TSTP Solution File: SYN451+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN451+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 : n032.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 18:03:31 EDT 2024

% Result   : Theorem 0.13s 0.35s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  126
% Syntax   : Number of formulae    :  693 (   1 unt;   0 def)
%            Number of atoms       : 6076 (   0 equ)
%            Maximal formula atoms :  599 (   8 avg)
%            Number of connectives : 8128 (2745   ~;3840   |;1050   &)
%                                         ( 125 <=>; 368  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   95 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  160 ( 159 usr; 156 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  743 ( 743   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4057,plain,
    $false,
    inference(avatar_sat_refutation,[],[f225,f234,f243,f252,f265,f295,f316,f317,f329,f338,f346,f350,f357,f361,f362,f370,f389,f393,f398,f418,f422,f430,f436,f437,f438,f439,f450,f451,f456,f463,f465,f466,f470,f472,f476,f477,f478,f483,f484,f485,f506,f511,f516,f538,f543,f548,f554,f559,f564,f570,f575,f580,f602,f607,f612,f618,f623,f628,f634,f639,f644,f650,f655,f660,f682,f687,f692,f730,f735,f740,f762,f767,f772,f778,f783,f788,f794,f799,f804,f810,f815,f820,f821,f826,f831,f836,f842,f847,f852,f858,f863,f868,f874,f879,f884,f890,f895,f900,f906,f911,f916,f922,f927,f932,f938,f943,f948,f949,f1087,f1152,f1212,f1232,f1276,f1348,f1455,f1478,f1583,f1608,f1698,f1767,f1827,f1936,f1960,f2003,f2047,f2070,f2091,f2117,f2136,f2155,f2167,f2499,f2543,f2557,f2655,f2687,f2692,f2694,f2706,f2741,f2808,f2849,f2862,f2876,f2989,f3040,f3066,f3158,f3168,f3174,f3183,f3246,f3249,f3266,f3269,f3271,f3285,f3293,f3345,f3540,f3698,f3739,f3778,f3780,f3813,f3854,f3886,f3900,f4032,f4038]) ).

fof(f4038,plain,
    ( ~ spl0_43
    | spl0_125
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f4037]) ).

fof(f4037,plain,
    ( $false
    | ~ spl0_43
    | spl0_125
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f4036,f835]) ).

fof(f835,plain,
    ( c1_1(a741)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f833,plain,
    ( spl0_127
  <=> c1_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f4036,plain,
    ( ~ c1_1(a741)
    | ~ spl0_43
    | spl0_125
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f4014,f825]) ).

fof(f825,plain,
    ( ~ c0_1(a741)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f823,plain,
    ( spl0_125
  <=> c0_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f4014,plain,
    ( c0_1(a741)
    | ~ c1_1(a741)
    | ~ spl0_43
    | ~ spl0_126 ),
    inference(resolution,[],[f392,f830]) ).

fof(f830,plain,
    ( c3_1(a741)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f828,plain,
    ( spl0_126
  <=> c3_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f392,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c0_1(X30)
        | ~ c1_1(X30) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f391,plain,
    ( spl0_43
  <=> ! [X30] :
        ( ~ c3_1(X30)
        | c0_1(X30)
        | ~ c1_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f4032,plain,
    ( ~ spl0_43
    | spl0_131
    | ~ spl0_132
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f4031]) ).

fof(f4031,plain,
    ( $false
    | ~ spl0_43
    | spl0_131
    | ~ spl0_132
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f4030,f1711]) ).

fof(f1711,plain,
    ( c1_1(a735)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1709]) ).

fof(f1709,plain,
    ( spl0_157
  <=> c1_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f4030,plain,
    ( ~ c1_1(a735)
    | ~ spl0_43
    | spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f4012,f857]) ).

fof(f857,plain,
    ( ~ c0_1(a735)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f855,plain,
    ( spl0_131
  <=> c0_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f4012,plain,
    ( c0_1(a735)
    | ~ c1_1(a735)
    | ~ spl0_43
    | ~ spl0_132 ),
    inference(resolution,[],[f392,f862]) ).

fof(f862,plain,
    ( c3_1(a735)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_132
  <=> c3_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3900,plain,
    ( ~ spl0_160
    | ~ spl0_30
    | spl0_137
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f3899,f897,f887,f340,f2752]) ).

fof(f2752,plain,
    ( spl0_160
  <=> c3_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f340,plain,
    ( spl0_30
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | c1_1(X11)
        | ~ c2_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f887,plain,
    ( spl0_137
  <=> c1_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f897,plain,
    ( spl0_139
  <=> c2_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3899,plain,
    ( ~ c3_1(a733)
    | ~ spl0_30
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3898,f889]) ).

fof(f889,plain,
    ( ~ c1_1(a733)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f3898,plain,
    ( c1_1(a733)
    | ~ c3_1(a733)
    | ~ spl0_30
    | ~ spl0_139 ),
    inference(resolution,[],[f899,f341]) ).

fof(f341,plain,
    ( ! [X11] :
        ( ~ c2_1(X11)
        | c1_1(X11)
        | ~ c3_1(X11) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f899,plain,
    ( c2_1(a733)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f3886,plain,
    ( ~ spl0_108
    | ~ spl0_30
    | spl0_107
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3881,f737,f727,f340,f732]) ).

fof(f732,plain,
    ( spl0_108
  <=> c3_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f727,plain,
    ( spl0_107
  <=> c1_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f737,plain,
    ( spl0_109
  <=> c2_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3881,plain,
    ( ~ c3_1(a759)
    | ~ spl0_30
    | spl0_107
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f3867,f729]) ).

fof(f729,plain,
    ( ~ c1_1(a759)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f3867,plain,
    ( c1_1(a759)
    | ~ c3_1(a759)
    | ~ spl0_30
    | ~ spl0_109 ),
    inference(resolution,[],[f341,f739]) ).

fof(f739,plain,
    ( c2_1(a759)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f3854,plain,
    ( spl0_149
    | ~ spl0_24
    | ~ spl0_49
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f3847,f508,f416,f314,f1021]) ).

fof(f1021,plain,
    ( spl0_149
  <=> c3_1(a750) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f314,plain,
    ( spl0_24
  <=> ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f416,plain,
    ( spl0_49
  <=> ! [X38] :
        ( ~ c1_1(X38)
        | c0_1(X38)
        | c3_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f508,plain,
    ( spl0_66
  <=> c1_1(a750) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f3847,plain,
    ( c3_1(a750)
    | ~ spl0_24
    | ~ spl0_49
    | ~ spl0_66 ),
    inference(resolution,[],[f3822,f510]) ).

fof(f510,plain,
    ( c1_1(a750)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f3822,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5) )
    | ~ spl0_24
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f315,f417]) ).

fof(f417,plain,
    ( ! [X38] :
        ( ~ c1_1(X38)
        | c0_1(X38)
        | c3_1(X38) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f315,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c0_1(X5) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f3813,plain,
    ( ~ spl0_54
    | ~ spl0_61
    | spl0_141
    | spl0_142 ),
    inference(avatar_contradiction_clause,[],[f3812]) ).

fof(f3812,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_61
    | spl0_141
    | spl0_142 ),
    inference(subsumption_resolution,[],[f3805,f915]) ).

fof(f915,plain,
    ( ~ c0_1(a732)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f913,plain,
    ( spl0_142
  <=> c0_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f3805,plain,
    ( c0_1(a732)
    | ~ spl0_54
    | ~ spl0_61
    | spl0_141 ),
    inference(resolution,[],[f3801,f910]) ).

fof(f910,plain,
    ( ~ c2_1(a732)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl0_141
  <=> c2_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3801,plain,
    ( ! [X86] :
        ( c2_1(X86)
        | c0_1(X86) )
    | ~ spl0_54
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f482,f443]) ).

fof(f443,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55)
        | c2_1(X55) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl0_54
  <=> ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55)
        | c2_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f482,plain,
    ( ! [X86] :
        ( c2_1(X86)
        | c0_1(X86)
        | c1_1(X86) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_61
  <=> ! [X86] :
        ( c2_1(X86)
        | c0_1(X86)
        | c1_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3780,plain,
    ( spl0_160
    | ~ spl0_45
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f3779,f897,f892,f400,f2752]) ).

fof(f400,plain,
    ( spl0_45
  <=> ! [X35] :
        ( ~ c2_1(X35)
        | c0_1(X35)
        | c3_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f892,plain,
    ( spl0_138
  <=> c0_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3779,plain,
    ( c3_1(a733)
    | ~ spl0_45
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3776,f894]) ).

fof(f894,plain,
    ( ~ c0_1(a733)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f3776,plain,
    ( c0_1(a733)
    | c3_1(a733)
    | ~ spl0_45
    | ~ spl0_139 ),
    inference(resolution,[],[f899,f401]) ).

fof(f401,plain,
    ( ! [X35] :
        ( ~ c2_1(X35)
        | c0_1(X35)
        | c3_1(X35) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f3778,plain,
    ( spl0_160
    | ~ spl0_33
    | spl0_137
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f3777,f897,f887,f352,f2752]) ).

fof(f352,plain,
    ( spl0_33
  <=> ! [X14] :
        ( ~ c2_1(X14)
        | c1_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f3777,plain,
    ( c3_1(a733)
    | ~ spl0_33
    | spl0_137
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3774,f889]) ).

fof(f3774,plain,
    ( c1_1(a733)
    | c3_1(a733)
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(resolution,[],[f899,f353]) ).

fof(f353,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | c1_1(X14)
        | c3_1(X14) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f3739,plain,
    ( ~ spl0_51
    | ~ spl0_58
    | ~ spl0_59
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3738]) ).

fof(f3738,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_59
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f3723,f809]) ).

fof(f809,plain,
    ( ~ c1_1(a744)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f807,plain,
    ( spl0_122
  <=> c1_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3723,plain,
    ( c1_1(a744)
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_59
    | spl0_123
    | ~ spl0_124 ),
    inference(resolution,[],[f3714,f3323]) ).

fof(f3323,plain,
    ( c2_1(a744)
    | ~ spl0_51
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f3322,f814]) ).

fof(f814,plain,
    ( ~ c0_1(a744)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_123
  <=> c0_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f3322,plain,
    ( c0_1(a744)
    | c2_1(a744)
    | ~ spl0_51
    | ~ spl0_124 ),
    inference(resolution,[],[f819,f425]) ).

fof(f425,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | c2_1(X41) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f424,plain,
    ( spl0_51
  <=> ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f819,plain,
    ( c3_1(a744)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f817,plain,
    ( spl0_124
  <=> c3_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3714,plain,
    ( ! [X74] :
        ( ~ c2_1(X74)
        | c1_1(X74) )
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f469,f462]) ).

fof(f462,plain,
    ( ! [X65] :
        ( ~ c0_1(X65)
        | c1_1(X65)
        | ~ c2_1(X65) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f461,plain,
    ( spl0_58
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | c1_1(X65)
        | ~ c0_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f469,plain,
    ( ! [X74] :
        ( ~ c2_1(X74)
        | c0_1(X74)
        | c1_1(X74) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_59
  <=> ! [X74] :
        ( ~ c2_1(X74)
        | c0_1(X74)
        | c1_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3698,plain,
    ( ~ spl0_57
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3697]) ).

fof(f3697,plain,
    ( $false
    | ~ spl0_57
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f3696,f819]) ).

fof(f3696,plain,
    ( ~ c3_1(a744)
    | ~ spl0_57
    | spl0_122
    | spl0_123 ),
    inference(subsumption_resolution,[],[f3688,f814]) ).

fof(f3688,plain,
    ( c0_1(a744)
    | ~ c3_1(a744)
    | ~ spl0_57
    | spl0_122 ),
    inference(resolution,[],[f459,f809]) ).

fof(f459,plain,
    ( ! [X66] :
        ( c1_1(X66)
        | c0_1(X66)
        | ~ c3_1(X66) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl0_57
  <=> ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66)
        | c1_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3540,plain,
    ( ~ spl0_49
    | spl0_140
    | spl0_142
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3539]) ).

fof(f3539,plain,
    ( $false
    | ~ spl0_49
    | spl0_140
    | spl0_142
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3538,f905]) ).

fof(f905,plain,
    ( ~ c3_1(a732)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl0_140
  <=> c3_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3538,plain,
    ( c3_1(a732)
    | ~ spl0_49
    | spl0_142
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3537,f915]) ).

fof(f3537,plain,
    ( c0_1(a732)
    | c3_1(a732)
    | ~ spl0_49
    | ~ spl0_155 ),
    inference(resolution,[],[f1613,f417]) ).

fof(f1613,plain,
    ( c1_1(a732)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1612]) ).

fof(f1612,plain,
    ( spl0_155
  <=> c1_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3345,plain,
    ( spl0_49
    | ~ spl0_45
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f3337,f442,f420,f400,f416]) ).

fof(f420,plain,
    ( spl0_50
  <=> ! [X39] :
        ( ~ c1_1(X39)
        | c2_1(X39)
        | ~ c0_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3337,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_45
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(resolution,[],[f3304,f401]) ).

fof(f3304,plain,
    ( ! [X55] :
        ( c2_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f443,f421]) ).

fof(f421,plain,
    ( ! [X39] :
        ( c2_1(X39)
        | ~ c1_1(X39)
        | ~ c0_1(X39) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f3293,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_51
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2699,f801,f424,f796,f791]) ).

fof(f791,plain,
    ( spl0_119
  <=> c2_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f796,plain,
    ( spl0_120
  <=> c0_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f801,plain,
    ( spl0_121
  <=> c3_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2699,plain,
    ( c0_1(a746)
    | c2_1(a746)
    | ~ spl0_51
    | ~ spl0_121 ),
    inference(resolution,[],[f425,f803]) ).

fof(f803,plain,
    ( c3_1(a746)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f3285,plain,
    ( spl0_92
    | ~ spl0_26
    | spl0_93
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f3284,f1585,f652,f323,f647]) ).

fof(f647,plain,
    ( spl0_92
  <=> c3_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f323,plain,
    ( spl0_26
  <=> ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9)
        | c3_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f652,plain,
    ( spl0_93
  <=> c2_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1585,plain,
    ( spl0_153
  <=> c0_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3284,plain,
    ( c3_1(a775)
    | ~ spl0_26
    | spl0_93
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3203,f654]) ).

fof(f654,plain,
    ( ~ c2_1(a775)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f3203,plain,
    ( c2_1(a775)
    | c3_1(a775)
    | ~ spl0_26
    | ~ spl0_153 ),
    inference(resolution,[],[f1586,f324]) ).

fof(f324,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9)
        | c3_1(X9) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f1586,plain,
    ( c0_1(a775)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f3271,plain,
    ( ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_114
    | spl0_115 ),
    inference(avatar_contradiction_clause,[],[f3270]) ).

fof(f3270,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f3256,f771]) ).

fof(f771,plain,
    ( ~ c0_1(a749)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl0_115
  <=> c0_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3256,plain,
    ( c0_1(a749)
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_114 ),
    inference(resolution,[],[f3250,f766]) ).

fof(f766,plain,
    ( ~ c1_1(a749)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f764,plain,
    ( spl0_114
  <=> c1_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3250,plain,
    ( ! [X86] :
        ( c1_1(X86)
        | c0_1(X86) )
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f482,f2470]) ).

fof(f2470,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | c1_1(X14) )
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f353,f341]) ).

fof(f3269,plain,
    ( ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_117
    | spl0_118 ),
    inference(avatar_contradiction_clause,[],[f3268]) ).

fof(f3268,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_117
    | spl0_118 ),
    inference(subsumption_resolution,[],[f3255,f787]) ).

fof(f787,plain,
    ( ~ c0_1(a748)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_118
  <=> c0_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3255,plain,
    ( c0_1(a748)
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_117 ),
    inference(resolution,[],[f3250,f782]) ).

fof(f782,plain,
    ( ~ c1_1(a748)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_117
  <=> c1_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3266,plain,
    ( ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_142
    | spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3265]) ).

fof(f3265,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_142
    | spl0_155 ),
    inference(subsumption_resolution,[],[f3253,f915]) ).

fof(f3253,plain,
    ( c0_1(a732)
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_61
    | spl0_155 ),
    inference(resolution,[],[f3250,f1614]) ).

fof(f1614,plain,
    ( ~ c1_1(a732)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1612]) ).

fof(f3249,plain,
    ( ~ spl0_25
    | ~ spl0_34
    | ~ spl0_61
    | spl0_116
    | spl0_118 ),
    inference(avatar_contradiction_clause,[],[f3248]) ).

fof(f3248,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_34
    | ~ spl0_61
    | spl0_116
    | spl0_118 ),
    inference(subsumption_resolution,[],[f3235,f787]) ).

fof(f3235,plain,
    ( c0_1(a748)
    | ~ spl0_25
    | ~ spl0_34
    | ~ spl0_61
    | spl0_116 ),
    inference(resolution,[],[f3222,f777]) ).

fof(f777,plain,
    ( ~ c2_1(a748)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_116
  <=> c2_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3222,plain,
    ( ! [X86] :
        ( c2_1(X86)
        | c0_1(X86) )
    | ~ spl0_25
    | ~ spl0_34
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f482,f3202]) ).

fof(f3202,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13) )
    | ~ spl0_25
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f356,f320]) ).

fof(f320,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c2_1(X8)
        | c3_1(X8) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f319,plain,
    ( spl0_25
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c2_1(X8)
        | c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f356,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c1_1(X13) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_34
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3246,plain,
    ( ~ spl0_25
    | ~ spl0_34
    | ~ spl0_61
    | spl0_141
    | spl0_142 ),
    inference(avatar_contradiction_clause,[],[f3245]) ).

fof(f3245,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_34
    | ~ spl0_61
    | spl0_141
    | spl0_142 ),
    inference(subsumption_resolution,[],[f3232,f915]) ).

fof(f3232,plain,
    ( c0_1(a732)
    | ~ spl0_25
    | ~ spl0_34
    | ~ spl0_61
    | spl0_141 ),
    inference(resolution,[],[f3222,f910]) ).

fof(f3183,plain,
    ( ~ spl0_153
    | ~ spl0_94
    | ~ spl0_50
    | spl0_93 ),
    inference(avatar_split_clause,[],[f3080,f652,f420,f657,f1585]) ).

fof(f657,plain,
    ( spl0_94
  <=> c1_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3080,plain,
    ( ~ c1_1(a775)
    | ~ c0_1(a775)
    | ~ spl0_50
    | spl0_93 ),
    inference(resolution,[],[f421,f654]) ).

fof(f3174,plain,
    ( ~ spl0_51
    | spl0_116
    | spl0_118
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3173]) ).

fof(f3173,plain,
    ( $false
    | ~ spl0_51
    | spl0_116
    | spl0_118
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3172,f777]) ).

fof(f3172,plain,
    ( c2_1(a748)
    | ~ spl0_51
    | spl0_118
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3171,f787]) ).

fof(f3171,plain,
    ( c0_1(a748)
    | c2_1(a748)
    | ~ spl0_51
    | ~ spl0_152 ),
    inference(resolution,[],[f1505,f425]) ).

fof(f1505,plain,
    ( c3_1(a748)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1503]) ).

fof(f1503,plain,
    ( spl0_152
  <=> c3_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3168,plain,
    ( spl0_152
    | ~ spl0_60
    | spl0_117
    | spl0_118 ),
    inference(avatar_split_clause,[],[f3161,f785,f780,f474,f1503]) ).

fof(f474,plain,
    ( spl0_60
  <=> ! [X78] :
        ( c3_1(X78)
        | c0_1(X78)
        | c1_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f3161,plain,
    ( c3_1(a748)
    | ~ spl0_60
    | spl0_117
    | spl0_118 ),
    inference(subsumption_resolution,[],[f3148,f787]) ).

fof(f3148,plain,
    ( c0_1(a748)
    | c3_1(a748)
    | ~ spl0_60
    | spl0_117 ),
    inference(resolution,[],[f475,f782]) ).

fof(f475,plain,
    ( ! [X78] :
        ( c1_1(X78)
        | c0_1(X78)
        | c3_1(X78) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f3158,plain,
    ( ~ spl0_60
    | spl0_140
    | spl0_142
    | spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3157]) ).

fof(f3157,plain,
    ( $false
    | ~ spl0_60
    | spl0_140
    | spl0_142
    | spl0_155 ),
    inference(subsumption_resolution,[],[f3156,f905]) ).

fof(f3156,plain,
    ( c3_1(a732)
    | ~ spl0_60
    | spl0_142
    | spl0_155 ),
    inference(subsumption_resolution,[],[f3146,f915]) ).

fof(f3146,plain,
    ( c0_1(a732)
    | c3_1(a732)
    | ~ spl0_60
    | spl0_155 ),
    inference(resolution,[],[f475,f1614]) ).

fof(f3066,plain,
    ( spl0_74
    | ~ spl0_26
    | spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f3063,f561,f556,f323,f551]) ).

fof(f551,plain,
    ( spl0_74
  <=> c3_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f556,plain,
    ( spl0_75
  <=> c2_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f561,plain,
    ( spl0_76
  <=> c0_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f3063,plain,
    ( c3_1(a802)
    | ~ spl0_26
    | spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f3056,f558]) ).

fof(f558,plain,
    ( ~ c2_1(a802)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f3056,plain,
    ( c2_1(a802)
    | c3_1(a802)
    | ~ spl0_26
    | ~ spl0_76 ),
    inference(resolution,[],[f324,f563]) ).

fof(f563,plain,
    ( c0_1(a802)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f3040,plain,
    ( ~ spl0_149
    | ~ spl0_18
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3039,f513,f503,f288,f1021]) ).

fof(f288,plain,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f503,plain,
    ( spl0_65
  <=> c2_1(a750) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f513,plain,
    ( spl0_67
  <=> c0_1(a750) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3039,plain,
    ( ~ c3_1(a750)
    | ~ spl0_18
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f3028,f515]) ).

fof(f515,plain,
    ( c0_1(a750)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f3028,plain,
    ( ~ c0_1(a750)
    | ~ c3_1(a750)
    | ~ spl0_18
    | ~ spl0_65 ),
    inference(resolution,[],[f289,f505]) ).

fof(f505,plain,
    ( c2_1(a750)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f289,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f2989,plain,
    ( ~ spl0_49
    | ~ spl0_60
    | spl0_113
    | spl0_115 ),
    inference(avatar_contradiction_clause,[],[f2988]) ).

fof(f2988,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_60
    | spl0_113
    | spl0_115 ),
    inference(subsumption_resolution,[],[f2976,f771]) ).

fof(f2976,plain,
    ( c0_1(a749)
    | ~ spl0_49
    | ~ spl0_60
    | spl0_113 ),
    inference(resolution,[],[f2970,f761]) ).

fof(f761,plain,
    ( ~ c3_1(a749)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl0_113
  <=> c3_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2970,plain,
    ( ! [X78] :
        ( c3_1(X78)
        | c0_1(X78) )
    | ~ spl0_49
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f475,f417]) ).

fof(f2876,plain,
    ( spl0_157
    | ~ spl0_30
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2875,f865,f860,f340,f1709]) ).

fof(f865,plain,
    ( spl0_133
  <=> c2_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2875,plain,
    ( c1_1(a735)
    | ~ spl0_30
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2873,f862]) ).

fof(f2873,plain,
    ( c1_1(a735)
    | ~ c3_1(a735)
    | ~ spl0_30
    | ~ spl0_133 ),
    inference(resolution,[],[f867,f341]) ).

fof(f867,plain,
    ( c2_1(a735)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f2862,plain,
    ( ~ spl0_34
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2861]) ).

fof(f2861,plain,
    ( $false
    | ~ spl0_34
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2860,f931]) ).

fof(f931,plain,
    ( c1_1(a731)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f929,plain,
    ( spl0_145
  <=> c1_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2860,plain,
    ( ~ c1_1(a731)
    | ~ spl0_34
    | spl0_143
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2852,f921]) ).

fof(f921,plain,
    ( ~ c2_1(a731)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_143
  <=> c2_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2852,plain,
    ( c2_1(a731)
    | ~ c1_1(a731)
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(resolution,[],[f356,f926]) ).

fof(f926,plain,
    ( c3_1(a731)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_144
  <=> c3_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2849,plain,
    ( ~ spl0_30
    | ~ spl0_33
    | ~ spl0_37
    | spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2848]) ).

fof(f2848,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_37
    | spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2840,f942]) ).

fof(f942,plain,
    ( c3_1(a730)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_147
  <=> c3_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2840,plain,
    ( ~ c3_1(a730)
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_37
    | spl0_146 ),
    inference(resolution,[],[f2837,f937]) ).

fof(f937,plain,
    ( ~ c1_1(a730)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_146
  <=> c1_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2837,plain,
    ( ! [X22] :
        ( c1_1(X22)
        | ~ c3_1(X22) )
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f369,f2470]) ).

fof(f369,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | c2_1(X22) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f368,plain,
    ( spl0_37
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | c2_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2808,plain,
    ( spl0_122
    | ~ spl0_30
    | ~ spl0_51
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2807,f817,f812,f424,f340,f807]) ).

fof(f2807,plain,
    ( c1_1(a744)
    | ~ spl0_30
    | ~ spl0_51
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f2801,f819]) ).

fof(f2801,plain,
    ( c1_1(a744)
    | ~ c3_1(a744)
    | ~ spl0_30
    | ~ spl0_51
    | spl0_123
    | ~ spl0_124 ),
    inference(resolution,[],[f2707,f341]) ).

fof(f2707,plain,
    ( c2_1(a744)
    | ~ spl0_51
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f2698,f814]) ).

fof(f2698,plain,
    ( c0_1(a744)
    | c2_1(a744)
    | ~ spl0_51
    | ~ spl0_124 ),
    inference(resolution,[],[f425,f819]) ).

fof(f2741,plain,
    ( spl0_142
    | ~ spl0_51
    | ~ spl0_56
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2723,f908,f453,f424,f913]) ).

fof(f453,plain,
    ( spl0_56
  <=> ! [X62] :
        ( c3_1(X62)
        | c0_1(X62)
        | c2_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2723,plain,
    ( c0_1(a732)
    | ~ spl0_51
    | ~ spl0_56
    | spl0_141 ),
    inference(resolution,[],[f2713,f910]) ).

fof(f2713,plain,
    ( ! [X62] :
        ( c2_1(X62)
        | c0_1(X62) )
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f454,f425]) ).

fof(f454,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | c0_1(X62)
        | c2_1(X62) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f2706,plain,
    ( ~ spl0_50
    | ~ spl0_51
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2705]) ).

fof(f2705,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_51
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2704,f921]) ).

fof(f2704,plain,
    ( c2_1(a731)
    | ~ spl0_50
    | ~ spl0_51
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2696,f2577]) ).

fof(f2577,plain,
    ( ~ c0_1(a731)
    | ~ spl0_50
    | spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2566,f931]) ).

fof(f2566,plain,
    ( ~ c1_1(a731)
    | ~ c0_1(a731)
    | ~ spl0_50
    | spl0_143 ),
    inference(resolution,[],[f421,f921]) ).

fof(f2696,plain,
    ( c0_1(a731)
    | c2_1(a731)
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(resolution,[],[f425,f926]) ).

fof(f2694,plain,
    ( ~ spl0_158
    | ~ spl0_73
    | ~ spl0_46
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2664,f535,f403,f545,f2113]) ).

fof(f2113,plain,
    ( spl0_158
  <=> c1_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f545,plain,
    ( spl0_73
  <=> c0_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f403,plain,
    ( spl0_46
  <=> ! [X34] :
        ( ~ c3_1(X34)
        | ~ c0_1(X34)
        | ~ c1_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f535,plain,
    ( spl0_71
  <=> c3_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2664,plain,
    ( ~ c0_1(a729)
    | ~ c1_1(a729)
    | ~ spl0_46
    | ~ spl0_71 ),
    inference(resolution,[],[f404,f537]) ).

fof(f537,plain,
    ( c3_1(a729)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f404,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | ~ c0_1(X34)
        | ~ c1_1(X34) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f2692,plain,
    ( spl0_158
    | ~ spl0_30
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2691,f540,f535,f340,f2113]) ).

fof(f540,plain,
    ( spl0_72
  <=> c2_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2691,plain,
    ( c1_1(a729)
    | ~ spl0_30
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f2586,f537]) ).

fof(f2586,plain,
    ( c1_1(a729)
    | ~ c3_1(a729)
    | ~ spl0_30
    | ~ spl0_72 ),
    inference(resolution,[],[f542,f341]) ).

fof(f542,plain,
    ( c2_1(a729)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f2687,plain,
    ( spl0_146
    | ~ spl0_30
    | ~ spl0_147
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2686,f1148,f940,f340,f935]) ).

fof(f1148,plain,
    ( spl0_150
  <=> c2_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2686,plain,
    ( c1_1(a730)
    | ~ spl0_30
    | ~ spl0_147
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2563,f942]) ).

fof(f2563,plain,
    ( c1_1(a730)
    | ~ c3_1(a730)
    | ~ spl0_30
    | ~ spl0_150 ),
    inference(resolution,[],[f1150,f341]) ).

fof(f1150,plain,
    ( c2_1(a730)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1148]) ).

fof(f2655,plain,
    ( ~ spl0_41
    | ~ spl0_51
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f2654]) ).

fof(f2654,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_51
    | spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f2645,f814]) ).

fof(f2645,plain,
    ( c0_1(a744)
    | ~ spl0_41
    | ~ spl0_51
    | ~ spl0_124 ),
    inference(resolution,[],[f2641,f819]) ).

fof(f2641,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41) )
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f425,f385]) ).

fof(f385,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | c0_1(X28)
        | ~ c3_1(X28) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl0_41
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c0_1(X28)
        | ~ c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2557,plain,
    ( ~ spl0_49
    | spl0_92
    | ~ spl0_94
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2556]) ).

fof(f2556,plain,
    ( $false
    | ~ spl0_49
    | spl0_92
    | ~ spl0_94
    | spl0_153 ),
    inference(subsumption_resolution,[],[f2555,f649]) ).

fof(f649,plain,
    ( ~ c3_1(a775)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f2555,plain,
    ( c3_1(a775)
    | ~ spl0_49
    | ~ spl0_94
    | spl0_153 ),
    inference(subsumption_resolution,[],[f2535,f1587]) ).

fof(f1587,plain,
    ( ~ c0_1(a775)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f2535,plain,
    ( c0_1(a775)
    | c3_1(a775)
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(resolution,[],[f417,f659]) ).

fof(f659,plain,
    ( c1_1(a775)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f2543,plain,
    ( ~ spl0_49
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2542]) ).

fof(f2542,plain,
    ( $false
    | ~ spl0_49
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2541,f873]) ).

fof(f873,plain,
    ( ~ c3_1(a734)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl0_134
  <=> c3_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2541,plain,
    ( c3_1(a734)
    | ~ spl0_49
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2527,f878]) ).

fof(f878,plain,
    ( ~ c0_1(a734)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_135
  <=> c0_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2527,plain,
    ( c0_1(a734)
    | c3_1(a734)
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(resolution,[],[f417,f883]) ).

fof(f883,plain,
    ( c1_1(a734)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f881,plain,
    ( spl0_136
  <=> c1_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2499,plain,
    ( ~ spl0_24
    | ~ spl0_30
    | ~ spl0_33
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f2498]) ).

fof(f2498,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_30
    | ~ spl0_33
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f2497,f691]) ).

fof(f691,plain,
    ( c0_1(a764)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl0_100
  <=> c0_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2497,plain,
    ( ~ c0_1(a764)
    | ~ spl0_24
    | ~ spl0_30
    | ~ spl0_33
    | spl0_98
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f2496,f681]) ).

fof(f681,plain,
    ( ~ c3_1(a764)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_98
  <=> c3_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2496,plain,
    ( c3_1(a764)
    | ~ c0_1(a764)
    | ~ spl0_24
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_99 ),
    inference(resolution,[],[f2475,f315]) ).

fof(f2475,plain,
    ( c1_1(a764)
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_99 ),
    inference(resolution,[],[f2470,f686]) ).

fof(f686,plain,
    ( c2_1(a764)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f684,plain,
    ( spl0_99
  <=> c2_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2167,plain,
    ( ~ spl0_35
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f2166]) ).

fof(f2166,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f2165,f510]) ).

fof(f2165,plain,
    ( ~ c1_1(a750)
    | ~ spl0_35
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f2164,f505]) ).

fof(f2164,plain,
    ( ~ c2_1(a750)
    | ~ c1_1(a750)
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(resolution,[],[f515,f360]) ).

fof(f360,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | ~ c2_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f359,plain,
    ( spl0_35
  <=> ! [X15] :
        ( ~ c2_1(X15)
        | ~ c0_1(X15)
        | ~ c1_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2155,plain,
    ( ~ spl0_157
    | ~ spl0_16
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2154,f865,f860,f280,f1709]) ).

fof(f280,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2154,plain,
    ( ~ c1_1(a735)
    | ~ spl0_16
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1914,f862]) ).

fof(f1914,plain,
    ( ~ c1_1(a735)
    | ~ c3_1(a735)
    | ~ spl0_16
    | ~ spl0_133 ),
    inference(resolution,[],[f867,f281]) ).

fof(f281,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f2136,plain,
    ( ~ spl0_42
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | ~ spl0_42
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f2134,f606]) ).

fof(f606,plain,
    ( c3_1(a793)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f604,plain,
    ( spl0_84
  <=> c3_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2134,plain,
    ( ~ c3_1(a793)
    | ~ spl0_42
    | spl0_83
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f2126,f601]) ).

fof(f601,plain,
    ( ~ c2_1(a793)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f599,plain,
    ( spl0_83
  <=> c2_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2126,plain,
    ( c2_1(a793)
    | ~ c3_1(a793)
    | ~ spl0_42
    | ~ spl0_85 ),
    inference(resolution,[],[f388,f611]) ).

fof(f611,plain,
    ( c0_1(a793)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl0_85
  <=> c0_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f388,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c2_1(X26)
        | ~ c3_1(X26) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f387,plain,
    ( spl0_42
  <=> ! [X26] :
        ( ~ c3_1(X26)
        | c2_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2117,plain,
    ( ~ spl0_158
    | ~ spl0_72
    | ~ spl0_35
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2022,f545,f359,f540,f2113]) ).

fof(f2022,plain,
    ( ~ c2_1(a729)
    | ~ c1_1(a729)
    | ~ spl0_35
    | ~ spl0_73 ),
    inference(resolution,[],[f360,f547]) ).

fof(f547,plain,
    ( c0_1(a729)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f2091,plain,
    ( ~ spl0_41
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2090]) ).

fof(f2090,plain,
    ( $false
    | ~ spl0_41
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2089,f862]) ).

fof(f2089,plain,
    ( ~ c3_1(a735)
    | ~ spl0_41
    | spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2084,f857]) ).

fof(f2084,plain,
    ( c0_1(a735)
    | ~ c3_1(a735)
    | ~ spl0_41
    | ~ spl0_133 ),
    inference(resolution,[],[f385,f867]) ).

fof(f2070,plain,
    ( ~ spl0_25
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2069]) ).

fof(f2069,plain,
    ( $false
    | ~ spl0_25
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2068,f649]) ).

fof(f2068,plain,
    ( c3_1(a775)
    | ~ spl0_25
    | spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f2060,f654]) ).

fof(f2060,plain,
    ( c2_1(a775)
    | c3_1(a775)
    | ~ spl0_25
    | ~ spl0_94 ),
    inference(resolution,[],[f320,f659]) ).

fof(f2047,plain,
    ( spl0_150
    | ~ spl0_38
    | spl0_146
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2034,f945,f935,f372,f1148]) ).

fof(f372,plain,
    ( spl0_38
  <=> ! [X24] :
        ( ~ c0_1(X24)
        | c1_1(X24)
        | c2_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f945,plain,
    ( spl0_148
  <=> c0_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2034,plain,
    ( c2_1(a730)
    | ~ spl0_38
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2025,f937]) ).

fof(f2025,plain,
    ( c1_1(a730)
    | c2_1(a730)
    | ~ spl0_38
    | ~ spl0_148 ),
    inference(resolution,[],[f373,f947]) ).

fof(f947,plain,
    ( c0_1(a730)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f373,plain,
    ( ! [X24] :
        ( ~ c0_1(X24)
        | c1_1(X24)
        | c2_1(X24) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f2003,plain,
    ( ~ spl0_32
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | ~ spl0_32
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2001,f947]) ).

fof(f2001,plain,
    ( ~ c0_1(a730)
    | ~ spl0_32
    | spl0_146
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1988,f942]) ).

fof(f1988,plain,
    ( ~ c3_1(a730)
    | ~ c0_1(a730)
    | ~ spl0_32
    | spl0_146 ),
    inference(resolution,[],[f349,f937]) ).

fof(f349,plain,
    ( ! [X12] :
        ( c1_1(X12)
        | ~ c3_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f348,plain,
    ( spl0_32
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c1_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1960,plain,
    ( ~ spl0_24
    | spl0_77
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1959]) ).

fof(f1959,plain,
    ( $false
    | ~ spl0_24
    | spl0_77
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1958,f579]) ).

fof(f579,plain,
    ( c0_1(a798)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl0_79
  <=> c0_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1958,plain,
    ( ~ c0_1(a798)
    | ~ spl0_24
    | spl0_77
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1951,f569]) ).

fof(f569,plain,
    ( ~ c3_1(a798)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl0_77
  <=> c3_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1951,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_24
    | ~ spl0_78 ),
    inference(resolution,[],[f315,f574]) ).

fof(f574,plain,
    ( c1_1(a798)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_78
  <=> c1_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1936,plain,
    ( ~ spl0_38
    | ~ spl0_50
    | spl0_83
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1935]) ).

fof(f1935,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_50
    | spl0_83
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1921,f601]) ).

fof(f1921,plain,
    ( c2_1(a793)
    | ~ spl0_38
    | ~ spl0_50
    | ~ spl0_85 ),
    inference(resolution,[],[f1912,f611]) ).

fof(f1912,plain,
    ( ! [X24] :
        ( ~ c0_1(X24)
        | c2_1(X24) )
    | ~ spl0_38
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f373,f421]) ).

fof(f1827,plain,
    ( ~ spl0_59
    | spl0_131
    | ~ spl0_133
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1826]) ).

fof(f1826,plain,
    ( $false
    | ~ spl0_59
    | spl0_131
    | ~ spl0_133
    | spl0_157 ),
    inference(subsumption_resolution,[],[f1825,f1710]) ).

fof(f1710,plain,
    ( ~ c1_1(a735)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1709]) ).

fof(f1825,plain,
    ( c1_1(a735)
    | ~ spl0_59
    | spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1820,f857]) ).

fof(f1820,plain,
    ( c0_1(a735)
    | c1_1(a735)
    | ~ spl0_59
    | ~ spl0_133 ),
    inference(resolution,[],[f469,f867]) ).

fof(f1767,plain,
    ( ~ spl0_54
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1766]) ).

fof(f1766,plain,
    ( $false
    | ~ spl0_54
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1765,f841]) ).

fof(f841,plain,
    ( ~ c2_1(a738)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_128
  <=> c2_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1765,plain,
    ( c2_1(a738)
    | ~ spl0_54
    | spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1757,f846]) ).

fof(f846,plain,
    ( ~ c0_1(a738)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_129
  <=> c0_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1757,plain,
    ( c0_1(a738)
    | c2_1(a738)
    | ~ spl0_54
    | ~ spl0_130 ),
    inference(resolution,[],[f443,f851]) ).

fof(f851,plain,
    ( c1_1(a738)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_130
  <=> c1_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1698,plain,
    ( ~ spl0_44
    | ~ spl0_50
    | ~ spl0_54
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1697]) ).

fof(f1697,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_50
    | ~ spl0_54
    | spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1687,f878]) ).

fof(f1687,plain,
    ( c0_1(a734)
    | ~ spl0_44
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_136 ),
    inference(resolution,[],[f1616,f883]) ).

fof(f1616,plain,
    ( ! [X31] :
        ( ~ c1_1(X31)
        | c0_1(X31) )
    | ~ spl0_44
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f396,f1525]) ).

fof(f1525,plain,
    ( ! [X55] :
        ( c2_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f443,f421]) ).

fof(f396,plain,
    ( ! [X31] :
        ( ~ c2_1(X31)
        | c0_1(X31)
        | ~ c1_1(X31) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_44
  <=> ! [X31] :
        ( ~ c2_1(X31)
        | c0_1(X31)
        | ~ c1_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1608,plain,
    ( spl0_107
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1422,f737,f352,f340,f727]) ).

fof(f1422,plain,
    ( c1_1(a759)
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_109 ),
    inference(resolution,[],[f1354,f739]) ).

fof(f1354,plain,
    ( ! [X11] :
        ( ~ c2_1(X11)
        | c1_1(X11) )
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f341,f353]) ).

fof(f1583,plain,
    ( ~ spl0_94
    | ~ spl0_50
    | ~ spl0_54
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1580,f652,f442,f420,f657]) ).

fof(f1580,plain,
    ( ~ c1_1(a775)
    | ~ spl0_50
    | ~ spl0_54
    | spl0_93 ),
    inference(resolution,[],[f654,f1525]) ).

fof(f1478,plain,
    ( ~ spl0_30
    | ~ spl0_33
    | ~ spl0_44
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1477,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_44
    | spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f1473,f638]) ).

fof(f638,plain,
    ( ~ c0_1(a777)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f636,plain,
    ( spl0_90
  <=> c0_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1473,plain,
    ( c0_1(a777)
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_91 ),
    inference(resolution,[],[f1465,f643]) ).

fof(f643,plain,
    ( c2_1(a777)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f641,plain,
    ( spl0_91
  <=> c2_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1465,plain,
    ( ! [X31] :
        ( ~ c2_1(X31)
        | c0_1(X31) )
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f396,f1354]) ).

fof(f1455,plain,
    ( ~ spl0_30
    | ~ spl0_33
    | ~ spl0_38
    | spl0_146
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_38
    | spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1444,f947]) ).

fof(f1444,plain,
    ( ~ c0_1(a730)
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_38
    | spl0_146 ),
    inference(resolution,[],[f1440,f937]) ).

fof(f1440,plain,
    ( ! [X24] :
        ( c1_1(X24)
        | ~ c0_1(X24) )
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f373,f1354]) ).

fof(f1348,plain,
    ( ~ spl0_33
    | spl0_86
    | spl0_87
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | ~ spl0_33
    | spl0_86
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f1346,f617]) ).

fof(f617,plain,
    ( ~ c3_1(a779)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl0_86
  <=> c3_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1346,plain,
    ( c3_1(a779)
    | ~ spl0_33
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f1338,f622]) ).

fof(f622,plain,
    ( ~ c1_1(a779)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl0_87
  <=> c1_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1338,plain,
    ( c1_1(a779)
    | c3_1(a779)
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(resolution,[],[f353,f627]) ).

fof(f627,plain,
    ( c2_1(a779)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f625,plain,
    ( spl0_88
  <=> c2_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1276,plain,
    ( ~ spl0_73
    | ~ spl0_18
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1275,f540,f535,f288,f545]) ).

fof(f1275,plain,
    ( ~ c0_1(a729)
    | ~ spl0_18
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1206,f537]) ).

fof(f1206,plain,
    ( ~ c0_1(a729)
    | ~ c3_1(a729)
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(resolution,[],[f542,f289]) ).

fof(f1232,plain,
    ( ~ spl0_18
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_54
    | spl0_143
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1231]) ).

fof(f1231,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_54
    | spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1224,f931]) ).

fof(f1224,plain,
    ( ~ c1_1(a731)
    | ~ spl0_18
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_54
    | spl0_143 ),
    inference(resolution,[],[f1220,f921]) ).

fof(f1220,plain,
    ( ! [X55] :
        ( c2_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_18
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f443,f1184]) ).

fof(f1184,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9) )
    | ~ spl0_18
    | ~ spl0_26
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f324,f1073]) ).

fof(f1073,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | ~ c3_1(X26) )
    | ~ spl0_18
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f388,f289]) ).

fof(f1212,plain,
    ( ~ spl0_18
    | ~ spl0_42
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1211]) ).

fof(f1211,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_42
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1210,f537]) ).

fof(f1210,plain,
    ( ~ c3_1(a729)
    | ~ spl0_18
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(resolution,[],[f547,f1073]) ).

fof(f1152,plain,
    ( ~ spl0_147
    | ~ spl0_18
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1140,f945,f387,f288,f940]) ).

fof(f1140,plain,
    ( ~ c3_1(a730)
    | ~ spl0_18
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(resolution,[],[f947,f1073]) ).

fof(f1087,plain,
    ( ~ spl0_45
    | spl0_89
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1086,plain,
    ( $false
    | ~ spl0_45
    | spl0_89
    | spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f1085,f633]) ).

fof(f633,plain,
    ( ~ c3_1(a777)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl0_89
  <=> c3_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1085,plain,
    ( c3_1(a777)
    | ~ spl0_45
    | spl0_90
    | ~ spl0_91 ),
    inference(subsumption_resolution,[],[f1081,f638]) ).

fof(f1081,plain,
    ( c0_1(a777)
    | c3_1(a777)
    | ~ spl0_45
    | ~ spl0_91 ),
    inference(resolution,[],[f401,f643]) ).

fof(f949,plain,
    ( ~ spl0_4
    | spl0_15 ),
    inference(avatar_split_clause,[],[f7,f276,f227]) ).

fof(f227,plain,
    ( spl0_4
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f276,plain,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp4
      | hskp1
      | hskp7 )
    & ( hskp8
      | hskp0 )
    & ( hskp19
      | hskp5
      | hskp0 )
    & ( hskp19
      | hskp18
      | hskp16 )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( hskp17
      | hskp21
      | hskp23 )
    & ( hskp22
      | hskp16
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp21
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp28
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp27
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp18
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp28
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp16
      | ! [X9] :
          ( ~ c0_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp5
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | c3_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | c3_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp27
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c1_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c0_1(X24)
          | c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp27
      | ! [X25] :
          ( c3_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c2_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp27
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | c0_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | c0_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | c3_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X36] :
          ( ~ c1_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp0
      | ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp12
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp25
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp27
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c1_1(X45)
          | ~ c0_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp5
      | ! [X62] :
          ( c3_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( ~ c1_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X74] :
          ( ~ c2_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp26
      | ! [X75] :
          ( ~ c2_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c2_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X78] :
          ( c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X86] :
          ( c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | c3_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a784)
        & c1_1(a784)
        & c0_1(a784)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a750)
        & c1_1(a750)
        & c0_1(a750)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a737)
        & c2_1(a737)
        & c1_1(a737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a729)
        & c2_1(a729)
        & c0_1(a729)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a802)
        & ~ c2_1(a802)
        & c0_1(a802)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a798)
        & c1_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a797)
        & ~ c1_1(a797)
        & c3_1(a797)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a793)
        & c3_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a779)
        & ~ c1_1(a779)
        & c2_1(a779)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a777)
        & ~ c0_1(a777)
        & c2_1(a777)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a775)
        & ~ c2_1(a775)
        & c1_1(a775)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a766)
        & c2_1(a766)
        & c1_1(a766)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a763)
        & c1_1(a763)
        & c0_1(a763)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a762)
        & ~ c1_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a759)
        & c3_1(a759)
        & c2_1(a759)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a755)
        & c2_1(a755)
        & c1_1(a755)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a749)
        & ~ c1_1(a749)
        & ~ c0_1(a749)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a748)
        & ~ c1_1(a748)
        & ~ c0_1(a748)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a746)
        & ~ c0_1(a746)
        & c3_1(a746)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a744)
        & ~ c0_1(a744)
        & c3_1(a744)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a738)
        & ~ c0_1(a738)
        & c1_1(a738)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a735)
        & c3_1(a735)
        & c2_1(a735)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a734)
        & ~ c0_1(a734)
        & c1_1(a734)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a733)
        & ~ c0_1(a733)
        & c2_1(a733)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a732)
        & ~ c2_1(a732)
        & ~ c0_1(a732)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a731)
        & c3_1(a731)
        & c1_1(a731)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a730)
        & c3_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp4
      | hskp1
      | hskp7 )
    & ( hskp8
      | hskp0 )
    & ( hskp19
      | hskp5
      | hskp0 )
    & ( hskp19
      | hskp18
      | hskp16 )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( hskp17
      | hskp21
      | hskp23 )
    & ( hskp22
      | hskp16
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp21
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp28
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp27
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp18
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp28
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp16
      | ! [X9] :
          ( ~ c0_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp5
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | c3_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | c3_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp27
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c1_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c0_1(X24)
          | c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp27
      | ! [X25] :
          ( c3_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c2_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp27
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | c0_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | c0_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | c3_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X36] :
          ( ~ c1_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp0
      | ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp12
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp25
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp27
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c1_1(X45)
          | ~ c0_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp5
      | ! [X62] :
          ( c3_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( ~ c1_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X74] :
          ( ~ c2_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp26
      | ! [X75] :
          ( ~ c2_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c2_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X78] :
          ( c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X86] :
          ( c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | c3_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a784)
        & c1_1(a784)
        & c0_1(a784)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a750)
        & c1_1(a750)
        & c0_1(a750)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a737)
        & c2_1(a737)
        & c1_1(a737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a729)
        & c2_1(a729)
        & c0_1(a729)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a802)
        & ~ c2_1(a802)
        & c0_1(a802)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a798)
        & c1_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a797)
        & ~ c1_1(a797)
        & c3_1(a797)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a793)
        & c3_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a779)
        & ~ c1_1(a779)
        & c2_1(a779)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a777)
        & ~ c0_1(a777)
        & c2_1(a777)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a775)
        & ~ c2_1(a775)
        & c1_1(a775)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a766)
        & c2_1(a766)
        & c1_1(a766)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a763)
        & c1_1(a763)
        & c0_1(a763)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a762)
        & ~ c1_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a759)
        & c3_1(a759)
        & c2_1(a759)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a755)
        & c2_1(a755)
        & c1_1(a755)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a749)
        & ~ c1_1(a749)
        & ~ c0_1(a749)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a748)
        & ~ c1_1(a748)
        & ~ c0_1(a748)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a746)
        & ~ c0_1(a746)
        & c3_1(a746)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a744)
        & ~ c0_1(a744)
        & c3_1(a744)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a738)
        & ~ c0_1(a738)
        & c1_1(a738)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a735)
        & c3_1(a735)
        & c2_1(a735)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a734)
        & ~ c0_1(a734)
        & c1_1(a734)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a733)
        & ~ c0_1(a733)
        & c2_1(a733)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a732)
        & ~ c2_1(a732)
        & ~ c0_1(a732)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a731)
        & c3_1(a731)
        & c1_1(a731)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a730)
        & c3_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp4
      | hskp1
      | hskp7 )
    & ( hskp8
      | hskp0 )
    & ( hskp19
      | hskp5
      | hskp0 )
    & ( hskp19
      | hskp18
      | hskp16 )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( hskp17
      | hskp21
      | hskp23 )
    & ( hskp22
      | hskp16
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp2
      | hskp21
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp21
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp11
      | hskp28
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp11
      | hskp27
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp11
      | hskp18
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp1
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c2_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp16
      | hskp28
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | c3_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp3
      | hskp16
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp9
      | hskp25
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp20
      | hskp5
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | c1_1(X11) ) ) )
    & ( hskp19
      | hskp27
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c1_1(X12) ) ) )
    & ( hskp18
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | c3_1(X14)
            | c1_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c3_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp5
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c3_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp5
      | hskp27
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp11
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c1_1(X21)
            | c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp26
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c2_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp0
      | hskp27
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c2_1(X25)
            | c1_1(X25) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp2
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp17
      | hskp27
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c1_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp16
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | ~ c0_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c1_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp15
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c1_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | c3_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp14
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c3_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp9
      | hskp0
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c3_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp13
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c3_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp4
      | hskp6
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp7
      | hskp12
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp6
      | hskp25
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp11
      | hskp27
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | ~ c0_1(X45)
            | c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | c2_1(X47)
            | c0_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp27
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c2_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp11
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp10
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp5
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c2_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp9
      | hskp5
      | ! [X62] :
          ( ndr1_0
         => ( c3_1(X62)
            | c2_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp8
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp4
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c0_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c1_1(X66)
            | c0_1(X66) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c0_1(X67)
            | c2_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c3_1(X68)
            | c1_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c1_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp5
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c1_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp7
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c1_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp2
      | hskp1
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c1_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp6
      | hskp26
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c1_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp0
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c1_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp5
      | hskp4
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c1_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp3
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c3_1(X82)
            | c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp2
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp1
      | hskp0
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp25
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c1_1(X89)
            | ~ c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c3_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( ( c3_1(a784)
        & c1_1(a784)
        & c0_1(a784)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a750)
        & c1_1(a750)
        & c0_1(a750)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a737)
        & c2_1(a737)
        & c1_1(a737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a729)
        & c2_1(a729)
        & c0_1(a729)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a802)
        & ~ c2_1(a802)
        & c0_1(a802)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a798)
        & c1_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a797)
        & ~ c1_1(a797)
        & c3_1(a797)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a793)
        & c3_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a779)
        & ~ c1_1(a779)
        & c2_1(a779)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a777)
        & ~ c0_1(a777)
        & c2_1(a777)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a775)
        & ~ c2_1(a775)
        & c1_1(a775)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a766)
        & c2_1(a766)
        & c1_1(a766)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a763)
        & c1_1(a763)
        & c0_1(a763)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a762)
        & ~ c1_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a759)
        & c3_1(a759)
        & c2_1(a759)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a755)
        & c2_1(a755)
        & c1_1(a755)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a749)
        & ~ c1_1(a749)
        & ~ c0_1(a749)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a748)
        & ~ c1_1(a748)
        & ~ c0_1(a748)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a746)
        & ~ c0_1(a746)
        & c3_1(a746)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a744)
        & ~ c0_1(a744)
        & c3_1(a744)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a738)
        & ~ c0_1(a738)
        & c1_1(a738)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a735)
        & c3_1(a735)
        & c2_1(a735)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a734)
        & ~ c0_1(a734)
        & c1_1(a734)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a733)
        & ~ c0_1(a733)
        & c2_1(a733)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a732)
        & ~ c2_1(a732)
        & ~ c0_1(a732)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a731)
        & c3_1(a731)
        & c1_1(a731)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a730)
        & c3_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp4
          | hskp1
          | hskp7 )
        & ( hskp8
          | hskp0 )
        & ( hskp19
          | hskp5
          | hskp0 )
        & ( hskp19
          | hskp18
          | hskp16 )
        & ( hskp13
          | hskp24
          | hskp23 )
        & ( hskp17
          | hskp21
          | hskp23 )
        & ( hskp22
          | hskp16
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp2
          | hskp21
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp21
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp11
          | hskp28
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp11
          | hskp27
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp11
          | hskp18
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp16
          | hskp28
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp3
          | hskp16
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp9
          | hskp25
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp20
          | hskp5
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | c1_1(X11) ) ) )
        & ( hskp19
          | hskp27
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c1_1(X12) ) ) )
        & ( hskp18
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c3_1(X14)
                | c1_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c3_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c3_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp5
          | hskp27
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp11
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c1_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp26
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c2_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp0
          | hskp27
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c1_1(X25) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp2
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp17
          | hskp27
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c1_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp16
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c1_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp15
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp14
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp9
          | hskp0
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp13
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp4
          | hskp6
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp7
          | hskp12
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp6
          | hskp25
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp11
          | hskp27
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c0_1(X45)
                | c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp27
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp11
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp10
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp5
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c2_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | hskp5
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp8
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp4
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c1_1(X66)
                | c0_1(X66) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c0_1(X67)
                | c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp5
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c1_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp7
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c1_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp2
          | hskp1
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp6
          | hskp26
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp0
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp5
          | hskp4
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp3
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp2
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp1
          | hskp0
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp25
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( ( c3_1(a784)
            & c1_1(a784)
            & c0_1(a784)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a750)
            & c1_1(a750)
            & c0_1(a750)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a737)
            & c2_1(a737)
            & c1_1(a737)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c3_1(a729)
            & c2_1(a729)
            & c0_1(a729)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a802)
            & ~ c2_1(a802)
            & c0_1(a802)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a798)
            & c1_1(a798)
            & c0_1(a798)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a797)
            & ~ c1_1(a797)
            & c3_1(a797)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a793)
            & c3_1(a793)
            & c0_1(a793)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a779)
            & ~ c1_1(a779)
            & c2_1(a779)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a777)
            & ~ c0_1(a777)
            & c2_1(a777)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a775)
            & ~ c2_1(a775)
            & c1_1(a775)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a766)
            & c2_1(a766)
            & c1_1(a766)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a764)
            & c2_1(a764)
            & c0_1(a764)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a763)
            & c1_1(a763)
            & c0_1(a763)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a762)
            & ~ c1_1(a762)
            & c0_1(a762)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a759)
            & c3_1(a759)
            & c2_1(a759)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a755)
            & c2_1(a755)
            & c1_1(a755)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a749)
            & ~ c1_1(a749)
            & ~ c0_1(a749)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a748)
            & ~ c1_1(a748)
            & ~ c0_1(a748)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a746)
            & ~ c0_1(a746)
            & c3_1(a746)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a744)
            & ~ c0_1(a744)
            & c3_1(a744)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a741)
            & c3_1(a741)
            & c1_1(a741)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a738)
            & ~ c0_1(a738)
            & c1_1(a738)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a735)
            & c3_1(a735)
            & c2_1(a735)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a734)
            & ~ c0_1(a734)
            & c1_1(a734)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a733)
            & ~ c0_1(a733)
            & c2_1(a733)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a732)
            & ~ c2_1(a732)
            & ~ c0_1(a732)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a731)
            & c3_1(a731)
            & c1_1(a731)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a730)
            & c3_1(a730)
            & c0_1(a730)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp4
          | hskp1
          | hskp7 )
        & ( hskp8
          | hskp0 )
        & ( hskp19
          | hskp5
          | hskp0 )
        & ( hskp19
          | hskp18
          | hskp16 )
        & ( hskp13
          | hskp24
          | hskp23 )
        & ( hskp17
          | hskp21
          | hskp23 )
        & ( hskp22
          | hskp16
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c1_1(X91) ) ) )
        & ( hskp2
          | hskp21
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp21
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp11
          | hskp28
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( hskp11
          | hskp27
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp11
          | hskp18
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp1
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c3_1(X84) ) ) )
        & ( hskp16
          | hskp28
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp3
          | hskp16
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp9
          | hskp25
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp20
          | hskp5
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp19
          | hskp27
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp18
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp5
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp5
          | hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp11
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp26
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp0
          | hskp27
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp2
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp17
          | hskp27
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp16
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp15
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp14
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp9
          | hskp0
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp4
          | hskp6
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp7
          | hskp12
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp6
          | hskp25
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp11
          | hskp27
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp27
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp11
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp5
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | hskp5
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp8
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp5
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp7
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp2
          | hskp1
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp6
          | hskp26
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp0
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp5
          | hskp4
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp3
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp2
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c2_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp0
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp25
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a784)
            & c1_1(a784)
            & c0_1(a784)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a750)
            & c1_1(a750)
            & c0_1(a750)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a737)
            & c2_1(a737)
            & c1_1(a737)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c3_1(a729)
            & c2_1(a729)
            & c0_1(a729)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a802)
            & ~ c2_1(a802)
            & c0_1(a802)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a798)
            & c1_1(a798)
            & c0_1(a798)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a797)
            & ~ c1_1(a797)
            & c3_1(a797)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a793)
            & c3_1(a793)
            & c0_1(a793)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a779)
            & ~ c1_1(a779)
            & c2_1(a779)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a777)
            & ~ c0_1(a777)
            & c2_1(a777)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a775)
            & ~ c2_1(a775)
            & c1_1(a775)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a766)
            & c2_1(a766)
            & c1_1(a766)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a764)
            & c2_1(a764)
            & c0_1(a764)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a763)
            & c1_1(a763)
            & c0_1(a763)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a762)
            & ~ c1_1(a762)
            & c0_1(a762)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a759)
            & c3_1(a759)
            & c2_1(a759)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a755)
            & c2_1(a755)
            & c1_1(a755)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a749)
            & ~ c1_1(a749)
            & ~ c0_1(a749)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a748)
            & ~ c1_1(a748)
            & ~ c0_1(a748)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a746)
            & ~ c0_1(a746)
            & c3_1(a746)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a744)
            & ~ c0_1(a744)
            & c3_1(a744)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a741)
            & c3_1(a741)
            & c1_1(a741)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a738)
            & ~ c0_1(a738)
            & c1_1(a738)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a735)
            & c3_1(a735)
            & c2_1(a735)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a734)
            & ~ c0_1(a734)
            & c1_1(a734)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a733)
            & ~ c0_1(a733)
            & c2_1(a733)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a732)
            & ~ c2_1(a732)
            & ~ c0_1(a732)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a731)
            & c3_1(a731)
            & c1_1(a731)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a730)
            & c3_1(a730)
            & c0_1(a730)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp4
        | hskp1
        | hskp7 )
      & ( hskp8
        | hskp0 )
      & ( hskp19
        | hskp5
        | hskp0 )
      & ( hskp19
        | hskp18
        | hskp16 )
      & ( hskp13
        | hskp24
        | hskp23 )
      & ( hskp17
        | hskp21
        | hskp23 )
      & ( hskp22
        | hskp16
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c1_1(X91) ) ) )
      & ( hskp2
        | hskp21
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp21
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp11
        | hskp28
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | ~ c0_1(X88) ) ) )
      & ( hskp11
        | hskp27
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp11
        | hskp18
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp1
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c3_1(X84) ) ) )
      & ( hskp16
        | hskp28
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp3
        | hskp16
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp9
        | hskp25
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp20
        | hskp5
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp19
        | hskp27
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp18
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | c3_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp5
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp5
        | hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp11
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c1_1(X70)
              | c2_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp26
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp0
        | hskp27
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp2
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp17
        | hskp27
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp16
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp15
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp14
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | c3_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp9
        | hskp0
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp4
        | hskp6
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp7
        | hskp12
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp6
        | hskp25
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp11
        | hskp27
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | ~ c0_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp27
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp11
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c1_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c2_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp5
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | hskp5
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp8
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c3_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c0_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp5
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c1_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp7
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp2
        | hskp1
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp6
        | hskp26
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp0
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp5
        | hskp4
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | ~ c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp3
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | c3_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp2
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c2_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp0
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp25
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c1_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a784)
          & c1_1(a784)
          & c0_1(a784)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a750)
          & c1_1(a750)
          & c0_1(a750)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a737)
          & c2_1(a737)
          & c1_1(a737)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( c3_1(a729)
          & c2_1(a729)
          & c0_1(a729)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a802)
          & ~ c2_1(a802)
          & c0_1(a802)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a798)
          & c1_1(a798)
          & c0_1(a798)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a797)
          & ~ c1_1(a797)
          & c3_1(a797)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a793)
          & c3_1(a793)
          & c0_1(a793)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a779)
          & ~ c1_1(a779)
          & c2_1(a779)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a777)
          & ~ c0_1(a777)
          & c2_1(a777)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a775)
          & ~ c2_1(a775)
          & c1_1(a775)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a766)
          & c2_1(a766)
          & c1_1(a766)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a764)
          & c2_1(a764)
          & c0_1(a764)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a763)
          & c1_1(a763)
          & c0_1(a763)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a762)
          & ~ c1_1(a762)
          & c0_1(a762)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a759)
          & c3_1(a759)
          & c2_1(a759)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a755)
          & c2_1(a755)
          & c1_1(a755)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a749)
          & ~ c1_1(a749)
          & ~ c0_1(a749)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a748)
          & ~ c1_1(a748)
          & ~ c0_1(a748)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a746)
          & ~ c0_1(a746)
          & c3_1(a746)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a744)
          & ~ c0_1(a744)
          & c3_1(a744)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a741)
          & c3_1(a741)
          & c1_1(a741)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a738)
          & ~ c0_1(a738)
          & c1_1(a738)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a735)
          & c3_1(a735)
          & c2_1(a735)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a734)
          & ~ c0_1(a734)
          & c1_1(a734)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a733)
          & ~ c0_1(a733)
          & c2_1(a733)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a732)
          & ~ c2_1(a732)
          & ~ c0_1(a732)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a731)
          & c3_1(a731)
          & c1_1(a731)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a730)
          & c3_1(a730)
          & c0_1(a730)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f948,plain,
    ( ~ spl0_4
    | spl0_148 ),
    inference(avatar_split_clause,[],[f8,f945,f227]) ).

fof(f8,plain,
    ( c0_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_4
    | spl0_147 ),
    inference(avatar_split_clause,[],[f9,f940,f227]) ).

fof(f9,plain,
    ( c3_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_4
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f10,f935,f227]) ).

fof(f10,plain,
    ( ~ c1_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_2
    | spl0_145 ),
    inference(avatar_split_clause,[],[f12,f929,f218]) ).

fof(f218,plain,
    ( spl0_2
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f12,plain,
    ( c1_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_2
    | spl0_144 ),
    inference(avatar_split_clause,[],[f13,f924,f218]) ).

fof(f13,plain,
    ( c3_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_2
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f14,f919,f218]) ).

fof(f14,plain,
    ( ~ c2_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_19
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f16,f913,f291]) ).

fof(f291,plain,
    ( spl0_19
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f16,plain,
    ( ~ c0_1(a732)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_19
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f17,f908,f291]) ).

fof(f17,plain,
    ( ~ c2_1(a732)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_19
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f18,f903,f291]) ).

fof(f18,plain,
    ( ~ c3_1(a732)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_27
    | spl0_139 ),
    inference(avatar_split_clause,[],[f20,f897,f326]) ).

fof(f326,plain,
    ( spl0_27
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f20,plain,
    ( c2_1(a733)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_27
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f21,f892,f326]) ).

fof(f21,plain,
    ( ~ c0_1(a733)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_27
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f22,f887,f326]) ).

fof(f22,plain,
    ( ~ c1_1(a733)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_3
    | spl0_136 ),
    inference(avatar_split_clause,[],[f24,f881,f222]) ).

fof(f222,plain,
    ( spl0_3
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f24,plain,
    ( c1_1(a734)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_3
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f25,f876,f222]) ).

fof(f25,plain,
    ( ~ c0_1(a734)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_3
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f26,f871,f222]) ).

fof(f26,plain,
    ( ~ c3_1(a734)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( ~ spl0_6
    | spl0_133 ),
    inference(avatar_split_clause,[],[f28,f865,f236]) ).

fof(f236,plain,
    ( spl0_6
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f28,plain,
    ( c2_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_6
    | spl0_132 ),
    inference(avatar_split_clause,[],[f29,f860,f236]) ).

fof(f29,plain,
    ( c3_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_6
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f30,f855,f236]) ).

fof(f30,plain,
    ( ~ c0_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_52
    | spl0_130 ),
    inference(avatar_split_clause,[],[f32,f849,f427]) ).

fof(f427,plain,
    ( spl0_52
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f32,plain,
    ( c1_1(a738)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_52
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f33,f844,f427]) ).

fof(f33,plain,
    ( ~ c0_1(a738)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_52
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f34,f839,f427]) ).

fof(f34,plain,
    ( ~ c2_1(a738)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_1
    | spl0_127 ),
    inference(avatar_split_clause,[],[f36,f833,f214]) ).

fof(f214,plain,
    ( spl0_1
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f36,plain,
    ( c1_1(a741)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_1
    | spl0_126 ),
    inference(avatar_split_clause,[],[f37,f828,f214]) ).

fof(f37,plain,
    ( c3_1(a741)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_1
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f38,f823,f214]) ).

fof(f38,plain,
    ( ~ c0_1(a741)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_5
    | spl0_15 ),
    inference(avatar_split_clause,[],[f39,f276,f231]) ).

fof(f231,plain,
    ( spl0_5
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_5
    | spl0_124 ),
    inference(avatar_split_clause,[],[f40,f817,f231]) ).

fof(f40,plain,
    ( c3_1(a744)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_5
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f41,f812,f231]) ).

fof(f41,plain,
    ( ~ c0_1(a744)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_5
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f42,f807,f231]) ).

fof(f42,plain,
    ( ~ c1_1(a744)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( ~ spl0_29
    | spl0_121 ),
    inference(avatar_split_clause,[],[f44,f801,f335]) ).

fof(f335,plain,
    ( spl0_29
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f44,plain,
    ( c3_1(a746)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_29
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f45,f796,f335]) ).

fof(f45,plain,
    ( ~ c0_1(a746)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_29
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f46,f791,f335]) ).

fof(f46,plain,
    ( ~ c2_1(a746)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_55
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f48,f785,f447]) ).

fof(f447,plain,
    ( spl0_55
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f48,plain,
    ( ~ c0_1(a748)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_55
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f49,f780,f447]) ).

fof(f49,plain,
    ( ~ c1_1(a748)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_55
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f50,f775,f447]) ).

fof(f50,plain,
    ( ~ c2_1(a748)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_21
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f52,f769,f301]) ).

fof(f301,plain,
    ( spl0_21
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f52,plain,
    ( ~ c0_1(a749)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_21
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f53,f764,f301]) ).

fof(f53,plain,
    ( ~ c1_1(a749)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_21
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f54,f759,f301]) ).

fof(f54,plain,
    ( ~ c3_1(a749)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_12
    | spl0_109 ),
    inference(avatar_split_clause,[],[f60,f737,f262]) ).

fof(f262,plain,
    ( spl0_12
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f60,plain,
    ( c2_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_12
    | spl0_108 ),
    inference(avatar_split_clause,[],[f61,f732,f262]) ).

fof(f61,plain,
    ( c3_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f62,f727,f262]) ).

fof(f62,plain,
    ( ~ c1_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_8
    | spl0_100 ),
    inference(avatar_split_clause,[],[f72,f689,f245]) ).

fof(f245,plain,
    ( spl0_8
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f72,plain,
    ( c0_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_8
    | spl0_99 ),
    inference(avatar_split_clause,[],[f73,f684,f245]) ).

fof(f73,plain,
    ( c2_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_8
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f74,f679,f245]) ).

fof(f74,plain,
    ( ~ c3_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( ~ spl0_9
    | spl0_94 ),
    inference(avatar_split_clause,[],[f80,f657,f249]) ).

fof(f249,plain,
    ( spl0_9
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f80,plain,
    ( c1_1(a775)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_9
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f81,f652,f249]) ).

fof(f81,plain,
    ( ~ c2_1(a775)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_9
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f82,f647,f249]) ).

fof(f82,plain,
    ( ~ c3_1(a775)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f644,plain,
    ( ~ spl0_7
    | spl0_91 ),
    inference(avatar_split_clause,[],[f84,f641,f240]) ).

fof(f240,plain,
    ( spl0_7
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f84,plain,
    ( c2_1(a777)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_7
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f85,f636,f240]) ).

fof(f85,plain,
    ( ~ c0_1(a777)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_7
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f86,f631,f240]) ).

fof(f86,plain,
    ( ~ c3_1(a777)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_31
    | spl0_88 ),
    inference(avatar_split_clause,[],[f88,f625,f343]) ).

fof(f343,plain,
    ( spl0_31
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f88,plain,
    ( c2_1(a779)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_31
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f89,f620,f343]) ).

fof(f89,plain,
    ( ~ c1_1(a779)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f90,f615,f343]) ).

fof(f90,plain,
    ( ~ c3_1(a779)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_13
    | spl0_85 ),
    inference(avatar_split_clause,[],[f92,f609,f267]) ).

fof(f267,plain,
    ( spl0_13
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f92,plain,
    ( c0_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_13
    | spl0_84 ),
    inference(avatar_split_clause,[],[f93,f604,f267]) ).

fof(f93,plain,
    ( c3_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_13
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f94,f599,f267]) ).

fof(f94,plain,
    ( ~ c2_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_10
    | spl0_79 ),
    inference(avatar_split_clause,[],[f100,f577,f254]) ).

fof(f254,plain,
    ( spl0_10
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f100,plain,
    ( c0_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_10
    | spl0_78 ),
    inference(avatar_split_clause,[],[f101,f572,f254]) ).

fof(f101,plain,
    ( c1_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_10
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f102,f567,f254]) ).

fof(f102,plain,
    ( ~ c3_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_11
    | spl0_76 ),
    inference(avatar_split_clause,[],[f104,f561,f258]) ).

fof(f258,plain,
    ( spl0_11
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f104,plain,
    ( c0_1(a802)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( ~ spl0_11
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f105,f556,f258]) ).

fof(f105,plain,
    ( ~ c2_1(a802)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( ~ spl0_11
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f106,f551,f258]) ).

fof(f106,plain,
    ( ~ c3_1(a802)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( ~ spl0_28
    | spl0_73 ),
    inference(avatar_split_clause,[],[f108,f545,f331]) ).

fof(f331,plain,
    ( spl0_28
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f108,plain,
    ( c0_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( ~ spl0_28
    | spl0_72 ),
    inference(avatar_split_clause,[],[f109,f540,f331]) ).

fof(f109,plain,
    ( c2_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( ~ spl0_28
    | spl0_71 ),
    inference(avatar_split_clause,[],[f110,f535,f331]) ).

fof(f110,plain,
    ( c3_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( ~ spl0_23
    | spl0_67 ),
    inference(avatar_split_clause,[],[f116,f513,f309]) ).

fof(f309,plain,
    ( spl0_23
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f116,plain,
    ( c0_1(a750)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_23
    | spl0_66 ),
    inference(avatar_split_clause,[],[f117,f508,f309]) ).

fof(f117,plain,
    ( c1_1(a750)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( ~ spl0_23
    | spl0_65 ),
    inference(avatar_split_clause,[],[f118,f503,f309]) ).

fof(f118,plain,
    ( c2_1(a750)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_61
    | spl0_45
    | ~ spl0_15
    | spl0_35 ),
    inference(avatar_split_clause,[],[f183,f359,f276,f400,f481]) ).

fof(f183,plain,
    ! [X90,X91,X89] :
      ( ~ c2_1(X89)
      | ~ c1_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | ~ c2_1(X90)
      | c3_1(X90)
      | c0_1(X90)
      | c2_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f123]) ).

fof(f123,plain,
    ! [X90,X91,X89] :
      ( ~ c2_1(X89)
      | ~ c1_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | ~ c2_1(X90)
      | c3_1(X90)
      | c0_1(X90)
      | ~ ndr1_0
      | c2_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_61
    | ~ spl0_15
    | spl0_32
    | spl0_28 ),
    inference(avatar_split_clause,[],[f184,f331,f348,f276,f481]) ).

fof(f184,plain,
    ! [X88,X87] :
      ( hskp25
      | ~ c3_1(X87)
      | ~ c0_1(X87)
      | c1_1(X87)
      | ~ ndr1_0
      | c2_1(X88)
      | c1_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f124]) ).

fof(f124,plain,
    ! [X88,X87] :
      ( hskp25
      | ~ c3_1(X87)
      | ~ c0_1(X87)
      | c1_1(X87)
      | ~ ndr1_0
      | c2_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( ~ spl0_15
    | spl0_61
    | spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f125,f218,f227,f481,f276]) ).

fof(f125,plain,
    ! [X86] :
      ( hskp1
      | hskp0
      | c2_1(X86)
      | c1_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_60
    | ~ spl0_15
    | spl0_25
    | spl0_27 ),
    inference(avatar_split_clause,[],[f186,f326,f319,f276,f474]) ).

fof(f186,plain,
    ! [X82,X83] :
      ( hskp3
      | ~ c1_1(X82)
      | c3_1(X82)
      | c2_1(X82)
      | ~ ndr1_0
      | c3_1(X83)
      | c1_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ! [X82,X83] :
      ( hskp3
      | ~ c1_1(X82)
      | c3_1(X82)
      | c2_1(X82)
      | ~ ndr1_0
      | c3_1(X83)
      | c1_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_60
    | spl0_50
    | ~ spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f187,f403,f276,f420,f474]) ).

fof(f187,plain,
    ! [X80,X81,X79] :
      ( ~ c3_1(X79)
      | ~ c1_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | ~ c0_1(X80)
      | c2_1(X80)
      | c3_1(X81)
      | c1_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f128]) ).

fof(f128,plain,
    ! [X80,X81,X79] :
      ( ~ c3_1(X79)
      | ~ c1_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | ~ c1_1(X80)
      | ~ c0_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( ~ spl0_15
    | spl0_60
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f129,f236,f222,f474,f276]) ).

fof(f129,plain,
    ! [X78] :
      ( hskp5
      | hskp4
      | c3_1(X78)
      | c1_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_59
    | ~ spl0_15
    | spl0_54
    | spl0_4 ),
    inference(avatar_split_clause,[],[f188,f227,f442,f276,f468]) ).

fof(f188,plain,
    ! [X76,X77] :
      ( hskp0
      | ~ c1_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | ~ c2_1(X77)
      | c1_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X76,X77] :
      ( hskp0
      | ~ c1_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0
      | ~ c2_1(X77)
      | c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( ~ spl0_15
    | spl0_59
    | spl0_2
    | spl0_19 ),
    inference(avatar_split_clause,[],[f132,f291,f218,f468,f276]) ).

fof(f132,plain,
    ! [X74] :
      ( hskp2
      | hskp1
      | ~ c2_1(X74)
      | c1_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_57
    | ~ spl0_15
    | spl0_45
    | spl0_1 ),
    inference(avatar_split_clause,[],[f189,f214,f400,f276,f458]) ).

fof(f189,plain,
    ! [X72,X73] :
      ( hskp7
      | ~ c2_1(X72)
      | c3_1(X72)
      | c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c1_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X72,X73] :
      ( hskp7
      | ~ c2_1(X72)
      | c3_1(X72)
      | c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c1_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_57
    | ~ spl0_15
    | spl0_44
    | spl0_6 ),
    inference(avatar_split_clause,[],[f190,f236,f395,f276,f458]) ).

fof(f190,plain,
    ! [X70,X71] :
      ( hskp5
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c1_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X70,X71] :
      ( hskp5
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c1_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f463,plain,
    ( spl0_57
    | ~ spl0_15
    | spl0_58
    | spl0_3 ),
    inference(avatar_split_clause,[],[f192,f222,f461,f276,f458]) ).

fof(f192,plain,
    ! [X65,X66] :
      ( hskp4
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X66)
      | c1_1(X66)
      | c0_1(X66) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X65,X66] :
      ( hskp4
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X66)
      | c1_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( spl0_56
    | ~ spl0_15
    | spl0_45
    | spl0_5 ),
    inference(avatar_split_clause,[],[f193,f231,f400,f276,f453]) ).

fof(f193,plain,
    ! [X63,X64] :
      ( hskp8
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | c3_1(X64)
      | c2_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X63,X64] :
      ( hskp8
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | c3_1(X64)
      | c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( spl0_54
    | ~ spl0_15
    | spl0_49
    | spl0_6 ),
    inference(avatar_split_clause,[],[f194,f236,f416,f276,f442]) ).

fof(f194,plain,
    ! [X60,X61] :
      ( hskp5
      | ~ c1_1(X60)
      | c3_1(X60)
      | c0_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c2_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X60,X61] :
      ( hskp5
      | ~ c1_1(X60)
      | c3_1(X60)
      | c0_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c2_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_54
    | ~ spl0_15
    | spl0_41
    | spl0_55 ),
    inference(avatar_split_clause,[],[f195,f447,f384,f276,f442]) ).

fof(f195,plain,
    ! [X58,X59] :
      ( hskp10
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c0_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | c2_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X58,X59] :
      ( hskp10
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | c0_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | c2_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_51
    | spl0_41
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f199,f280,f276,f384,f424]) ).

fof(f199,plain,
    ! [X50,X48,X49] :
      ( ~ c3_1(X48)
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ~ c3_1(X50)
      | c2_1(X50)
      | c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X50,X48,X49] :
      ( ~ c3_1(X48)
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( spl0_51
    | spl0_33
    | ~ spl0_15
    | spl0_50 ),
    inference(avatar_split_clause,[],[f200,f420,f276,f352,f424]) ).

fof(f200,plain,
    ! [X46,X47,X45] :
      ( ~ c1_1(X45)
      | ~ c0_1(X45)
      | c2_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | c3_1(X46)
      | c1_1(X46)
      | ~ c3_1(X47)
      | c2_1(X47)
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X46,X47,X45] :
      ( ~ c1_1(X45)
      | ~ c0_1(X45)
      | c2_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | c3_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | c2_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_15
    | spl0_51
    | spl0_23
    | spl0_21 ),
    inference(avatar_split_clause,[],[f146,f301,f309,f424,f276]) ).

fof(f146,plain,
    ! [X44] :
      ( hskp11
      | hskp27
      | ~ c3_1(X44)
      | c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( ~ spl0_15
    | spl0_51
    | spl0_28
    | spl0_52 ),
    inference(avatar_split_clause,[],[f147,f427,f331,f424,f276]) ).

fof(f147,plain,
    ! [X43] :
      ( hskp6
      | hskp25
      | ~ c3_1(X43)
      | c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f430,plain,
    ( ~ spl0_15
    | spl0_51
    | spl0_52
    | spl0_3 ),
    inference(avatar_split_clause,[],[f149,f222,f427,f424,f276]) ).

fof(f149,plain,
    ! [X41] :
      ( hskp4
      | hskp6
      | ~ c3_1(X41)
      | c2_1(X41)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_49
    | ~ spl0_15
    | spl0_50
    | spl0_12 ),
    inference(avatar_split_clause,[],[f201,f262,f420,f276,f416]) ).

fof(f201,plain,
    ! [X40,X39] :
      ( hskp13
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X40)
      | c3_1(X40)
      | c0_1(X40) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X40,X39] :
      ( hskp13
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X40)
      | c3_1(X40)
      | c0_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_15
    | spl0_49
    | spl0_4
    | spl0_29 ),
    inference(avatar_split_clause,[],[f151,f335,f227,f416,f276]) ).

fof(f151,plain,
    ! [X38] :
      ( hskp9
      | hskp0
      | ~ c1_1(X38)
      | c3_1(X38)
      | c0_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( spl0_44
    | ~ spl0_15
    | spl0_18
    | spl0_8 ),
    inference(avatar_split_clause,[],[f204,f245,f288,f276,f395]) ).

fof(f204,plain,
    ! [X32,X33] :
      ( hskp16
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | c0_1(X33) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X32,X33] :
      ( hskp16
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | c0_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( spl0_43
    | ~ spl0_15
    | spl0_38
    | spl0_19 ),
    inference(avatar_split_clause,[],[f205,f291,f372,f276,f391]) ).

fof(f205,plain,
    ! [X29,X30] :
      ( hskp2
      | ~ c0_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c0_1(X30) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X29,X30] :
      ( hskp2
      | ~ c0_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c0_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( spl0_41
    | spl0_30
    | ~ spl0_15
    | spl0_42 ),
    inference(avatar_split_clause,[],[f206,f387,f276,f340,f384]) ).

fof(f206,plain,
    ! [X28,X26,X27] :
      ( ~ c3_1(X26)
      | ~ c0_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | c1_1(X27)
      | ~ c3_1(X28)
      | ~ c2_1(X28)
      | c0_1(X28) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X28,X26,X27] :
      ( ~ c3_1(X26)
      | ~ c0_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | c1_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c2_1(X28)
      | c0_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( spl0_37
    | ~ spl0_15
    | spl0_34
    | spl0_21 ),
    inference(avatar_split_clause,[],[f208,f301,f355,f276,f368]) ).

fof(f208,plain,
    ! [X21,X22] :
      ( hskp11
      | ~ c3_1(X21)
      | ~ c1_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | c2_1(X22)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X21,X22] :
      ( hskp11
      | ~ c3_1(X21)
      | ~ c1_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( spl0_33
    | ~ spl0_15
    | spl0_32
    | spl0_6 ),
    inference(avatar_split_clause,[],[f209,f236,f348,f276,f352]) ).

fof(f209,plain,
    ! [X18,X19] :
      ( hskp5
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c1_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | c3_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X18,X19] :
      ( hskp5
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c1_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | c3_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f361,plain,
    ( spl0_33
    | spl0_26
    | ~ spl0_15
    | spl0_35 ),
    inference(avatar_split_clause,[],[f210,f359,f276,f323,f352]) ).

fof(f210,plain,
    ! [X16,X17,X15] :
      ( ~ c2_1(X15)
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ c2_1(X17)
      | c3_1(X17)
      | c1_1(X17) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X16,X17,X15] :
      ( ~ c2_1(X15)
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c2_1(X17)
      | c3_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f357,plain,
    ( spl0_33
    | ~ spl0_15
    | spl0_34
    | spl0_9 ),
    inference(avatar_split_clause,[],[f211,f249,f355,f276,f352]) ).

fof(f211,plain,
    ! [X14,X13] :
      ( hskp18
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0
      | ~ c2_1(X14)
      | c3_1(X14)
      | c1_1(X14) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X14,X13] :
      ( hskp18
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0
      | ~ c2_1(X14)
      | c3_1(X14)
      | c1_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f350,plain,
    ( ~ spl0_15
    | spl0_32
    | spl0_23
    | spl0_7 ),
    inference(avatar_split_clause,[],[f165,f240,f309,f348,f276]) ).

fof(f165,plain,
    ! [X12] :
      ( hskp19
      | hskp27
      | ~ c3_1(X12)
      | ~ c0_1(X12)
      | c1_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f346,plain,
    ( ~ spl0_15
    | spl0_30
    | spl0_6
    | spl0_31 ),
    inference(avatar_split_clause,[],[f166,f343,f236,f340,f276]) ).

fof(f166,plain,
    ! [X11] :
      ( hskp20
      | hskp5
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | c1_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f338,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f167,f335,f331,f323,f276]) ).

fof(f167,plain,
    ! [X10] :
      ( hskp9
      | hskp25
      | ~ c0_1(X10)
      | c3_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f329,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_8
    | spl0_27 ),
    inference(avatar_split_clause,[],[f168,f326,f245,f323,f276]) ).

fof(f168,plain,
    ! [X9] :
      ( hskp3
      | hskp16
      | ~ c0_1(X9)
      | c3_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( spl0_24
    | ~ spl0_15
    | spl0_18
    | spl0_2 ),
    inference(avatar_split_clause,[],[f212,f218,f288,f276,f314]) ).

fof(f212,plain,
    ! [X6,X7] :
      ( hskp1
      | ~ c3_1(X6)
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X6,X7] :
      ( hskp1
      | ~ c3_1(X6)
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f316,plain,
    ( ~ spl0_15
    | spl0_24
    | spl0_9
    | spl0_21 ),
    inference(avatar_split_clause,[],[f171,f301,f249,f314,f276]) ).

fof(f171,plain,
    ! [X5] :
      ( hskp11
      | hskp18
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f295,plain,
    ( ~ spl0_15
    | spl0_18
    | spl0_13 ),
    inference(avatar_split_clause,[],[f174,f267,f288,f276]) ).

fof(f174,plain,
    ! [X2] :
      ( hskp21
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f265,plain,
    ( spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f178,f262,f258,f254]) ).

fof(f178,plain,
    ( hskp13
    | hskp24
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f252,plain,
    ( spl0_8
    | spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f179,f240,f249,f245]) ).

fof(f179,plain,
    ( hskp19
    | hskp18
    | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f243,plain,
    ( spl0_4
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f180,f240,f236,f227]) ).

fof(f180,plain,
    ( hskp19
    | hskp5
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f234,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f181,f231,f227]) ).

fof(f181,plain,
    ( hskp8
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f225,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f182,f222,f218,f214]) ).

fof(f182,plain,
    ( hskp4
    | hskp1
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SYN451+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.27  % Computer : n032.cluster.edu
% 0.09/0.27  % Model    : x86_64 x86_64
% 0.09/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27  % Memory   : 8042.1875MB
% 0.09/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27  % CPULimit   : 300
% 0.09/0.27  % WCLimit    : 300
% 0.09/0.27  % DateTime   : Tue Apr 30 01:58:35 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.09/0.28  % (18965)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.29  % (18969)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.29  % (18966)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.29  Detected minimum model sizes of [1]
% 0.13/0.29  Detected maximum model sizes of [29]
% 0.13/0.29  TRYING [1]
% 0.13/0.30  TRYING [2]
% 0.13/0.30  % (18970)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.30  % (18968)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.30  Detected minimum model sizes of [1]
% 0.13/0.30  Detected maximum model sizes of [29]
% 0.13/0.30  TRYING [1]
% 0.13/0.30  TRYING [2]
% 0.13/0.30  % (18972)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.30  TRYING [3]
% 0.13/0.30  % (18971)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.30  % (18967)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.30  TRYING [3]
% 0.13/0.30  TRYING [4]
% 0.13/0.30  TRYING [4]
% 0.13/0.30  Detected minimum model sizes of [1]
% 0.13/0.30  Detected maximum model sizes of [29]
% 0.13/0.30  TRYING [1]
% 0.13/0.30  TRYING [2]
% 0.13/0.30  TRYING [5]
% 0.13/0.31  TRYING [3]
% 0.13/0.31  Detected minimum model sizes of [1]
% 0.13/0.31  Detected maximum model sizes of [29]
% 0.13/0.31  TRYING [5]
% 0.13/0.31  TRYING [1]
% 0.13/0.31  TRYING [2]
% 0.13/0.31  TRYING [3]
% 0.13/0.31  TRYING [4]
% 0.13/0.31  TRYING [4]
% 0.13/0.32  TRYING [5]
% 0.13/0.32  TRYING [6]
% 0.13/0.32  TRYING [6]
% 0.13/0.32  TRYING [5]
% 0.13/0.34  TRYING [6]
% 0.13/0.34  TRYING [6]
% 0.13/0.34  % (18971)First to succeed.
% 0.13/0.34  TRYING [7]
% 0.13/0.35  % (18968)Also succeeded, but the first one will report.
% 0.13/0.35  % (18971)Refutation found. Thanks to Tanya!
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.35  % (18971)------------------------------
% 0.13/0.35  % (18971)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.35  % (18971)Termination reason: Refutation
% 0.13/0.35  
% 0.13/0.35  % (18971)Memory used [KB]: 2158
% 0.13/0.35  % (18971)Time elapsed: 0.053 s
% 0.13/0.35  % (18971)Instructions burned: 110 (million)
% 0.13/0.35  % (18971)------------------------------
% 0.13/0.35  % (18971)------------------------------
% 0.13/0.35  % (18965)Success in time 0.06 s
%------------------------------------------------------------------------------