
    | ~ spl0_23
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f381,f319]) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f381,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | c3_1(X14)
        | ~ c1_1(X14) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl0_38
  <=> ! [X14] :
        ( ~ c2_1(X14)
        | c3_1(X14)
        | ~ c1_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f3222,plain,
    ( ~ spl0_44
    | ~ spl0_61
    | spl0_85
    | spl0_86 ),
    inference(avatar_contradiction_clause,[],[f3221]) ).

fof(f3221,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_61
    | spl0_85
    | spl0_86 ),
    inference(subsumption_resolution,[],[f3216,f617]) ).

fof(f617,plain,
    ( ~ c2_1(a313)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl0_85
  <=> c2_1(a313) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f3216,plain,
    ( c2_1(a313)
    | ~ spl0_44
    | ~ spl0_61
    | spl0_86 ),
    inference(resolution,[],[f3206,f622]) ).

fof(f622,plain,
    ( ~ c1_1(a313)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl0_86
  <=> c1_1(a313) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3206,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | c2_1(X80) )
    | ~ spl0_44
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f490,f408]) ).

fof(f408,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29)
        | c2_1(X29) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f407,plain,
    ( spl0_44
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29)
        | c2_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f490,plain,
    ( ! [X80] :
        ( c2_1(X80)
        | c0_1(X80)
        | c1_1(X80) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f489,plain,
    ( spl0_61
  <=> ! [X80] :
        ( c2_1(X80)
        | c0_1(X80)
        | c1_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3184,plain,
    ( spl0_112
    | ~ spl0_47
    | ~ spl0_53
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3162,f764,f449,f420,f759]) ).

fof(f759,plain,
    ( spl0_112
  <=> c0_1(a287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f420,plain,
    ( spl0_47
  <=> ! [X37] :
        ( ~ c3_1(X37)
        | c0_1(X37)
        | ~ c1_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f449,plain,
    ( spl0_53
  <=> ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | c3_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f764,plain,
    ( spl0_113
  <=> c1_1(a287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3162,plain,
    ( c0_1(a287)
    | ~ spl0_47
    | ~ spl0_53
    | ~ spl0_113 ),
    inference(resolution,[],[f3120,f766]) ).

fof(f766,plain,
    ( c1_1(a287)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f3120,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52) )
    | ~ spl0_47
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f450,f421]) ).

fof(f421,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c0_1(X37)
        | ~ c1_1(X37) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f450,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | c3_1(X52) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f3118,plain,
    ( spl0_147
    | spl0_148
    | ~ spl0_44
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2994,f956,f407,f951,f946]) ).

fof(f946,plain,
    ( spl0_147
  <=> c2_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f951,plain,
    ( spl0_148
  <=> c1_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f956,plain,
    ( spl0_149
  <=> c0_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2994,plain,
    ( c1_1(a269)
    | c2_1(a269)
    | ~ spl0_44
    | ~ spl0_149 ),
    inference(resolution,[],[f408,f958]) ).

fof(f958,plain,
    ( c0_1(a269)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f3111,plain,
    ( ~ spl0_171
    | spl0_108
    | ~ spl0_47
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3016,f743,f420,f738,f1948]) ).

fof(f1948,plain,
    ( spl0_171
  <=> c1_1(a291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f738,plain,
    ( spl0_108
  <=> c0_1(a291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f743,plain,
    ( spl0_109
  <=> c3_1(a291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3016,plain,
    ( c0_1(a291)
    | ~ c1_1(a291)
    | ~ spl0_47
    | ~ spl0_109 ),
    inference(resolution,[],[f421,f745]) ).

fof(f745,plain,
    ( c3_1(a291)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f3103,plain,
    ( ~ spl0_56
    | spl0_129
    | spl0_130
    | spl0_131 ),
    inference(avatar_contradiction_clause,[],[f3102]) ).

fof(f3102,plain,
    ( $false
    | ~ spl0_56
    | spl0_129
    | spl0_130
    | spl0_131 ),
    inference(subsumption_resolution,[],[f3101,f857]) ).

fof(f857,plain,
    ( ~ c2_1(a275)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f855,plain,
    ( spl0_130
  <=> c2_1(a275) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3101,plain,
    ( c2_1(a275)
    | ~ spl0_56
    | spl0_129
    | spl0_131 ),
    inference(subsumption_resolution,[],[f3090,f862]) ).

fof(f862,plain,
    ( ~ c0_1(a275)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_131
  <=> c0_1(a275) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f3090,plain,
    ( c0_1(a275)
    | c2_1(a275)
    | ~ spl0_56
    | spl0_129 ),
    inference(resolution,[],[f465,f852]) ).

fof(f852,plain,
    ( ~ c3_1(a275)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_129
  <=> c3_1(a275) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f465,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | c0_1(X64)
        | c2_1(X64) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl0_56
  <=> ! [X64] :
        ( c3_1(X64)
        | c0_1(X64)
        | c2_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3100,plain,
    ( spl0_55
    | ~ spl0_47
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f3099,f464,f420,f459]) ).

fof(f459,plain,
    ( spl0_55
  <=> ! [X60] :
        ( ~ c1_1(X60)
        | c0_1(X60)
        | c2_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3099,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_47
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f3084]) ).

fof(f3084,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_47
    | ~ spl0_56 ),
    inference(resolution,[],[f465,f421]) ).

fof(f3080,plain,
    ( ~ spl0_54
    | ~ spl0_56
    | spl0_75
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f3079]) ).

fof(f3079,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_56
    | spl0_75
    | spl0_77 ),
    inference(subsumption_resolution,[],[f3074,f574]) ).

fof(f574,plain,
    ( ~ c0_1(a356)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_77
  <=> c0_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f3074,plain,
    ( c0_1(a356)
    | ~ spl0_54
    | ~ spl0_56
    | spl0_75 ),
    inference(resolution,[],[f3062,f564]) ).

fof(f564,plain,
    ( ~ c2_1(a356)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl0_75
  <=> c2_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f3062,plain,
    ( ! [X64] :
        ( c2_1(X64)
        | c0_1(X64) )
    | ~ spl0_54
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f465,f454]) ).

fof(f454,plain,
    ( ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | c2_1(X54) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f453,plain,
    ( spl0_54
  <=> ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | c2_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f3038,plain,
    ( spl0_114
    | ~ spl0_47
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3037,f780,f775,f420,f770]) ).

fof(f770,plain,
    ( spl0_114
  <=> c0_1(a286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f775,plain,
    ( spl0_115
  <=> c3_1(a286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f780,plain,
    ( spl0_116
  <=> c1_1(a286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3037,plain,
    ( c0_1(a286)
    | ~ spl0_47
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f3014,f782]) ).

fof(f782,plain,
    ( c1_1(a286)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f3014,plain,
    ( c0_1(a286)
    | ~ c1_1(a286)
    | ~ spl0_47
    | ~ spl0_115 ),
    inference(resolution,[],[f421,f777]) ).

fof(f777,plain,
    ( c3_1(a286)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f3036,plain,
    ( spl0_173
    | ~ spl0_47
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f3035,f556,f546,f420,f2022]) ).

fof(f2022,plain,
    ( spl0_173
  <=> c0_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f546,plain,
    ( spl0_72
  <=> c3_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f556,plain,
    ( spl0_74
  <=> c1_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3035,plain,
    ( c0_1(a276)
    | ~ spl0_47
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f3021,f558]) ).

fof(f558,plain,
    ( c1_1(a276)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f3021,plain,
    ( c0_1(a276)
    | ~ c1_1(a276)
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(resolution,[],[f421,f548]) ).

fof(f548,plain,
    ( c3_1(a276)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f3028,plain,
    ( ~ spl0_47
    | spl0_112
    | ~ spl0_113
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3027]) ).

fof(f3027,plain,
    ( $false
    | ~ spl0_47
    | spl0_112
    | ~ spl0_113
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3026,f766]) ).

fof(f3026,plain,
    ( ~ c1_1(a287)
    | ~ spl0_47
    | spl0_112
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3015,f761]) ).

fof(f761,plain,
    ( ~ c0_1(a287)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f3015,plain,
    ( c0_1(a287)
    | ~ c1_1(a287)
    | ~ spl0_47
    | ~ spl0_162 ),
    inference(resolution,[],[f421,f1351]) ).

fof(f1351,plain,
    ( c3_1(a287)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1350]) ).

fof(f1350,plain,
    ( spl0_162
  <=> c3_1(a287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f3006,plain,
    ( spl0_163
    | ~ spl0_44
    | spl0_144
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3005,f940,f930,f407,f1365]) ).

fof(f3005,plain,
    ( c1_1(a270)
    | ~ spl0_44
    | spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2995,f932]) ).

fof(f2995,plain,
    ( c1_1(a270)
    | c2_1(a270)
    | ~ spl0_44
    | ~ spl0_146 ),
    inference(resolution,[],[f408,f942]) ).

fof(f2976,plain,
    ( spl0_163
    | ~ spl0_37
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2975,f940,f935,f377,f1365]) ).

fof(f377,plain,
    ( spl0_37
  <=> ! [X15] :
        ( ~ c3_1(X15)
        | c1_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f935,plain,
    ( spl0_145
  <=> c3_1(a270) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2975,plain,
    ( c1_1(a270)
    | ~ spl0_37
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2967,f937]) ).

fof(f937,plain,
    ( c3_1(a270)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f2967,plain,
    ( c1_1(a270)
    | ~ c3_1(a270)
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(resolution,[],[f378,f942]) ).

fof(f378,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c1_1(X15)
        | ~ c3_1(X15) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f2951,plain,
    ( ~ spl0_157
    | ~ spl0_30
    | spl0_132
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2950,f876,f866,f347,f1190]) ).

fof(f1190,plain,
    ( spl0_157
  <=> c2_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f347,plain,
    ( spl0_30
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f866,plain,
    ( spl0_132
  <=> c3_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f876,plain,
    ( spl0_134
  <=> c0_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2950,plain,
    ( ~ c2_1(a274)
    | ~ spl0_30
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2942,f868]) ).

fof(f868,plain,
    ( ~ c3_1(a274)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f2942,plain,
    ( c3_1(a274)
    | ~ c2_1(a274)
    | ~ spl0_30
    | ~ spl0_134 ),
    inference(resolution,[],[f348,f878]) ).

fof(f878,plain,
    ( c0_1(a274)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f348,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f2937,plain,
    ( spl0_157
    | ~ spl0_45
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2936,f871,f866,f412,f1190]) ).

fof(f412,plain,
    ( spl0_45
  <=> ! [X32] :
        ( ~ c1_1(X32)
        | c2_1(X32)
        | c3_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f871,plain,
    ( spl0_133
  <=> c1_1(a274) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2936,plain,
    ( c2_1(a274)
    | ~ spl0_45
    | spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2935,f868]) ).

fof(f2935,plain,
    ( c2_1(a274)
    | c3_1(a274)
    | ~ spl0_45
    | ~ spl0_133 ),
    inference(resolution,[],[f873,f413]) ).

fof(f413,plain,
    ( ! [X32] :
        ( ~ c1_1(X32)
        | c2_1(X32)
        | c3_1(X32) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f873,plain,
    ( c1_1(a274)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f2932,plain,
    ( ~ spl0_74
    | ~ spl0_23
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2931,f551,f546,f318,f556]) ).

fof(f551,plain,
    ( spl0_73
  <=> c2_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2931,plain,
    ( ~ c1_1(a276)
    | ~ spl0_23
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f2793,f553]) ).

fof(f553,plain,
    ( c2_1(a276)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f2793,plain,
    ( ~ c1_1(a276)
    | ~ c2_1(a276)
    | ~ spl0_23
    | ~ spl0_72 ),
    inference(resolution,[],[f548,f319]) ).

fof(f2926,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_113
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2925]) ).

fof(f2925,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_113
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2918,f766]) ).

fof(f2918,plain,
    ( ~ c1_1(a287)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_162 ),
    inference(resolution,[],[f2899,f1351]) ).

fof(f2899,plain,
    ( ! [X9] :
        ( ~ c3_1(X9)
        | ~ c1_1(X9) )
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f365,f319]) ).

fof(f365,plain,
    ( ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c1_1(X9) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl0_34
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c1_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2924,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2923]) ).

fof(f2923,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f2917,f782]) ).

fof(f2917,plain,
    ( ~ c1_1(a286)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_115 ),
    inference(resolution,[],[f2899,f777]) ).

fof(f2912,plain,
    ( spl0_175
    | ~ spl0_39
    | spl0_147
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2911,f956,f946,f384,f2065]) ).

fof(f2065,plain,
    ( spl0_175
  <=> c3_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f384,plain,
    ( spl0_39
  <=> ! [X16] :
        ( ~ c0_1(X16)
        | c2_1(X16)
        | c3_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2911,plain,
    ( c3_1(a269)
    | ~ spl0_39
    | spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2909,f948]) ).

fof(f948,plain,
    ( ~ c2_1(a269)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f2909,plain,
    ( c2_1(a269)
    | c3_1(a269)
    | ~ spl0_39
    | ~ spl0_149 ),
    inference(resolution,[],[f958,f385]) ).

fof(f385,plain,
    ( ! [X16] :
        ( ~ c0_1(X16)
        | c2_1(X16)
        | c3_1(X16) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f2854,plain,
    ( ~ spl0_26
    | ~ spl0_72
    | ~ spl0_74
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2853]) ).

fof(f2853,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_72
    | ~ spl0_74
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2852,f558]) ).

fof(f2852,plain,
    ( ~ c1_1(a276)
    | ~ spl0_26
    | ~ spl0_72
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2846,f548]) ).

fof(f2846,plain,
    ( ~ c3_1(a276)
    | ~ c1_1(a276)
    | ~ spl0_26
    | ~ spl0_173 ),
    inference(resolution,[],[f2024,f332]) ).

fof(f332,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl0_26
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2024,plain,
    ( c0_1(a276)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2022]) ).

fof(f2723,plain,
    ( ~ spl0_163
    | ~ spl0_26
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2722,f940,f935,f331,f1365]) ).

fof(f2722,plain,
    ( ~ c1_1(a270)
    | ~ spl0_26
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2716,f937]) ).

fof(f2716,plain,
    ( ~ c3_1(a270)
    | ~ c1_1(a270)
    | ~ spl0_26
    | ~ spl0_146 ),
    inference(resolution,[],[f332,f942]) ).

fof(f2676,plain,
    ( ~ spl0_163
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2642,f940,f373,f335,f1365]) ).

fof(f335,plain,
    ( spl0_27
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2642,plain,
    ( ~ c1_1(a270)
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_146 ),
    inference(resolution,[],[f2638,f942]) ).

fof(f2638,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f374,f336]) ).

fof(f336,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c2_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f2675,plain,
    ( ~ spl0_133
    | ~ spl0_157
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2612,f876,f335,f1190,f871]) ).

fof(f2612,plain,
    ( ~ c2_1(a274)
    | ~ c1_1(a274)
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(resolution,[],[f336,f878]) ).

fof(f2623,plain,
    ( ~ spl0_27
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2622]) ).

fof(f2622,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2621,f686]) ).

fof(f686,plain,
    ( c1_1(a303)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f684,plain,
    ( spl0_98
  <=> c1_1(a303) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2621,plain,
    ( ~ c1_1(a303)
    | ~ spl0_27
    | ~ spl0_97
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2615,f681]) ).

fof(f681,plain,
    ( c2_1(a303)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_97
  <=> c2_1(a303) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2615,plain,
    ( ~ c2_1(a303)
    | ~ c1_1(a303)
    | ~ spl0_27
    | ~ spl0_169 ),
    inference(resolution,[],[f336,f1926]) ).

fof(f1926,plain,
    ( c0_1(a303)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1924]) ).

fof(f1924,plain,
    ( spl0_169
  <=> c0_1(a303) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2606,plain,
    ( spl0_159
    | ~ spl0_51
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2605,f812,f807,f438,f1298]) ).

fof(f1298,plain,
    ( spl0_159
  <=> c3_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f438,plain,
    ( spl0_51
  <=> ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | c3_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f807,plain,
    ( spl0_121
  <=> c0_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f812,plain,
    ( spl0_122
  <=> c2_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2605,plain,
    ( c3_1(a282)
    | ~ spl0_51
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2604,f809]) ).

fof(f809,plain,
    ( ~ c0_1(a282)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f2604,plain,
    ( c0_1(a282)
    | c3_1(a282)
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(resolution,[],[f814,f439]) ).

fof(f439,plain,
    ( ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | c3_1(X46) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f814,plain,
    ( c2_1(a282)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f2588,plain,
    ( ~ spl0_37
    | ~ spl0_58
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2587]) ).

fof(f2587,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_58
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2586,f841]) ).

fof(f841,plain,
    ( c3_1(a280)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_127
  <=> c3_1(a280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2586,plain,
    ( ~ c3_1(a280)
    | ~ spl0_37
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2585,f836]) ).

fof(f836,plain,
    ( ~ c1_1(a280)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_126
  <=> c1_1(a280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2585,plain,
    ( c1_1(a280)
    | ~ c3_1(a280)
    | ~ spl0_37
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128 ),
    inference(resolution,[],[f2430,f378]) ).

fof(f2430,plain,
    ( c0_1(a280)
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2418,f836]) ).

fof(f2418,plain,
    ( c0_1(a280)
    | c1_1(a280)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f475,f846]) ).

fof(f846,plain,
    ( c2_1(a280)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_128
  <=> c2_1(a280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f475,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | c0_1(X70)
        | c1_1(X70) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl0_58
  <=> ! [X70] :
        ( ~ c2_1(X70)
        | c0_1(X70)
        | c1_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2554,plain,
    ( ~ spl0_58
    | ~ spl0_61
    | spl0_76
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f2553]) ).

fof(f2553,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_61
    | spl0_76
    | spl0_77 ),
    inference(subsumption_resolution,[],[f2552,f574]) ).

fof(f2552,plain,
    ( c0_1(a356)
    | ~ spl0_58
    | ~ spl0_61
    | spl0_76 ),
    inference(resolution,[],[f2538,f569]) ).

fof(f569,plain,
    ( ~ c1_1(a356)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl0_76
  <=> c1_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2538,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | c0_1(X80) )
    | ~ spl0_58
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f490,f475]) ).

fof(f2500,plain,
    ( ~ spl0_26
    | ~ spl0_37
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2499]) ).

fof(f2499,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_37
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2489,f937]) ).

fof(f2489,plain,
    ( ~ c3_1(a270)
    | ~ spl0_26
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(resolution,[],[f2465,f942]) ).

fof(f2465,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_26
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f332,f378]) ).

fof(f2482,plain,
    ( ~ spl0_34
    | ~ spl0_43
    | spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2481]) ).

fof(f2481,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_43
    | spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2469,f932]) ).

fof(f2469,plain,
    ( c2_1(a270)
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_145 ),
    inference(resolution,[],[f2464,f937]) ).

fof(f2464,plain,
    ( ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9) )
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f365,f402]) ).

fof(f402,plain,
    ( ! [X23] :
        ( c1_1(X23)
        | ~ c3_1(X23)
        | c2_1(X23) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f401,plain,
    ( spl0_43
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | c2_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2457,plain,
    ( ~ spl0_59
    | spl0_129
    | spl0_131
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2456]) ).

fof(f2456,plain,
    ( $false
    | ~ spl0_59
    | spl0_129
    | spl0_131
    | spl0_167 ),
    inference(subsumption_resolution,[],[f2455,f852]) ).

fof(f2455,plain,
    ( c3_1(a275)
    | ~ spl0_59
    | spl0_131
    | spl0_167 ),
    inference(subsumption_resolution,[],[f2442,f862]) ).

fof(f2442,plain,
    ( c0_1(a275)
    | c3_1(a275)
    | ~ spl0_59
    | spl0_167 ),
    inference(resolution,[],[f482,f1820]) ).

fof(f1820,plain,
    ( ~ c1_1(a275)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1819]) ).

fof(f1819,plain,
    ( spl0_167
  <=> c1_1(a275) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f482,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | c0_1(X79)
        | c3_1(X79) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_59
  <=> ! [X79] :
        ( c3_1(X79)
        | c0_1(X79)
        | c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2454,plain,
    ( ~ spl0_59
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2453]) ).

fof(f2453,plain,
    ( $false
    | ~ spl0_59
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(subsumption_resolution,[],[f2452,f916]) ).

fof(f916,plain,
    ( ~ c3_1(a271)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl0_141
  <=> c3_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2452,plain,
    ( c3_1(a271)
    | ~ spl0_59
    | spl0_142
    | spl0_143 ),
    inference(subsumption_resolution,[],[f2440,f926]) ).

fof(f926,plain,
    ( ~ c0_1(a271)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_143
  <=> c0_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2440,plain,
    ( c0_1(a271)
    | c3_1(a271)
    | ~ spl0_59
    | spl0_142 ),
    inference(resolution,[],[f482,f921]) ).

fof(f921,plain,
    ( ~ c1_1(a271)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_142
  <=> c1_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2415,plain,
    ( spl0_173
    | ~ spl0_48
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2414,f556,f551,f425,f2022]) ).

fof(f425,plain,
    ( spl0_48
  <=> ! [X40] :
        ( ~ c2_1(X40)
        | c0_1(X40)
        | ~ c1_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2414,plain,
    ( c0_1(a276)
    | ~ spl0_48
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f2398,f558]) ).

fof(f2398,plain,
    ( c0_1(a276)
    | ~ c1_1(a276)
    | ~ spl0_48
    | ~ spl0_73 ),
    inference(resolution,[],[f426,f553]) ).

fof(f426,plain,
    ( ! [X40] :
        ( ~ c2_1(X40)
        | c0_1(X40)
        | ~ c1_1(X40) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f2403,plain,
    ( ~ spl0_48
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2402]) ).

fof(f2402,plain,
    ( $false
    | ~ spl0_48
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2401,f894]) ).

fof(f894,plain,
    ( c1_1(a273)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl0_137
  <=> c1_1(a273) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2401,plain,
    ( ~ c1_1(a273)
    | ~ spl0_48
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2389,f884]) ).

fof(f884,plain,
    ( ~ c0_1(a273)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_135
  <=> c0_1(a273) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2389,plain,
    ( c0_1(a273)
    | ~ c1_1(a273)
    | ~ spl0_48
    | ~ spl0_136 ),
    inference(resolution,[],[f426,f889]) ).

fof(f889,plain,
    ( c2_1(a273)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_136
  <=> c2_1(a273) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2385,plain,
    ( spl0_170
    | ~ spl0_51
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2384,f887,f882,f438,f1929]) ).

fof(f1929,plain,
    ( spl0_170
  <=> c3_1(a273) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2384,plain,
    ( c3_1(a273)
    | ~ spl0_51
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2383,f884]) ).

fof(f2383,plain,
    ( c0_1(a273)
    | c3_1(a273)
    | ~ spl0_51
    | ~ spl0_136 ),
    inference(resolution,[],[f889,f439]) ).

fof(f2373,plain,
    ( spl0_147
    | ~ spl0_175
    | ~ spl0_43
    | spl0_148 ),
    inference(avatar_split_clause,[],[f2091,f951,f401,f2065,f946]) ).

fof(f2091,plain,
    ( ~ c3_1(a269)
    | c2_1(a269)
    | ~ spl0_43
    | spl0_148 ),
    inference(resolution,[],[f402,f953]) ).

fof(f953,plain,
    ( ~ c1_1(a269)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f2371,plain,
    ( spl0_156
    | ~ spl0_43
    | spl0_102
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2370,f716,f706,f401,f1052]) ).

fof(f1052,plain,
    ( spl0_156
  <=> c2_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f706,plain,
    ( spl0_102
  <=> c1_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f716,plain,
    ( spl0_104
  <=> c3_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2370,plain,
    ( c2_1(a295)
    | ~ spl0_43
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f2095,f718]) ).

fof(f718,plain,
    ( c3_1(a295)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f2095,plain,
    ( ~ c3_1(a295)
    | c2_1(a295)
    | ~ spl0_43
    | spl0_102 ),
    inference(resolution,[],[f402,f708]) ).

fof(f708,plain,
    ( ~ c1_1(a295)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f2359,plain,
    ( ~ spl0_27
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2358]) ).

fof(f2358,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2357,f558]) ).

fof(f2357,plain,
    ( ~ c1_1(a276)
    | ~ spl0_27
    | ~ spl0_73
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2354,f553]) ).

fof(f2354,plain,
    ( ~ c2_1(a276)
    | ~ c1_1(a276)
    | ~ spl0_27
    | ~ spl0_173 ),
    inference(resolution,[],[f2024,f336]) ).

fof(f2324,plain,
    ( ~ spl0_47
    | spl0_135
    | ~ spl0_137
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f2323]) ).

fof(f2323,plain,
    ( $false
    | ~ spl0_47
    | spl0_135
    | ~ spl0_137
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2322,f894]) ).

fof(f2322,plain,
    ( ~ c1_1(a273)
    | ~ spl0_47
    | spl0_135
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2306,f884]) ).

fof(f2306,plain,
    ( c0_1(a273)
    | ~ c1_1(a273)
    | ~ spl0_47
    | ~ spl0_170 ),
    inference(resolution,[],[f421,f1931]) ).

fof(f1931,plain,
    ( c3_1(a273)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1929]) ).

fof(f2321,plain,
    ( spl0_48
    | ~ spl0_30
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2302,f438,f420,f347,f425]) ).

fof(f2302,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(resolution,[],[f421,f1934]) ).

fof(f1934,plain,
    ( ! [X4] :
        ( c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f348,f439]) ).

fof(f2287,plain,
    ( ~ spl0_58
    | spl0_102
    | spl0_103
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2286]) ).

fof(f2286,plain,
    ( $false
    | ~ spl0_58
    | spl0_102
    | spl0_103
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2285,f708]) ).

fof(f2285,plain,
    ( c1_1(a295)
    | ~ spl0_58
    | spl0_103
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2264,f713]) ).

fof(f713,plain,
    ( ~ c0_1(a295)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f711,plain,
    ( spl0_103
  <=> c0_1(a295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2264,plain,
    ( c0_1(a295)
    | c1_1(a295)
    | ~ spl0_58
    | ~ spl0_156 ),
    inference(resolution,[],[f475,f1053]) ).

fof(f1053,plain,
    ( c2_1(a295)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f2280,plain,
    ( ~ spl0_58
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2279]) ).

fof(f2279,plain,
    ( $false
    | ~ spl0_58
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2278,f804]) ).

fof(f804,plain,
    ( ~ c1_1(a282)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f802,plain,
    ( spl0_120
  <=> c1_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2278,plain,
    ( c1_1(a282)
    | ~ spl0_58
    | spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2261,f809]) ).

fof(f2261,plain,
    ( c0_1(a282)
    | c1_1(a282)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f475,f814]) ).

fof(f2244,plain,
    ( ~ spl0_37
    | ~ spl0_57
    | spl0_120
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2243]) ).

fof(f2243,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_57
    | spl0_120
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2227,f1299]) ).

fof(f1299,plain,
    ( c3_1(a282)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f2227,plain,
    ( ~ c3_1(a282)
    | ~ spl0_37
    | ~ spl0_57
    | spl0_120 ),
    inference(resolution,[],[f2219,f804]) ).

fof(f2219,plain,
    ( ! [X65] :
        ( c1_1(X65)
        | ~ c3_1(X65) )
    | ~ spl0_37
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f469,f378]) ).

fof(f469,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | c1_1(X65) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_57
  <=> ! [X65] :
        ( ~ c3_1(X65)
        | c0_1(X65)
        | c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2240,plain,
    ( ~ spl0_37
    | ~ spl0_57
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2239]) ).

fof(f2239,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_57
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2225,f841]) ).

fof(f2225,plain,
    ( ~ c3_1(a280)
    | ~ spl0_37
    | ~ spl0_57
    | spl0_126 ),
    inference(resolution,[],[f2219,f836]) ).

fof(f2199,plain,
    ( ~ spl0_53
    | spl0_93
    | spl0_94
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f2198]) ).

fof(f2198,plain,
    ( $false
    | ~ spl0_53
    | spl0_93
    | spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f2197,f660]) ).

fof(f660,plain,
    ( ~ c3_1(a305)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f658,plain,
    ( spl0_93
  <=> c3_1(a305) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2197,plain,
    ( c3_1(a305)
    | ~ spl0_53
    | spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f2192,f665]) ).

fof(f665,plain,
    ( ~ c0_1(a305)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f663,plain,
    ( spl0_94
  <=> c0_1(a305) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2192,plain,
    ( c0_1(a305)
    | c3_1(a305)
    | ~ spl0_53
    | ~ spl0_95 ),
    inference(resolution,[],[f450,f670]) ).

fof(f670,plain,
    ( c1_1(a305)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f668,plain,
    ( spl0_95
  <=> c1_1(a305) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2170,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2169]) ).

fof(f2169,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_44
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2162,f905]) ).

fof(f905,plain,
    ( ~ c1_1(a272)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl0_139
  <=> c1_1(a272) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2162,plain,
    ( c1_1(a272)
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(resolution,[],[f2158,f910]) ).

fof(f910,plain,
    ( c0_1(a272)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl0_140
  <=> c0_1(a272) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2158,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29) )
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f408,f389]) ).

fof(f389,plain,
    ( ! [X18] :
        ( c1_1(X18)
        | ~ c2_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl0_40
  <=> ! [X18] :
        ( ~ c2_1(X18)
        | c1_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2105,plain,
    ( spl0_150
    | ~ spl0_43
    | spl0_151
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2101,f972,f967,f401,f962]) ).

fof(f962,plain,
    ( spl0_150
  <=> c2_1(a268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f967,plain,
    ( spl0_151
  <=> c1_1(a268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f972,plain,
    ( spl0_152
  <=> c3_1(a268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2101,plain,
    ( c2_1(a268)
    | ~ spl0_43
    | spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2090,f974]) ).

fof(f974,plain,
    ( c3_1(a268)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f2090,plain,
    ( ~ c3_1(a268)
    | c2_1(a268)
    | ~ spl0_43
    | spl0_151 ),
    inference(resolution,[],[f402,f969]) ).

fof(f969,plain,
    ( ~ c1_1(a268)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f2089,plain,
    ( ~ spl0_166
    | ~ spl0_30
    | ~ spl0_51
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2088,f658,f438,f347,f1669]) ).

fof(f1669,plain,
    ( spl0_166
  <=> c2_1(a305) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2088,plain,
    ( ~ c2_1(a305)
    | ~ spl0_30
    | ~ spl0_51
    | spl0_93 ),
    inference(resolution,[],[f660,f1934]) ).

fof(f2084,plain,
    ( ~ spl0_41
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2083]) ).

fof(f2083,plain,
    ( $false
    | ~ spl0_41
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2082,f900]) ).

fof(f900,plain,
    ( ~ c3_1(a272)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_138
  <=> c3_1(a272) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2082,plain,
    ( c3_1(a272)
    | ~ spl0_41
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2072,f905]) ).

fof(f2072,plain,
    ( c1_1(a272)
    | c3_1(a272)
    | ~ spl0_41
    | ~ spl0_140 ),
    inference(resolution,[],[f394,f910]) ).

fof(f394,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c1_1(X22)
        | c3_1(X22) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f393,plain,
    ( spl0_41
  <=> ! [X22] :
        ( ~ c0_1(X22)
        | c1_1(X22)
        | c3_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2015,plain,
    ( ~ spl0_67
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1994,f514,f438,f347,f318,f519]) ).

fof(f1994,plain,
    ( ~ c1_1(a304)
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_66 ),
    inference(resolution,[],[f1982,f516]) ).

fof(f1982,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f319,f1934]) ).

fof(f1980,plain,
    ( ~ spl0_166
    | ~ spl0_30
    | ~ spl0_51
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1973,f658,f438,f347,f1669]) ).

fof(f1973,plain,
    ( ~ c2_1(a305)
    | ~ spl0_30
    | ~ spl0_51
    | spl0_93 ),
    inference(resolution,[],[f1934,f660]) ).

fof(f1967,plain,
    ( spl0_130
    | spl0_131
    | ~ spl0_55
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1875,f1819,f459,f860,f855]) ).

fof(f1875,plain,
    ( c0_1(a275)
    | c2_1(a275)
    | ~ spl0_55
    | ~ spl0_167 ),
    inference(resolution,[],[f1821,f460]) ).

fof(f460,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | c0_1(X60)
        | c2_1(X60) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f1821,plain,
    ( c1_1(a275)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1819]) ).

fof(f1966,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | ~ spl0_59
    | spl0_76
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1965,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_59
    | spl0_76
    | spl0_77 ),
    inference(subsumption_resolution,[],[f1963,f574]) ).

fof(f1963,plain,
    ( c0_1(a356)
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_59
    | spl0_76 ),
    inference(resolution,[],[f1933,f569]) ).

fof(f1933,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | c0_1(X79) )
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f482,f1401]) ).

fof(f1401,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f402,f369]) ).

fof(f369,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | c1_1(X10)
        | ~ c2_1(X10) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f368,plain,
    ( spl0_35
  <=> ! [X10] :
        ( ~ c3_1(X10)
        | c1_1(X10)
        | ~ c2_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1951,plain,
    ( ~ spl0_110
    | spl0_171
    | ~ spl0_35
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1946,f743,f368,f1948,f748]) ).

fof(f748,plain,
    ( spl0_110
  <=> c2_1(a291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1946,plain,
    ( c1_1(a291)
    | ~ c2_1(a291)
    | ~ spl0_35
    | ~ spl0_109 ),
    inference(resolution,[],[f745,f369]) ).

fof(f1927,plain,
    ( spl0_96
    | spl0_169
    | ~ spl0_51
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1722,f679,f438,f1924,f674]) ).

fof(f674,plain,
    ( spl0_96
  <=> c3_1(a303) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1722,plain,
    ( c0_1(a303)
    | c3_1(a303)
    | ~ spl0_51
    | ~ spl0_97 ),
    inference(resolution,[],[f439,f681]) ).

fof(f1922,plain,
    ( ~ spl0_45
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1921]) ).

fof(f1921,plain,
    ( $false
    | ~ spl0_45
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1920,f580]) ).

fof(f580,plain,
    ( ~ c3_1(a352)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f578,plain,
    ( spl0_78
  <=> c3_1(a352) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1920,plain,
    ( c3_1(a352)
    | ~ spl0_45
    | spl0_79
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1906,f585]) ).

fof(f585,plain,
    ( ~ c2_1(a352)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f583,plain,
    ( spl0_79
  <=> c2_1(a352) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1906,plain,
    ( c2_1(a352)
    | c3_1(a352)
    | ~ spl0_45
    | ~ spl0_80 ),
    inference(resolution,[],[f413,f590]) ).

fof(f590,plain,
    ( c1_1(a352)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f588,plain,
    ( spl0_80
  <=> c1_1(a352) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1916,plain,
    ( spl0_162
    | ~ spl0_45
    | spl0_111
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1915,f764,f754,f412,f1350]) ).

fof(f754,plain,
    ( spl0_111
  <=> c2_1(a287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1915,plain,
    ( c3_1(a287)
    | ~ spl0_45
    | spl0_111
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1899,f756]) ).

fof(f756,plain,
    ( ~ c2_1(a287)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f1899,plain,
    ( c2_1(a287)
    | c3_1(a287)
    | ~ spl0_45
    | ~ spl0_113 ),
    inference(resolution,[],[f413,f766]) ).

fof(f1888,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | ~ spl0_48
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_56
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1887]) ).

fof(f1887,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_48
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_56
    | spl0_77 ),
    inference(resolution,[],[f1872,f574]) ).

fof(f1872,plain,
    ( ! [X0] : c0_1(X0)
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_48
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f1859,f1628]) ).

fof(f1628,plain,
    ( ! [X40] :
        ( ~ c1_1(X40)
        | c0_1(X40) )
    | ~ spl0_48
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f426,f460]) ).

fof(f1859,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(resolution,[],[f1806,f1401]) ).

fof(f1806,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | c0_1(X64) )
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f465,f439]) ).

fof(f1856,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_51
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1720,f796,f438,f791,f786]) ).

fof(f786,plain,
    ( spl0_117
  <=> c3_1(a284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f791,plain,
    ( spl0_118
  <=> c0_1(a284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f796,plain,
    ( spl0_119
  <=> c2_1(a284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1720,plain,
    ( c0_1(a284)
    | c3_1(a284)
    | ~ spl0_51
    | ~ spl0_119 ),
    inference(resolution,[],[f439,f798]) ).

fof(f798,plain,
    ( c2_1(a284)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f1805,plain,
    ( ~ spl0_44
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1804]) ).

fof(f1804,plain,
    ( $false
    | ~ spl0_44
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1803,f948]) ).

fof(f1803,plain,
    ( c2_1(a269)
    | ~ spl0_44
    | spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1802,f953]) ).

fof(f1802,plain,
    ( c1_1(a269)
    | c2_1(a269)
    | ~ spl0_44
    | ~ spl0_149 ),
    inference(resolution,[],[f958,f408]) ).

fof(f1784,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | spl0_141
    | spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1783]) ).

fof(f1783,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_56
    | spl0_141
    | spl0_143 ),
    inference(subsumption_resolution,[],[f1769,f926]) ).

fof(f1769,plain,
    ( c0_1(a271)
    | ~ spl0_51
    | ~ spl0_56
    | spl0_141 ),
    inference(resolution,[],[f1761,f916]) ).

fof(f1761,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | c0_1(X64) )
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f465,f439]) ).

fof(f1755,plain,
    ( spl0_120
    | ~ spl0_35
    | ~ spl0_122
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1754,f1298,f812,f368,f802]) ).

fof(f1754,plain,
    ( c1_1(a282)
    | ~ spl0_35
    | ~ spl0_122
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f1748,f814]) ).

fof(f1748,plain,
    ( c1_1(a282)
    | ~ c2_1(a282)
    | ~ spl0_35
    | ~ spl0_159 ),
    inference(resolution,[],[f1299,f369]) ).

fof(f1672,plain,
    ( spl0_166
    | spl0_94
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1629,f668,f459,f663,f1669]) ).

fof(f1629,plain,
    ( c0_1(a305)
    | c2_1(a305)
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(resolution,[],[f670,f460]) ).

fof(f1667,plain,
    ( spl0_94
    | ~ spl0_48
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1657,f668,f459,f425,f663]) ).

fof(f1657,plain,
    ( c0_1(a305)
    | ~ spl0_48
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(resolution,[],[f1628,f670]) ).

fof(f1621,plain,
    ( ~ spl0_30
    | ~ spl0_51
    | spl0_96
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1620]) ).

fof(f1620,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_51
    | spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f1608,f676]) ).

fof(f676,plain,
    ( ~ c3_1(a303)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f1608,plain,
    ( c3_1(a303)
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_97 ),
    inference(resolution,[],[f1601,f681]) ).

fof(f1601,plain,
    ( ! [X46] :
        ( ~ c2_1(X46)
        | c3_1(X46) )
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f439,f348]) ).

fof(f1497,plain,
    ( ~ spl0_92
    | ~ spl0_40
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1493,f647,f642,f388,f652]) ).

fof(f652,plain,
    ( spl0_92
  <=> c0_1(a307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f642,plain,
    ( spl0_90
  <=> c1_1(a307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f647,plain,
    ( spl0_91
  <=> c2_1(a307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1493,plain,
    ( ~ c0_1(a307)
    | ~ spl0_40
    | spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f1490,f649]) ).

fof(f649,plain,
    ( c2_1(a307)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f1490,plain,
    ( ~ c2_1(a307)
    | ~ c0_1(a307)
    | ~ spl0_40
    | spl0_90 ),
    inference(resolution,[],[f389,f644]) ).

fof(f644,plain,
    ( ~ c1_1(a307)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f1461,plain,
    ( ~ spl0_32
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | ~ spl0_32
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1459,f873]) ).

fof(f1459,plain,
    ( ~ c1_1(a274)
    | ~ spl0_32
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1446,f868]) ).

fof(f1446,plain,
    ( c3_1(a274)
    | ~ c1_1(a274)
    | ~ spl0_32
    | ~ spl0_134 ),
    inference(resolution,[],[f357,f878]) ).

fof(f357,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c3_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f356,plain,
    ( spl0_32
  <=> ! [X7] :
        ( ~ c1_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1400,plain,
    ( ~ spl0_36
    | ~ spl0_55
    | spl0_99
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1399,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_55
    | spl0_99
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1390,f692]) ).

fof(f692,plain,
    ( ~ c2_1(a298)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl0_99
  <=> c2_1(a298) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1390,plain,
    ( c2_1(a298)
    | ~ spl0_36
    | ~ spl0_55
    | ~ spl0_101 ),
    inference(resolution,[],[f1332,f702]) ).

fof(f702,plain,
    ( c1_1(a298)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f700,plain,
    ( spl0_101
  <=> c1_1(a298) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1332,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12) )
    | ~ spl0_36
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f374,f460]) ).

fof(f1381,plain,
    ( ~ spl0_48
    | ~ spl0_55
    | spl0_135
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1380]) ).

fof(f1380,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_55
    | spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1372,f884]) ).

fof(f1372,plain,
    ( c0_1(a273)
    | ~ spl0_48
    | ~ spl0_55
    | ~ spl0_137 ),
    inference(resolution,[],[f1331,f894]) ).

fof(f1331,plain,
    ( ! [X40] :
        ( ~ c1_1(X40)
        | c0_1(X40) )
    | ~ spl0_48
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f426,f460]) ).

fof(f1326,plain,
    ( ~ spl0_36
    | ~ spl0_44
    | spl0_105
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f1325]) ).

fof(f1325,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_44
    | spl0_105
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f1314,f724]) ).

fof(f1314,plain,
    ( c2_1(a293)
    | ~ spl0_36
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(resolution,[],[f1281,f734]) ).

fof(f1281,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12) )
    | ~ spl0_36
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f374,f408]) ).

fof(f1320,plain,
    ( ~ spl0_36
    | ~ spl0_44
    | spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1319]) ).

fof(f1319,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_44
    | spl0_154
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1309,f985]) ).

fof(f985,plain,
    ( ~ c2_1(a267)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f983,plain,
    ( spl0_154
  <=> c2_1(a267) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1309,plain,
    ( c2_1(a267)
    | ~ spl0_36
    | ~ spl0_44
    | ~ spl0_155 ),
    inference(resolution,[],[f1281,f990]) ).

fof(f990,plain,
    ( c0_1(a267)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f988,plain,
    ( spl0_155
  <=> c0_1(a267) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1233,plain,
    ( ~ spl0_38
    | ~ spl0_47
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1232]) ).

fof(f1232,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_47
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1231,f894]) ).

fof(f1231,plain,
    ( ~ c1_1(a273)
    | ~ spl0_38
    | ~ spl0_47
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1228,f884]) ).

fof(f1228,plain,
    ( c0_1(a273)
    | ~ c1_1(a273)
    | ~ spl0_38
    | ~ spl0_47
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(resolution,[],[f1179,f421]) ).

fof(f1179,plain,
    ( c3_1(a273)
    | ~ spl0_38
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1171,f894]) ).

fof(f1171,plain,
    ( c3_1(a273)
    | ~ c1_1(a273)
    | ~ spl0_38
    | ~ spl0_136 ),
    inference(resolution,[],[f381,f889]) ).

fof(f1186,plain,
    ( ~ spl0_98
    | ~ spl0_38
    | spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1181,f679,f674,f380,f684]) ).

fof(f1181,plain,
    ( ~ c1_1(a303)
    | ~ spl0_38
    | spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f1174,f676]) ).

fof(f1174,plain,
    ( c3_1(a303)
    | ~ c1_1(a303)
    | ~ spl0_38
    | ~ spl0_97 ),
    inference(resolution,[],[f381,f681]) ).

fof(f1159,plain,
    ( ~ spl0_55
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1158,plain,
    ( $false
    | ~ spl0_55
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1157,f756]) ).

fof(f1157,plain,
    ( c2_1(a287)
    | ~ spl0_55
    | spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1148,f761]) ).

fof(f1148,plain,
    ( c0_1(a287)
    | c2_1(a287)
    | ~ spl0_55
    | ~ spl0_113 ),
    inference(resolution,[],[f460,f766]) ).

fof(f1103,plain,
    ( ~ spl0_27
    | ~ spl0_36
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f1102]) ).

fof(f1102,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f1100,f729]) ).

fof(f1100,plain,
    ( ~ c1_1(a293)
    | ~ spl0_27
    | ~ spl0_36
    | ~ spl0_107 ),
    inference(resolution,[],[f1086,f734]) ).

fof(f1086,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f374,f336]) ).

fof(f1098,plain,
    ( ~ spl0_39
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1097,plain,
    ( $false
    | ~ spl0_39
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1096,f980]) ).

fof(f980,plain,
    ( ~ c3_1(a267)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f978,plain,
    ( spl0_153
  <=> c3_1(a267) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1096,plain,
    ( c3_1(a267)
    | ~ spl0_39
    | spl0_154
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1090,f985]) ).

fof(f1090,plain,
    ( c2_1(a267)
    | c3_1(a267)
    | ~ spl0_39
    | ~ spl0_155 ),
    inference(resolution,[],[f990,f385]) ).

fof(f1075,plain,
    ( ~ spl0_128
    | ~ spl0_35
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1074,f839,f834,f368,f844]) ).

fof(f1074,plain,
    ( ~ c2_1(a280)
    | ~ spl0_35
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1071,f836]) ).

fof(f1071,plain,
    ( c1_1(a280)
    | ~ c2_1(a280)
    | ~ spl0_35
    | ~ spl0_127 ),
    inference(resolution,[],[f841,f369]) ).

fof(f1073,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1072]) ).

fof(f1072,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1070,f836]) ).

fof(f1070,plain,
    ( c1_1(a280)
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_127 ),
    inference(resolution,[],[f841,f1042]) ).

fof(f1042,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f402,f369]) ).

fof(f1027,plain,
    ( ~ spl0_34
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1026]) ).

fof(f1026,plain,
    ( $false
    | ~ spl0_34
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1025,f702]) ).

fof(f1025,plain,
    ( ~ c1_1(a298)
    | ~ spl0_34
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1024,f692]) ).

fof(f1024,plain,
    ( c2_1(a298)
    | ~ c1_1(a298)
    | ~ spl0_34
    | ~ spl0_100 ),
    inference(resolution,[],[f365,f697]) ).

fof(f697,plain,
    ( c3_1(a298)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f695,plain,
    ( spl0_100
  <=> c3_1(a298) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1008,plain,
    ( ~ spl0_27
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1007]) ).

fof(f1007,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1006,f521]) ).

fof(f1006,plain,
    ( ~ c1_1(a304)
    | ~ spl0_27
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1004,f516]) ).

fof(f1004,plain,
    ( ~ c2_1(a304)
    | ~ c1_1(a304)
    | ~ spl0_27
    | ~ spl0_68 ),
    inference(resolution,[],[f336,f526]) ).

fof(f526,plain,
    ( c0_1(a304)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl0_68
  <=> c0_1(a304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1002,plain,
    ( ~ spl0_30
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1001]) ).

fof(f1001,plain,
    ( $false
    | ~ spl0_30
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1000,f633]) ).

fof(f633,plain,
    ( c2_1(a311)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl0_88
  <=> c2_1(a311) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1000,plain,
    ( ~ c2_1(a311)
    | ~ spl0_30
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f998,f628]) ).

fof(f628,plain,
    ( ~ c3_1(a311)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f626,plain,
    ( spl0_87
  <=> c3_1(a311) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f998,plain,
    ( c3_1(a311)
    | ~ c2_1(a311)
    | ~ spl0_30
    | ~ spl0_89 ),
    inference(resolution,[],[f348,f638]) ).

fof(f638,plain,
    ( c0_1(a311)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f636,plain,
    ( spl0_89
  <=> c0_1(a311) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f991,plain,
    ( ~ spl0_6
    | spl0_155 ),
    inference(avatar_split_clause,[],[f8,f988,f242]) ).

fof(f242,plain,
    ( spl0_6
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f8,plain,
    ( c0_1(a267)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp26
      | hskp1
      | hskp12 )
    & ( hskp12
      | hskp25
      | hskp14 )
    & ( hskp9
      | hskp19
      | hskp0 )
    & ( hskp9
      | hskp6
      | hskp22 )
    & ( hskp23
      | hskp10
      | hskp21 )
    & ( hskp17
      | hskp14
      | hskp30 )
    & ( hskp5
      | hskp30
      | hskp16 )
    & ( hskp18
      | hskp7
      | hskp16 )
    & ( hskp11
      | hskp9
      | hskp29 )
    & ( hskp11
      | hskp22
      | hskp29 )
    & ( hskp20
      | hskp19
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp7
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp21
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp28
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp22
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c2_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp29
      | ! [X18] :
          ( ~ c2_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X22] :
          ( ~ c0_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp0
      | ! [X24] :
          ( ~ c3_1(X24)
          | c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c2_1(X25)
          | ~ c1_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c1_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp0
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp15
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c2_1(X43)
          | ~ c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | ! [X46] :
          ( ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp6
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp7
      | ! [X49] :
          ( ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X60] :
          ( ~ c1_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp27
      | ! [X65] :
          ( ~ c3_1(X65)
          | c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X66] :
          ( ~ c3_1(X66)
          | c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c2_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X80] :
          ( c2_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a337)
        & c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a304)
        & c1_1(a304)
        & c0_1(a304)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a278)
        & c1_1(a278)
        & c0_1(a278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a276)
        & c2_1(a276)
        & c1_1(a276)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a356)
        & ~ c1_1(a356)
        & ~ c0_1(a356)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a352)
        & ~ c2_1(a352)
        & c1_1(a352)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a318)
        & ~ c1_1(a318)
        & c2_1(a318)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a313)
        & ~ c2_1(a313)
        & ~ c1_1(a313)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a311)
        & c2_1(a311)
        & c0_1(a311)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a307)
        & c2_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a305)
        & ~ c0_1(a305)
        & c1_1(a305)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a303)
        & c2_1(a303)
        & c1_1(a303)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a298)
        & c3_1(a298)
        & c1_1(a298)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a295)
        & ~ c0_1(a295)
        & c3_1(a295)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a293)
        & c1_1(a293)
        & c0_1(a293)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a291)
        & c3_1(a291)
        & c2_1(a291)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a287)
        & ~ c0_1(a287)
        & c1_1(a287)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a286)
        & c3_1(a286)
        & c1_1(a286)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a284)
        & ~ c0_1(a284)
        & c2_1(a284)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a282)
        & ~ c0_1(a282)
        & c2_1(a282)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a281)
        & ~ c0_1(a281)
        & c3_1(a281)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a280)
        & c3_1(a280)
        & c2_1(a280)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a275)
        & ~ c2_1(a275)
        & ~ c0_1(a275)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a274)
        & c1_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a273)
        & c2_1(a273)
        & c1_1(a273)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a272)
        & ~ c1_1(a272)
        & c0_1(a272)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a271)
        & ~ c1_1(a271)
        & ~ c0_1(a271)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a270)
        & c3_1(a270)
        & c0_1(a270)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a269)
        & ~ c1_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a268)
        & ~ c1_1(a268)
        & c3_1(a268)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a267)
        & ~ c2_1(a267)
        & c0_1(a267)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp26
      | hskp1
      | hskp12 )
    & ( hskp12
      | hskp25
      | hskp14 )
    & ( hskp9
      | hskp19
      | hskp0 )
    & ( hskp9
      | hskp6
      | hskp22 )
    & ( hskp23
      | hskp10
      | hskp21 )
    & ( hskp17
      | hskp14
      | hskp30 )
    & ( hskp5
      | hskp30
      | hskp16 )
    & ( hskp18
      | hskp7
      | hskp16 )
    & ( hskp11
      | hskp9
      | hskp29 )
    & ( hskp11
      | hskp22
      | hskp29 )
    & ( hskp20
      | hskp19
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp7
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp21
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp28
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp22
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c2_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp29
      | ! [X18] :
          ( ~ c2_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X22] :
          ( ~ c0_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp0
      | ! [X24] :
          ( ~ c3_1(X24)
          | c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c2_1(X25)
          | ~ c1_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c1_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp0
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp15
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c2_1(X43)
          | ~ c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | ! [X46] :
          ( ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp6
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp7
      | ! [X49] :
          ( ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X60] :
          ( ~ c1_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp27
      | ! [X65] :
          ( ~ c3_1(X65)
          | c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X66] :
          ( ~ c3_1(X66)
          | c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c2_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X80] :
          ( c2_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a337)
        & c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a304)
        & c1_1(a304)
        & c0_1(a304)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a278)
        & c1_1(a278)
        & c0_1(a278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a276)
        & c2_1(a276)
        & c1_1(a276)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a356)
        & ~ c1_1(a356)
        & ~ c0_1(a356)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a352)
        & ~ c2_1(a352)
        & c1_1(a352)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a318)
        & ~ c1_1(a318)
        & c2_1(a318)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a313)
        & ~ c2_1(a313)
        & ~ c1_1(a313)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a311)
        & c2_1(a311)
        & c0_1(a311)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a307)
        & c2_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a305)
        & ~ c0_1(a305)
        & c1_1(a305)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a303)
        & c2_1(a303)
        & c1_1(a303)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a298)
        & c3_1(a298)
        & c1_1(a298)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a295)
        & ~ c0_1(a295)
        & c3_1(a295)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a293)
        & c1_1(a293)
        & c0_1(a293)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a291)
        & c3_1(a291)
        & c2_1(a291)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a287)
        & ~ c0_1(a287)
        & c1_1(a287)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a286)
        & c3_1(a286)
        & c1_1(a286)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a284)
        & ~ c0_1(a284)
        & c2_1(a284)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a282)
        & ~ c0_1(a282)
        & c2_1(a282)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a281)
        & ~ c0_1(a281)
        & c3_1(a281)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a280)
        & c3_1(a280)
        & c2_1(a280)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a275)
        & ~ c2_1(a275)
        & ~ c0_1(a275)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a274)
        & c1_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a273)
        & c2_1(a273)
        & c1_1(a273)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a272)
        & ~ c1_1(a272)
        & c0_1(a272)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a271)
        & ~ c1_1(a271)
        & ~ c0_1(a271)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a270)
        & c3_1(a270)
        & c0_1(a270)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a269)
        & ~ c1_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a268)
        & ~ c1_1(a268)
        & c3_1(a268)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a267)
        & ~ c2_1(a267)
        & c0_1(a267)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp26
      | hskp1
      | hskp12 )
    & ( hskp12
      | hskp25
      | hskp14 )
    & ( hskp9
      | hskp19
      | hskp0 )
    & ( hskp9
      | hskp6
      | hskp22 )
    & ( hskp23
      | hskp10
      | hskp21 )
    & ( hskp17
      | hskp14
      | hskp30 )
    & ( hskp5
      | hskp30
      | hskp16 )
    & ( hskp18
      | hskp7
      | hskp16 )
    & ( hskp11
      | hskp9
      | hskp29 )
    & ( hskp11
      | hskp22
      | hskp29 )
    & ( hskp20
      | hskp19
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp8
      | hskp7
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp19
      | hskp7
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp4
      | hskp3
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp24
      | hskp21
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp0
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp23
      | hskp28
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp23
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp0
      | hskp22
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c2_1(X10)
            | c1_1(X10) ) ) )
    & ( hskp5
      | hskp29
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | c1_1(X11) ) ) )
    & ( hskp8
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | c1_1(X13) ) ) )
    & ( hskp21
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) ) )
    & ( hskp1
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp20
      | hskp29
      | ! [X18] :
          ( ndr1_0
         => ( ~ c2_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | ~ c1_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp19
      | hskp27
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c3_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp8
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp10
      | hskp0
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c2_1(X24)
            | c1_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c1_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | ~ c0_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c2_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp18
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp7
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c3_1(X32)
            | c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp7
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c0_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp17
      | hskp0
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c1_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp16
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c1_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp12
      | hskp15
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c1_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp6
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c0_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c3_1(X44)
            | c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp4
      | hskp1
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp14
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp13
      | hskp6
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp12
      | hskp7
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | ~ c0_1(X50)
            | c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c0_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp11
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp10
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | c2_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp9
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp27
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | ~ c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c2_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp28
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp1
      | hskp27
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c1_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp8
      | hskp7
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp6
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp5
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c3_1(X69)
            | c2_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c1_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp4
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c1_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c0_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c1_1(X74)
            | c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c1_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp3
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c1_1(X76)
            | c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c1_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp2
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp1
      | hskp0
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | c1_1(X80)
            | c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c0_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c2_1(X85)
            | c1_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( ( c3_1(a337)
        & c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a304)
        & c1_1(a304)
        & c0_1(a304)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a278)
        & c1_1(a278)
        & c0_1(a278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a276)
        & c2_1(a276)
        & c1_1(a276)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a356)
        & ~ c1_1(a356)
        & ~ c0_1(a356)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a352)
        & ~ c2_1(a352)
        & c1_1(a352)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a318)
        & ~ c1_1(a318)
        & c2_1(a318)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a313)
        & ~ c2_1(a313)
        & ~ c1_1(a313)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a311)
        & c2_1(a311)
        & c0_1(a311)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a307)
        & c2_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a305)
        & ~ c0_1(a305)
        & c1_1(a305)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a303)
        & c2_1(a303)
        & c1_1(a303)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a298)
        & c3_1(a298)
        & c1_1(a298)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a295)
        & ~ c0_1(a295)
        & c3_1(a295)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a293)
        & c1_1(a293)
        & c0_1(a293)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a291)
        & c3_1(a291)
        & c2_1(a291)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a287)
        & ~ c0_1(a287)
        & c1_1(a287)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a286)
        & c3_1(a286)
        & c1_1(a286)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a284)
        & ~ c0_1(a284)
        & c2_1(a284)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a282)
        & ~ c0_1(a282)
        & c2_1(a282)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a281)
        & ~ c0_1(a281)
        & c3_1(a281)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a280)
        & c3_1(a280)
        & c2_1(a280)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a275)
        & ~ c2_1(a275)
        & ~ c0_1(a275)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a274)
        & c1_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a273)
        & c2_1(a273)
        & c1_1(a273)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a272)
        & ~ c1_1(a272)
        & c0_1(a272)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a271)
        & ~ c1_1(a271)
        & ~ c0_1(a271)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a270)
        & c3_1(a270)
        & c0_1(a270)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a269)
        & ~ c1_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a268)
        & ~ c1_1(a268)
        & c3_1(a268)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a267)
        & ~ c2_1(a267)
        & c0_1(a267)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp26
          | hskp1
          | hskp12 )
        & ( hskp12
          | hskp25
          | hskp14 )
        & ( hskp9
          | hskp19
          | hskp0 )
        & ( hskp9
          | hskp6
          | hskp22 )
        & ( hskp23
          | hskp10
          | hskp21 )
        & ( hskp17
          | hskp14
          | hskp30 )
        & ( hskp5
          | hskp30
          | hskp16 )
        & ( hskp18
          | hskp7
          | hskp16 )
        & ( hskp11
          | hskp9
          | hskp29 )
        & ( hskp11
          | hskp22
          | hskp29 )
        & ( hskp20
          | hskp19
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp8
          | hskp7
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp19
          | hskp7
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp4
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp24
          | hskp21
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp0
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp23
          | hskp28
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp23
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp0
          | hskp22
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c1_1(X10) ) ) )
        & ( hskp5
          | hskp29
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | c1_1(X11) ) ) )
        & ( hskp8
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c1_1(X13) ) ) )
        & ( hskp21
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) ) )
        & ( hskp1
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp20
          | hskp29
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp19
          | hskp27
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp10
          | hskp0
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c2_1(X24)
                | c1_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c1_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp18
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp7
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c3_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp7
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp17
          | hskp0
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp16
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp12
          | hskp15
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp6
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c0_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp4
          | hskp1
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp14
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp13
          | hskp6
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp12
          | hskp7
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c0_1(X50)
                | c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp11
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp10
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp9
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp27
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp28
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp1
          | hskp27
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp8
          | hskp7
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp6
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp5
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp4
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c1_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp3
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c1_1(X76)
                | c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp2
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp1
          | hskp0
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | c1_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( ( c3_1(a337)
            & c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a304)
            & c1_1(a304)
            & c0_1(a304)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a278)
            & c1_1(a278)
            & c0_1(a278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a276)
            & c2_1(a276)
            & c1_1(a276)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a356)
            & ~ c1_1(a356)
            & ~ c0_1(a356)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a352)
            & ~ c2_1(a352)
            & c1_1(a352)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a318)
            & ~ c1_1(a318)
            & c2_1(a318)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a313)
            & ~ c2_1(a313)
            & ~ c1_1(a313)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a311)
            & c2_1(a311)
            & c0_1(a311)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a307)
            & c2_1(a307)
            & c0_1(a307)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a305)
            & ~ c0_1(a305)
            & c1_1(a305)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a303)
            & c2_1(a303)
            & c1_1(a303)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a298)
            & c3_1(a298)
            & c1_1(a298)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a295)
            & ~ c0_1(a295)
            & c3_1(a295)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a293)
            & c1_1(a293)
            & c0_1(a293)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a291)
            & c3_1(a291)
            & c2_1(a291)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a287)
            & ~ c0_1(a287)
            & c1_1(a287)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a286)
            & c3_1(a286)
            & c1_1(a286)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a284)
            & ~ c0_1(a284)
            & c2_1(a284)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a282)
            & ~ c0_1(a282)
            & c2_1(a282)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a281)
            & ~ c0_1(a281)
            & c3_1(a281)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a280)
            & c3_1(a280)
            & c2_1(a280)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a275)
            & ~ c2_1(a275)
            & ~ c0_1(a275)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a274)
            & c1_1(a274)
            & c0_1(a274)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a273)
            & c2_1(a273)
            & c1_1(a273)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a272)
            & ~ c1_1(a272)
            & c0_1(a272)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a271)
            & ~ c1_1(a271)
            & ~ c0_1(a271)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a270)
            & c3_1(a270)
            & c0_1(a270)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a269)
            & ~ c1_1(a269)
            & c0_1(a269)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a268)
            & ~ c1_1(a268)
            & c3_1(a268)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a267)
            & ~ c2_1(a267)
            & c0_1(a267)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp26
          | hskp1
          | hskp12 )
        & ( hskp12
          | hskp25
          | hskp14 )
        & ( hskp9
          | hskp19
          | hskp0 )
        & ( hskp9
          | hskp6
          | hskp22 )
        & ( hskp23
          | hskp10
          | hskp21 )
        & ( hskp17
          | hskp14
          | hskp30 )
        & ( hskp5
          | hskp30
          | hskp16 )
        & ( hskp18
          | hskp7
          | hskp16 )
        & ( hskp11
          | hskp9
          | hskp29 )
        & ( hskp11
          | hskp22
          | hskp29 )
        & ( hskp20
          | hskp19
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c1_1(X86) ) ) )
        & ( hskp8
          | hskp7
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c1_1(X85) ) ) )
        & ( hskp19
          | hskp7
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) ) )
        & ( hskp4
          | hskp3
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) ) )
        & ( hskp24
          | hskp21
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) ) )
        & ( hskp0
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) ) )
        & ( hskp23
          | hskp28
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c0_1(X79)
                | c3_1(X79) ) ) )
        & ( hskp23
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp0
          | hskp22
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp5
          | hskp29
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp8
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp21
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp1
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp20
          | hskp29
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp19
          | hskp27
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp8
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp10
          | hskp0
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp18
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp7
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp7
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp17
          | hskp0
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp16
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp12
          | hskp15
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp6
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c0_1(X43)
                | c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c3_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | hskp1
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp14
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp13
          | hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp12
          | hskp7
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c3_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp11
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp10
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c2_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp9
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp27
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp28
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c3_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp1
          | hskp27
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp8
          | hskp7
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp5
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp4
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | hskp0
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c2_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a337)
            & c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a304)
            & c1_1(a304)
            & c0_1(a304)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a278)
            & c1_1(a278)
            & c0_1(a278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a276)
            & c2_1(a276)
            & c1_1(a276)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a356)
            & ~ c1_1(a356)
            & ~ c0_1(a356)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a352)
            & ~ c2_1(a352)
            & c1_1(a352)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a318)
            & ~ c1_1(a318)
            & c2_1(a318)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a313)
            & ~ c2_1(a313)
            & ~ c1_1(a313)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a311)
            & c2_1(a311)
            & c0_1(a311)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a307)
            & c2_1(a307)
            & c0_1(a307)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a305)
            & ~ c0_1(a305)
            & c1_1(a305)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a303)
            & c2_1(a303)
            & c1_1(a303)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a298)
            & c3_1(a298)
            & c1_1(a298)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a295)
            & ~ c0_1(a295)
            & c3_1(a295)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a293)
            & c1_1(a293)
            & c0_1(a293)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a291)
            & c3_1(a291)
            & c2_1(a291)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a287)
            & ~ c0_1(a287)
            & c1_1(a287)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a286)
            & c3_1(a286)
            & c1_1(a286)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a284)
            & ~ c0_1(a284)
            & c2_1(a284)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a282)
            & ~ c0_1(a282)
            & c2_1(a282)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a281)
            & ~ c0_1(a281)
            & c3_1(a281)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a280)
            & c3_1(a280)
            & c2_1(a280)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a275)
            & ~ c2_1(a275)
            & ~ c0_1(a275)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a274)
            & c1_1(a274)
            & c0_1(a274)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a273)
            & c2_1(a273)
            & c1_1(a273)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a272)
            & ~ c1_1(a272)
            & c0_1(a272)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a271)
            & ~ c1_1(a271)
            & ~ c0_1(a271)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a270)
            & c3_1(a270)
            & c0_1(a270)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a269)
            & ~ c1_1(a269)
            & c0_1(a269)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a268)
            & ~ c1_1(a268)
            & c3_1(a268)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a267)
            & ~ c2_1(a267)
            & c0_1(a267)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp26
        | hskp1
        | hskp12 )
      & ( hskp12
        | hskp25
        | hskp14 )
      & ( hskp9
        | hskp19
        | hskp0 )
      & ( hskp9
        | hskp6
        | hskp22 )
      & ( hskp23
        | hskp10
        | hskp21 )
      & ( hskp17
        | hskp14
        | hskp30 )
      & ( hskp5
        | hskp30
        | hskp16 )
      & ( hskp18
        | hskp7
        | hskp16 )
      & ( hskp11
        | hskp9
        | hskp29 )
      & ( hskp11
        | hskp22
        | hskp29 )
      & ( hskp20
        | hskp19
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | ~ c1_1(X86) ) ) )
      & ( hskp8
        | hskp7
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | ~ c1_1(X85) ) ) )
      & ( hskp19
        | hskp7
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c1_1(X84)
              | ~ c0_1(X84) ) ) )
      & ( hskp4
        | hskp3
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) ) )
      & ( hskp24
        | hskp21
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c0_1(X82)
              | c3_1(X82) ) ) )
      & ( hskp0
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c1_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c3_1(X80) ) ) )
      & ( hskp23
        | hskp28
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c0_1(X79)
              | c3_1(X79) ) ) )
      & ( hskp23
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp0
        | hskp22
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp5
        | hskp29
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp8
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c0_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp21
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp1
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c3_1(X70)
              | c2_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp20
        | hskp29
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp19
        | hskp27
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c3_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp8
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp10
        | hskp0
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c0_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp18
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp7
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c3_1(X53)
              | c2_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) ) )
      & ( hskp7
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c0_1(X51)
              | c3_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) ) )
      & ( hskp17
        | hskp0
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp16
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c0_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp12
        | hskp15
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp6
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c1_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c0_1(X43)
              | c3_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c3_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | ~ c1_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | hskp1
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp14
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp13
        | hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp12
        | hskp7
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c0_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c3_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp11
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp10
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c2_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c1_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c1_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp9
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp27
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | ~ c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp28
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c3_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp1
        | hskp27
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp8
        | hskp7
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | ~ c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp5
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp4
        | ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c3_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | ~ c0_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | hskp0
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c3_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c2_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a337)
          & c2_1(a337)
          & c0_1(a337)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a304)
          & c1_1(a304)
          & c0_1(a304)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a278)
          & c1_1(a278)
          & c0_1(a278)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a276)
          & c2_1(a276)
          & c1_1(a276)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a356)
          & ~ c1_1(a356)
          & ~ c0_1(a356)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a352)
          & ~ c2_1(a352)
          & c1_1(a352)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a318)
          & ~ c1_1(a318)
          & c2_1(a318)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a313)
          & ~ c2_1(a313)
          & ~ c1_1(a313)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a311)
          & c2_1(a311)
          & c0_1(a311)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a307)
          & c2_1(a307)
          & c0_1(a307)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a305)
          & ~ c0_1(a305)
          & c1_1(a305)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a303)
          & c2_1(a303)
          & c1_1(a303)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a298)
          & c3_1(a298)
          & c1_1(a298)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a295)
          & ~ c0_1(a295)
          & c3_1(a295)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a293)
          & c1_1(a293)
          & c0_1(a293)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a291)
          & c3_1(a291)
          & c2_1(a291)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a287)
          & ~ c0_1(a287)
          & c1_1(a287)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a286)
          & c3_1(a286)
          & c1_1(a286)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a284)
          & ~ c0_1(a284)
          & c2_1(a284)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a282)
          & ~ c0_1(a282)
          & c2_1(a282)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a281)
          & ~ c0_1(a281)
          & c3_1(a281)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a280)
          & c3_1(a280)
          & c2_1(a280)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a275)
          & ~ c2_1(a275)
          & ~ c0_1(a275)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a274)
          & c1_1(a274)
          & c0_1(a274)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a273)
          & c2_1(a273)
          & c1_1(a273)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a272)
          & ~ c1_1(a272)
          & c0_1(a272)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a271)
          & ~ c1_1(a271)
          & ~ c0_1(a271)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a270)
          & c3_1(a270)
          & c0_1(a270)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a269)
          & ~ c1_1(a269)
          & c0_1(a269)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a268)
          & ~ c1_1(a268)
          & c3_1(a268)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a267)
          & ~ c2_1(a267)
          & c0_1(a267)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f986,plain,
    ( ~ spl0_6
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f9,f983,f242]) ).

fof(f9,plain,
    ( ~ c2_1(a267)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f981,plain,
    ( ~ spl0_6
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f10,f978,f242]) ).

fof(f10,plain,
    ( ~ c3_1(a267)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_2
    | spl0_152 ),
    inference(avatar_split_clause,[],[f12,f972,f224]) ).

fof(f224,plain,
    ( spl0_2
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f12,plain,
    ( c3_1(a268)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_2
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f13,f967,f224]) ).

fof(f13,plain,
    ( ~ c1_1(a268)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f965,plain,
    ( ~ spl0_2
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f14,f962,f224]) ).

fof(f14,plain,
    ( ~ c2_1(a268)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_60
    | spl0_149 ),
    inference(avatar_split_clause,[],[f16,f956,f484]) ).

fof(f484,plain,
    ( spl0_60
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f16,plain,
    ( c0_1(a269)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_60
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f17,f951,f484]) ).

fof(f17,plain,
    ( ~ c1_1(a269)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_60
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f18,f946,f484]) ).

fof(f18,plain,
    ( ~ c2_1(a269)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_28
    | spl0_146 ),
    inference(avatar_split_clause,[],[f20,f940,f338]) ).

fof(f338,plain,
    ( spl0_28
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f20,plain,
    ( c0_1(a270)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_28
    | spl0_145 ),
    inference(avatar_split_clause,[],[f21,f935,f338]) ).

fof(f21,plain,
    ( c3_1(a270)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_28
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f22,f930,f338]) ).

fof(f22,plain,
    ( ~ c2_1(a270)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_29
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f24,f924,f342]) ).

fof(f342,plain,
    ( spl0_29
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f24,plain,
    ( ~ c0_1(a271)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_29
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f25,f919,f342]) ).

fof(f25,plain,
    ( ~ c1_1(a271)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_29
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f26,f914,f342]) ).

fof(f26,plain,
    ( ~ c3_1(a271)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_17
    | spl0_140 ),
    inference(avatar_split_clause,[],[f28,f908,f290]) ).

fof(f290,plain,
    ( spl0_17
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f28,plain,
    ( c0_1(a272)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_17
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f29,f903,f290]) ).

fof(f29,plain,
    ( ~ c1_1(a272)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_17
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f30,f898,f290]) ).

fof(f30,plain,
    ( ~ c3_1(a272)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_10
    | spl0_137 ),
    inference(avatar_split_clause,[],[f32,f892,f259]) ).

fof(f259,plain,
    ( spl0_10
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f32,plain,
    ( c1_1(a273)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_10
    | spl0_136 ),
    inference(avatar_split_clause,[],[f33,f887,f259]) ).

fof(f33,plain,
    ( c2_1(a273)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_10
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f34,f882,f259]) ).

fof(f34,plain,
    ( ~ c0_1(a273)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_18
    | spl0_134 ),
    inference(avatar_split_clause,[],[f36,f876,f295]) ).

fof(f295,plain,
    ( spl0_18
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f36,plain,
    ( c0_1(a274)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_18
    | spl0_133 ),
    inference(avatar_split_clause,[],[f37,f871,f295]) ).

fof(f37,plain,
    ( c1_1(a274)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_18
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f38,f866,f295]) ).

fof(f38,plain,
    ( ~ c3_1(a274)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_25
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f40,f860,f326]) ).

fof(f326,plain,
    ( spl0_25
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f40,plain,
    ( ~ c0_1(a275)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_25
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f41,f855,f326]) ).

fof(f41,plain,
    ( ~ c2_1(a275)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_25
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f42,f850,f326]) ).

fof(f42,plain,
    ( ~ c3_1(a275)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_8
    | spl0_22 ),
    inference(avatar_split_clause,[],[f43,f314,f250]) ).

fof(f250,plain,
    ( spl0_8
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f314,plain,
    ( spl0_22
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f43,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_8
    | spl0_128 ),
    inference(avatar_split_clause,[],[f44,f844,f250]) ).

fof(f44,plain,
    ( c2_1(a280)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_8
    | spl0_127 ),
    inference(avatar_split_clause,[],[f45,f839,f250]) ).

fof(f45,plain,
    ( c3_1(a280)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_8
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f46,f834,f250]) ).

fof(f46,plain,
    ( ~ c1_1(a280)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f51,f314,f308]) ).

fof(f308,plain,
    ( spl0_21
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

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

fof(f815,plain,
    ( ~ spl0_21
    | spl0_122 ),
    inference(avatar_split_clause,[],[f52,f812,f308]) ).

fof(f52,plain,
    ( c2_1(a282)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_21
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f53,f807,f308]) ).

fof(f53,plain,
    ( ~ c0_1(a282)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_21
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f54,f802,f308]) ).

fof(f54,plain,
    ( ~ c1_1(a282)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_1
    | spl0_119 ),
    inference(avatar_split_clause,[],[f56,f796,f220]) ).

fof(f220,plain,
    ( spl0_1
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f56,plain,
    ( c2_1(a284)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_1
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f57,f791,f220]) ).

fof(f57,plain,
    ( ~ c0_1(a284)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_1
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f58,f786,f220]) ).

fof(f58,plain,
    ( ~ c3_1(a284)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_52
    | spl0_116 ),
    inference(avatar_split_clause,[],[f60,f780,f443]) ).

fof(f443,plain,
    ( spl0_52
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f60,plain,
    ( c1_1(a286)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_52
    | spl0_115 ),
    inference(avatar_split_clause,[],[f61,f775,f443]) ).

fof(f61,plain,
    ( c3_1(a286)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_52
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f62,f770,f443]) ).

fof(f62,plain,
    ( ~ c0_1(a286)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_4
    | spl0_113 ),
    inference(avatar_split_clause,[],[f64,f764,f233]) ).

fof(f233,plain,
    ( spl0_4
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f64,plain,
    ( c1_1(a287)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_4
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f65,f759,f233]) ).

fof(f65,plain,
    ( ~ c0_1(a287)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_4
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f66,f754,f233]) ).

fof(f66,plain,
    ( ~ c2_1(a287)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_49
    | spl0_110 ),
    inference(avatar_split_clause,[],[f68,f748,f428]) ).

fof(f428,plain,
    ( spl0_49
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f68,plain,
    ( c2_1(a291)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_49
    | spl0_109 ),
    inference(avatar_split_clause,[],[f69,f743,f428]) ).

fof(f69,plain,
    ( c3_1(a291)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_49
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f70,f738,f428]) ).

fof(f70,plain,
    ( ~ c0_1(a291)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_16
    | spl0_107 ),
    inference(avatar_split_clause,[],[f72,f732,f286]) ).

fof(f286,plain,
    ( spl0_16
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f72,plain,
    ( c0_1(a293)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_16
    | spl0_106 ),
    inference(avatar_split_clause,[],[f73,f727,f286]) ).

fof(f73,plain,
    ( c1_1(a293)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_16
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f74,f722,f286]) ).

fof(f74,plain,
    ( ~ c2_1(a293)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_15
    | spl0_104 ),
    inference(avatar_split_clause,[],[f76,f716,f281]) ).

fof(f281,plain,
    ( spl0_15
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f76,plain,
    ( c3_1(a295)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( ~ spl0_15
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f77,f711,f281]) ).

fof(f77,plain,
    ( ~ c0_1(a295)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_15
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f78,f706,f281]) ).

fof(f78,plain,
    ( ~ c1_1(a295)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f703,plain,
    ( ~ spl0_19
    | spl0_101 ),
    inference(avatar_split_clause,[],[f80,f700,f299]) ).

fof(f299,plain,
    ( spl0_19
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f80,plain,
    ( c1_1(a298)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_19
    | spl0_100 ),
    inference(avatar_split_clause,[],[f81,f695,f299]) ).

fof(f81,plain,
    ( c3_1(a298)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f693,plain,
    ( ~ spl0_19
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f82,f690,f299]) ).

fof(f82,plain,
    ( ~ c2_1(a298)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_7
    | spl0_98 ),
    inference(avatar_split_clause,[],[f84,f684,f246]) ).

fof(f246,plain,
    ( spl0_7
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f84,plain,
    ( c1_1(a303)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_7
    | spl0_97 ),
    inference(avatar_split_clause,[],[f85,f679,f246]) ).

fof(f85,plain,
    ( c2_1(a303)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_7
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f86,f674,f246]) ).

fof(f86,plain,
    ( ~ c3_1(a303)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f671,plain,
    ( ~ spl0_24
    | spl0_95 ),
    inference(avatar_split_clause,[],[f88,f668,f321]) ).

fof(f321,plain,
    ( spl0_24
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f88,plain,
    ( c1_1(a305)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_24
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f89,f663,f321]) ).

fof(f89,plain,
    ( ~ c0_1(a305)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_24
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f90,f658,f321]) ).

fof(f90,plain,
    ( ~ c3_1(a305)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_11
    | spl0_92 ),
    inference(avatar_split_clause,[],[f92,f652,f264]) ).

fof(f264,plain,
    ( spl0_11
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f92,plain,
    ( c0_1(a307)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_11
    | spl0_91 ),
    inference(avatar_split_clause,[],[f93,f647,f264]) ).

fof(f93,plain,
    ( c2_1(a307)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_11
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f94,f642,f264]) ).

fof(f94,plain,
    ( ~ c1_1(a307)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_9
    | spl0_89 ),
    inference(avatar_split_clause,[],[f96,f636,f255]) ).

fof(f255,plain,
    ( spl0_9
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f96,plain,
    ( c0_1(a311)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_9
    | spl0_88 ),
    inference(avatar_split_clause,[],[f97,f631,f255]) ).

fof(f97,plain,
    ( c2_1(a311)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f629,plain,
    ( ~ spl0_9
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f98,f626,f255]) ).

fof(f98,plain,
    ( ~ c3_1(a311)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_13
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f100,f620,f272]) ).

fof(f272,plain,
    ( spl0_13
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f100,plain,
    ( ~ c1_1(a313)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_13
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f101,f615,f272]) ).

fof(f101,plain,
    ( ~ c2_1(a313)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_5
    | spl0_80 ),
    inference(avatar_split_clause,[],[f108,f588,f237]) ).

fof(f237,plain,
    ( spl0_5
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f108,plain,
    ( c1_1(a352)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_5
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f109,f583,f237]) ).

fof(f109,plain,
    ( ~ c2_1(a352)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_5
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f110,f578,f237]) ).

fof(f110,plain,
    ( ~ c3_1(a352)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_3
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f112,f572,f228]) ).

fof(f228,plain,
    ( spl0_3
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f112,plain,
    ( ~ c0_1(a356)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_3
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f113,f567,f228]) ).

fof(f113,plain,
    ( ~ c1_1(a356)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_3
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f114,f562,f228]) ).

fof(f114,plain,
    ( ~ c2_1(a356)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( ~ spl0_42
    | spl0_74 ),
    inference(avatar_split_clause,[],[f116,f556,f396]) ).

fof(f396,plain,
    ( spl0_42
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f116,plain,
    ( c1_1(a276)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( ~ spl0_42
    | spl0_73 ),
    inference(avatar_split_clause,[],[f117,f551,f396]) ).

fof(f117,plain,
    ( c2_1(a276)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( ~ spl0_42
    | spl0_72 ),
    inference(avatar_split_clause,[],[f118,f546,f396]) ).

fof(f118,plain,
    ( c3_1(a276)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( ~ spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f123,f314,f304]) ).

fof(f304,plain,
    ( spl0_20
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f123,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f527,plain,
    ( ~ spl0_20
    | spl0_68 ),
    inference(avatar_split_clause,[],[f124,f524,f304]) ).

fof(f124,plain,
    ( c0_1(a304)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( ~ spl0_20
    | spl0_67 ),
    inference(avatar_split_clause,[],[f125,f519,f304]) ).

fof(f125,plain,
    ( c1_1(a304)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( ~ spl0_20
    | spl0_66 ),
    inference(avatar_split_clause,[],[f126,f514,f304]) ).

fof(f126,plain,
    ( c2_1(a304)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( ~ spl0_22
    | spl0_61
    | spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f133,f224,f242,f489,f314]) ).

fof(f133,plain,
    ! [X80] :
      ( hskp1
      | hskp0
      | c2_1(X80)
      | c1_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_59
    | ~ spl0_22
    | spl0_56
    | spl0_60 ),
    inference(avatar_split_clause,[],[f193,f484,f464,f314,f481]) ).

fof(f193,plain,
    ! [X78,X79] :
      ( hskp2
      | c3_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | c1_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X78,X79] :
      ( hskp2
      | c3_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_58
    | ~ spl0_22
    | spl0_57
    | spl0_28 ),
    inference(avatar_split_clause,[],[f194,f338,f468,f314,f474]) ).

fof(f194,plain,
    ! [X76,X77] :
      ( hskp3
      | ~ c3_1(X76)
      | c1_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | ~ c2_1(X77)
      | c1_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X76,X77] :
      ( hskp3
      | ~ c3_1(X76)
      | c1_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | ~ c2_1(X77)
      | c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_58
    | spl0_47
    | ~ spl0_22
    | spl0_36 ),
    inference(avatar_split_clause,[],[f195,f373,f314,f420,f474]) ).

fof(f195,plain,
    ! [X73,X74,X75] :
      ( ~ c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c1_1(X74)
      | c0_1(X74)
      | ~ c2_1(X75)
      | c1_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X73,X74,X75] :
      ( ~ c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c1_1(X74)
      | c0_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_58
    | ~ spl0_22
    | spl0_41
    | spl0_29 ),
    inference(avatar_split_clause,[],[f196,f342,f393,f314,f474]) ).

fof(f196,plain,
    ! [X72,X71] :
      ( hskp4
      | ~ c0_1(X71)
      | c3_1(X71)
      | c1_1(X71)
      | ~ ndr1_0
      | ~ c2_1(X72)
      | c1_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X72,X71] :
      ( hskp4
      | ~ c0_1(X71)
      | c3_1(X71)
      | c1_1(X71)
      | ~ ndr1_0
      | ~ c2_1(X72)
      | c1_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_57
    | ~ spl0_22
    | spl0_27
    | spl0_10 ),
    inference(avatar_split_clause,[],[f198,f259,f335,f314,f468]) ).

fof(f198,plain,
    ! [X68,X67] :
      ( hskp6
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c1_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X68,X67] :
      ( hskp6
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | c1_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( ~ spl0_22
    | spl0_55
    | spl0_8 ),
    inference(avatar_split_clause,[],[f144,f250,f459,f314]) ).

fof(f144,plain,
    ! [X60] :
      ( hskp9
      | ~ c1_1(X60)
      | c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f457,plain,
    ( spl0_54
    | spl0_47
    | ~ spl0_22
    | spl0_26 ),
    inference(avatar_split_clause,[],[f201,f331,f314,f420,f453]) ).

fof(f201,plain,
    ! [X58,X59,X57] :
      ( ~ c3_1(X57)
      | ~ c1_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ c3_1(X59)
      | c2_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X58,X59,X57] :
      ( ~ c3_1(X57)
      | ~ c1_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | c2_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( spl0_53
    | spl0_37
    | ~ spl0_22
    | spl0_32 ),
    inference(avatar_split_clause,[],[f204,f356,f314,f377,f449]) ).

fof(f204,plain,
    ! [X50,X51,X52] :
      ( ~ c1_1(X50)
      | ~ c0_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c0_1(X51)
      | c1_1(X51)
      | ~ c1_1(X52)
      | c3_1(X52)
      | c0_1(X52) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X50,X51,X52] :
      ( ~ c1_1(X50)
      | ~ c0_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c0_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | ~ c1_1(X52)
      | c3_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( ~ spl0_22
    | spl0_51
    | spl0_10
    | spl0_52 ),
    inference(avatar_split_clause,[],[f150,f443,f259,f438,f314]) ).

fof(f150,plain,
    ! [X48] :
      ( hskp13
      | hskp6
      | ~ c2_1(X48)
      | c3_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( ~ spl0_22
    | spl0_51
    | spl0_4 ),
    inference(avatar_split_clause,[],[f151,f233,f438,f314]) ).

fof(f151,plain,
    ! [X47] :
      ( hskp14
      | ~ c2_1(X47)
      | c3_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( ~ spl0_22
    | spl0_51
    | spl0_2
    | spl0_29 ),
    inference(avatar_split_clause,[],[f152,f342,f224,f438,f314]) ).

fof(f152,plain,
    ! [X46] :
      ( hskp4
      | hskp1
      | ~ c2_1(X46)
      | c3_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_48
    | spl0_41
    | ~ spl0_22
    | spl0_30 ),
    inference(avatar_split_clause,[],[f205,f347,f314,f393,f425]) ).

fof(f205,plain,
    ! [X44,X45,X43] :
      ( ~ c2_1(X43)
      | ~ c0_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c3_1(X44)
      | c1_1(X44)
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X44,X45,X43] :
      ( ~ c2_1(X43)
      | ~ c0_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c3_1(X44)
      | c1_1(X44)
      | ~ ndr1_0
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( ~ spl0_22
    | spl0_48
    | spl0_49
    | spl0_1 ),
    inference(avatar_split_clause,[],[f155,f220,f428,f425,f314]) ).

fof(f155,plain,
    ! [X40] :
      ( hskp12
      | hskp15
      | ~ c2_1(X40)
      | ~ c1_1(X40)
      | c0_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_47
    | ~ spl0_22
    | spl0_37
    | spl0_16 ),
    inference(avatar_split_clause,[],[f207,f286,f377,f314,f420]) ).

fof(f207,plain,
    ! [X38,X39] :
      ( hskp16
      | ~ c3_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | ~ c1_1(X39)
      | c0_1(X39) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X38,X39] :
      ( hskp16
      | ~ c3_1(X38)
      | ~ c0_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | ~ c1_1(X39)
      | c0_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( ~ spl0_22
    | spl0_47
    | spl0_6
    | spl0_15 ),
    inference(avatar_split_clause,[],[f157,f281,f242,f420,f314]) ).

fof(f157,plain,
    ! [X37] :
      ( hskp17
      | hskp0
      | ~ c3_1(X37)
      | ~ c1_1(X37)
      | c0_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( spl0_44
    | spl0_39
    | ~ spl0_22
    | spl0_45 ),
    inference(avatar_split_clause,[],[f209,f412,f314,f384,f407]) ).

fof(f209,plain,
    ! [X34,X32,X33] :
      ( ~ c1_1(X32)
      | c3_1(X32)
      | c2_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c3_1(X33)
      | c2_1(X33)
      | ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X34,X32,X33] :
      ( ~ c1_1(X32)
      | c3_1(X32)
      | c2_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c3_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f410,plain,
    ( spl0_44
    | ~ spl0_22
    | spl0_34
    | spl0_18 ),
    inference(avatar_split_clause,[],[f210,f295,f364,f314,f407]) ).

fof(f210,plain,
    ! [X31,X30] :
      ( hskp7
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c2_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X31,X30] :
      ( hskp7
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( spl0_44
    | ~ spl0_22
    | spl0_27
    | spl0_19 ),
    inference(avatar_split_clause,[],[f211,f299,f335,f314,f407]) ).

fof(f211,plain,
    ! [X28,X29] :
      ( hskp18
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c2_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X28,X29] :
      ( hskp18
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f405,plain,
    ( spl0_43
    | spl0_36
    | ~ spl0_22
    | spl0_38 ),
    inference(avatar_split_clause,[],[f212,f380,f314,f373,f401]) ).

fof(f212,plain,
    ! [X26,X27,X25] :
      ( ~ c2_1(X25)
      | ~ c1_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c1_1(X26)
      | ~ c0_1(X26)
      | c2_1(X26)
      | ~ c3_1(X27)
      | c2_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X26,X27,X25] :
      ( ~ c2_1(X25)
      | ~ c1_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c1_1(X26)
      | ~ c0_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | c2_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_22
    | spl0_43
    | spl0_25 ),
    inference(avatar_split_clause,[],[f164,f326,f401,f314]) ).

fof(f164,plain,
    ! [X23] :
      ( hskp8
      | ~ c3_1(X23)
      | c2_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f399,plain,
    ( ~ spl0_22
    | spl0_41
    | spl0_42
    | spl0_7 ),
    inference(avatar_split_clause,[],[f165,f246,f396,f393,f314]) ).

fof(f165,plain,
    ! [X22] :
      ( hskp19
      | hskp27
      | ~ c0_1(X22)
      | c3_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( spl0_40
    | spl0_37
    | ~ spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f213,f318,f314,f377,f388]) ).

fof(f213,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c2_1(X19)
      | ~ c1_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c2_1(X19)
      | ~ c1_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( ~ spl0_22
    | spl0_40
    | spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f167,f321,f304,f388,f314]) ).

fof(f167,plain,
    ! [X18] :
      ( hskp20
      | hskp29
      | ~ c2_1(X18)
      | ~ c0_1(X18)
      | c1_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_37
    | ~ spl0_22
    | spl0_39
    | spl0_2 ),
    inference(avatar_split_clause,[],[f214,f224,f384,f314,f377]) ).

fof(f214,plain,
    ! [X16,X17] :
      ( hskp1
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c0_1(X17)
      | c1_1(X17) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X16,X17] :
      ( hskp1
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | ~ c0_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f382,plain,
    ( spl0_37
    | ~ spl0_22
    | spl0_38
    | spl0_11 ),
    inference(avatar_split_clause,[],[f215,f264,f380,f314,f377]) ).

fof(f215,plain,
    ! [X14,X15] :
      ( hskp21
      | ~ c2_1(X14)
      | ~ c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c0_1(X15)
      | c1_1(X15) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X14,X15] :
      ( hskp21
      | ~ c2_1(X14)
      | ~ c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c0_1(X15)
      | c1_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( spl0_35
    | ~ spl0_22
    | spl0_36
    | spl0_25 ),
    inference(avatar_split_clause,[],[f216,f326,f373,f314,f368]) ).

fof(f216,plain,
    ! [X12,X13] :
      ( hskp8
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0
      | ~ c3_1(X13)
      | ~ c2_1(X13)
      | c1_1(X13) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X12,X13] :
      ( hskp8
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0
      | ~ c3_1(X13)
      | ~ c2_1(X13)
      | c1_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( ~ spl0_22
    | spl0_35
    | spl0_20
    | spl0_17 ),
    inference(avatar_split_clause,[],[f171,f290,f304,f368,f314]) ).

fof(f171,plain,
    ! [X11] :
      ( hskp5
      | hskp29
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | c1_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( ~ spl0_22
    | spl0_35
    | spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f172,f242,f255,f368,f314]) ).

fof(f172,plain,
    ! [X10] :
      ( hskp0
      | hskp22
      | ~ c3_1(X10)
      | ~ c2_1(X10)
      | c1_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( spl0_34
    | ~ spl0_22
    | spl0_26
    | spl0_13 ),
    inference(avatar_split_clause,[],[f217,f272,f331,f314,f364]) ).

fof(f217,plain,
    ! [X8,X9] :
      ( hskp23
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X8,X9] :
      ( hskp23
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f354,plain,
    ( spl0_30
    | ~ spl0_22
    | spl0_27
    | spl0_6 ),
    inference(avatar_split_clause,[],[f218,f242,f335,f314,f347]) ).

fof(f218,plain,
    ! [X6,X5] :
      ( hskp0
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X6,X5] :
      ( hskp0
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f345,plain,
    ( ~ spl0_22
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f177,f342,f338,f335,f314]) ).

fof(f177,plain,
    ! [X3] :
      ( hskp4
      | hskp3
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f333,plain,
    ( ~ spl0_22
    | spl0_26
    | spl0_18
    | spl0_7 ),
    inference(avatar_split_clause,[],[f178,f246,f295,f331,f314]) ).

fof(f178,plain,
    ! [X2] :
      ( hskp19
      | hskp7
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f324,plain,
    ( ~ spl0_22
    | spl0_23
    | spl0_7
    | spl0_24 ),
    inference(avatar_split_clause,[],[f180,f321,f246,f318,f314]) ).

fof(f180,plain,
    ! [X0] :
      ( hskp20
      | hskp19
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f312,plain,
    ( spl0_20
    | spl0_9
    | spl0_21 ),
    inference(avatar_split_clause,[],[f181,f308,f255,f304]) ).

fof(f181,plain,
    ( hskp11
    | hskp22
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f311,plain,
    ( spl0_20
    | spl0_8
    | spl0_21 ),
    inference(avatar_split_clause,[],[f182,f308,f250,f304]) ).

fof(f182,plain,
    ( hskp11
    | hskp9
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f262,plain,
    ( spl0_9
    | spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f187,f250,f259,f255]) ).

fof(f187,plain,
    ( hskp9
    | hskp6
    | hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f253,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f188,f250,f246,f242]) ).

fof(f188,plain,
    ( hskp9
    | hskp19
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f240,plain,
    ( spl0_4
    | spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f189,f220,f237,f233]) ).

fof(f189,plain,
    ( hskp12
    | hskp25
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f231,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f190,f228,f224,f220]) ).

fof(f190,plain,
    ( hskp26
    | hskp1
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN462+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n006.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 01:40:50 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (21129)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (21140)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.39  % (21141)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39  % (21143)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39  % (21142)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39  % (21144)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39  % (21138)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.40  Detected minimum model sizes of [1]
% 0.22/0.40  Detected maximum model sizes of [31]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  % (21139)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40  Detected minimum model sizes of [1]
% 0.22/0.40  Detected maximum model sizes of [31]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  Detected minimum model sizes of [1]
% 0.22/0.40  Detected maximum model sizes of [31]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [2]
% 0.22/0.41  TRYING [3]
% 0.22/0.41  TRYING [3]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  Detected minimum model sizes of [1]
% 0.22/0.41  Detected maximum model sizes of [31]
% 0.22/0.41  TRYING [1]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [2]
% 0.22/0.41  TRYING [3]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.43  TRYING [5]
% 0.22/0.44  % (21143)First to succeed.
% 0.22/0.45  % (21140)Also succeeded, but the first one will report.
% 0.22/0.45  % (21143)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Theorem for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46  % (21143)------------------------------
% 0.22/0.46  % (21143)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.46  % (21143)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (21143)Memory used [KB]: 2001
% 0.22/0.46  % (21143)Time elapsed: 0.058 s
% 0.22/0.46  % (21143)Instructions burned: 95 (million)
% 0.22/0.46  % (21143)------------------------------
% 0.22/0.46  % (21143)------------------------------
% 0.22/0.46  % (21129)Success in time 0.094 s
%------------------------------------------------------------------------------