TSTP Solution File: SYN475-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN475-1 : 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 : n028.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 18:03:46 EDT 2024

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  240
% Syntax   : Number of formulae    :  675 (   1 unt;   0 def)
%            Number of atoms       : 2273 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2831 (1233   ~;1470   |;   0   &)
%                                         ( 128 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  158 ( 157 usr; 154 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  145 ( 145   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3446,plain,
    $false,
    inference(avatar_sat_refutation,[],[f296,f301,f306,f311,f316,f326,f331,f336,f341,f351,f361,f366,f371,f376,f381,f386,f391,f396,f401,f406,f411,f421,f431,f436,f446,f466,f476,f481,f486,f491,f496,f501,f506,f511,f516,f521,f526,f531,f536,f541,f546,f551,f556,f561,f566,f571,f576,f636,f646,f686,f691,f696,f701,f706,f711,f716,f721,f726,f731,f736,f741,f746,f751,f756,f766,f771,f776,f781,f786,f791,f796,f800,f801,f802,f809,f813,f821,f830,f834,f835,f839,f840,f844,f848,f866,f867,f871,f882,f883,f887,f888,f893,f901,f902,f903,f909,f921,f922,f923,f927,f928,f932,f934,f935,f936,f937,f941,f942,f943,f948,f949,f951,f969,f985,f1002,f1054,f1091,f1135,f1141,f1153,f1273,f1289,f1450,f1455,f1577,f1580,f1635,f1637,f1642,f1665,f1793,f1848,f1916,f1996,f2060,f2063,f2081,f2108,f2258,f2531,f2536,f2543,f2573,f2585,f2617,f2636,f2640,f2644,f2652,f2699,f2764,f2767,f2829,f2831,f2834,f2851,f2870,f2952,f2985,f3011,f3032,f3073,f3083,f3173,f3175,f3188,f3229,f3240,f3258,f3260,f3360,f3379,f3385,f3438,f3443]) ).

fof(f3443,plain,
    ( spl0_58
    | ~ spl0_74
    | ~ spl0_129
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3442]) ).

fof(f3442,plain,
    ( $false
    | spl0_58
    | ~ spl0_74
    | ~ spl0_129
    | spl0_158 ),
    inference(subsumption_resolution,[],[f3441,f480]) ).

fof(f480,plain,
    ( ~ c0_1(a1045)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl0_58
  <=> c0_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3441,plain,
    ( c0_1(a1045)
    | ~ spl0_74
    | ~ spl0_129
    | spl0_158 ),
    inference(subsumption_resolution,[],[f3425,f560]) ).

fof(f560,plain,
    ( c1_1(a1045)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f558,plain,
    ( spl0_74
  <=> c1_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3425,plain,
    ( ~ c1_1(a1045)
    | c0_1(a1045)
    | ~ spl0_129
    | spl0_158 ),
    inference(resolution,[],[f838,f1469]) ).

fof(f1469,plain,
    ( ~ c2_1(a1045)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f1468,plain,
    ( spl0_158
  <=> c2_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f838,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f3438,plain,
    ( spl0_136
    | ~ spl0_125
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f3437,f837,f819,f869]) ).

fof(f869,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f819,plain,
    ( spl0_125
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3437,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_125
    | ~ spl0_129 ),
    inference(duplicate_literal_removal,[],[f3422]) ).

fof(f3422,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_125
    | ~ spl0_129 ),
    inference(resolution,[],[f838,f820]) ).

fof(f820,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f3385,plain,
    ( spl0_103
    | ~ spl0_108
    | ~ spl0_110
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3384]) ).

fof(f3384,plain,
    ( $false
    | spl0_103
    | ~ spl0_108
    | ~ spl0_110
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3383,f740]) ).

fof(f740,plain,
    ( c1_1(a1004)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f738,plain,
    ( spl0_110
  <=> c1_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3383,plain,
    ( ~ c1_1(a1004)
    | spl0_103
    | ~ spl0_108
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3382,f705]) ).

fof(f705,plain,
    ( ~ c3_1(a1004)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f703,plain,
    ( spl0_103
  <=> c3_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3382,plain,
    ( c3_1(a1004)
    | ~ c1_1(a1004)
    | ~ spl0_108
    | ~ spl0_135 ),
    inference(resolution,[],[f730,f865]) ).

fof(f865,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f730,plain,
    ( c2_1(a1004)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f728,plain,
    ( spl0_108
  <=> c2_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3379,plain,
    ( spl0_116
    | ~ spl0_117
    | ~ spl0_125
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3378]) ).

fof(f3378,plain,
    ( $false
    | spl0_116
    | ~ spl0_117
    | ~ spl0_125
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3373,f770]) ).

fof(f770,plain,
    ( ~ c3_1(a1008)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f768,plain,
    ( spl0_116
  <=> c3_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3373,plain,
    ( c3_1(a1008)
    | ~ spl0_117
    | ~ spl0_125
    | ~ spl0_139 ),
    inference(resolution,[],[f3367,f775]) ).

fof(f775,plain,
    ( c2_1(a1008)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f773,plain,
    ( spl0_117
  <=> c2_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3367,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_125
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f881,f820]) ).

fof(f881,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_139
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3360,plain,
    ( spl0_63
    | spl0_57
    | ~ spl0_72
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3359,f919,f548,f473,f503]) ).

fof(f503,plain,
    ( spl0_63
  <=> c1_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f473,plain,
    ( spl0_57
  <=> c0_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f548,plain,
    ( spl0_72
  <=> c2_1(a1026) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f919,plain,
    ( spl0_146
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3359,plain,
    ( c1_1(a1026)
    | spl0_57
    | ~ spl0_72
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3345,f475]) ).

fof(f475,plain,
    ( ~ c0_1(a1026)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f3345,plain,
    ( c1_1(a1026)
    | c0_1(a1026)
    | ~ spl0_72
    | ~ spl0_146 ),
    inference(resolution,[],[f920,f550]) ).

fof(f550,plain,
    ( c2_1(a1026)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f920,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f3260,plain,
    ( ~ spl0_163
    | ~ spl0_106
    | ~ spl0_112
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f3259,f811,f748,f718,f1845]) ).

fof(f1845,plain,
    ( spl0_163
  <=> c2_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f718,plain,
    ( spl0_106
  <=> c0_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f748,plain,
    ( spl0_112
  <=> c1_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f811,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f3259,plain,
    ( ~ c2_1(a1044)
    | ~ spl0_106
    | ~ spl0_112
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f3246,f750]) ).

fof(f750,plain,
    ( c1_1(a1044)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f3246,plain,
    ( ~ c1_1(a1044)
    | ~ c2_1(a1044)
    | ~ spl0_106
    | ~ spl0_123 ),
    inference(resolution,[],[f812,f720]) ).

fof(f720,plain,
    ( c0_1(a1044)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f812,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f3258,plain,
    ( ~ spl0_154
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f3257,f811,f553,f543,f1254]) ).

fof(f1254,plain,
    ( spl0_154
  <=> c1_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f543,plain,
    ( spl0_71
  <=> c0_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f553,plain,
    ( spl0_73
  <=> c2_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3257,plain,
    ( ~ c1_1(a1029)
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f3245,f555]) ).

fof(f555,plain,
    ( c2_1(a1029)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f3245,plain,
    ( ~ c1_1(a1029)
    | ~ c2_1(a1029)
    | ~ spl0_71
    | ~ spl0_123 ),
    inference(resolution,[],[f812,f545]) ).

fof(f545,plain,
    ( c0_1(a1029)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f3240,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_137
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3239]) ).

fof(f3239,plain,
    ( $false
    | spl0_115
    | spl0_116
    | ~ spl0_137
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3235,f765]) ).

fof(f765,plain,
    ( ~ c1_1(a1008)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f763,plain,
    ( spl0_115
  <=> c1_1(a1008) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3235,plain,
    ( c1_1(a1008)
    | spl0_116
    | ~ spl0_137
    | ~ spl0_148 ),
    inference(resolution,[],[f3207,f770]) ).

fof(f3207,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_137
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f931,f874]) ).

fof(f874,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f873,plain,
    ( spl0_137
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f931,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_148
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3229,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3228]) ).

fof(f3228,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3221,f380]) ).

fof(f380,plain,
    ( c0_1(a1000)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl0_38
  <=> c0_1(a1000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f3221,plain,
    ( ~ c0_1(a1000)
    | ~ spl0_42
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(resolution,[],[f3192,f400]) ).

fof(f400,plain,
    ( c2_1(a1000)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl0_42
  <=> c2_1(a1000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f3192,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f881,f843]) ).

fof(f843,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f842,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3188,plain,
    ( spl0_104
    | ~ spl0_106
    | ~ spl0_128
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3187]) ).

fof(f3187,plain,
    ( $false
    | spl0_104
    | ~ spl0_106
    | ~ spl0_128
    | spl0_163 ),
    inference(subsumption_resolution,[],[f3186,f720]) ).

fof(f3186,plain,
    ( ~ c0_1(a1044)
    | spl0_104
    | ~ spl0_128
    | spl0_163 ),
    inference(subsumption_resolution,[],[f3184,f710]) ).

fof(f710,plain,
    ( ~ c3_1(a1044)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f708,plain,
    ( spl0_104
  <=> c3_1(a1044) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3184,plain,
    ( c3_1(a1044)
    | ~ c0_1(a1044)
    | ~ spl0_128
    | spl0_163 ),
    inference(resolution,[],[f1846,f833]) ).

fof(f833,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1846,plain,
    ( ~ c2_1(a1044)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1845]) ).

fof(f3175,plain,
    ( spl0_65
    | ~ spl0_69
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3174]) ).

fof(f3174,plain,
    ( $false
    | spl0_65
    | ~ spl0_69
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3166,f535]) ).

fof(f535,plain,
    ( c0_1(a1012)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f533,plain,
    ( spl0_69
  <=> c0_1(a1012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f3166,plain,
    ( ~ c0_1(a1012)
    | spl0_65
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(resolution,[],[f3155,f515]) ).

fof(f515,plain,
    ( ~ c3_1(a1012)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f513,plain,
    ( spl0_65
  <=> c3_1(a1012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f3155,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f881,f833]) ).

fof(f3173,plain,
    ( spl0_104
    | ~ spl0_106
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3172]) ).

fof(f3172,plain,
    ( $false
    | spl0_104
    | ~ spl0_106
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3164,f720]) ).

fof(f3164,plain,
    ( ~ c0_1(a1044)
    | spl0_104
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(resolution,[],[f3155,f710]) ).

fof(f3083,plain,
    ( spl0_66
    | spl0_61
    | ~ spl0_68
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3082,f832,f528,f493,f518]) ).

fof(f518,plain,
    ( spl0_66
  <=> c3_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f493,plain,
    ( spl0_61
  <=> c2_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f528,plain,
    ( spl0_68
  <=> c0_1(a1025) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3082,plain,
    ( c3_1(a1025)
    | spl0_61
    | ~ spl0_68
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3059,f530]) ).

fof(f530,plain,
    ( c0_1(a1025)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f3059,plain,
    ( c3_1(a1025)
    | ~ c0_1(a1025)
    | spl0_61
    | ~ spl0_128 ),
    inference(resolution,[],[f833,f495]) ).

fof(f495,plain,
    ( ~ c2_1(a1025)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f3073,plain,
    ( spl0_164
    | spl0_60
    | ~ spl0_70
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3072,f832,f538,f488,f1912]) ).

fof(f1912,plain,
    ( spl0_164
  <=> c3_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f488,plain,
    ( spl0_60
  <=> c2_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f538,plain,
    ( spl0_70
  <=> c0_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3072,plain,
    ( c3_1(a1011)
    | spl0_60
    | ~ spl0_70
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3061,f540]) ).

fof(f540,plain,
    ( c0_1(a1011)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f3061,plain,
    ( c3_1(a1011)
    | ~ c0_1(a1011)
    | spl0_60
    | ~ spl0_128 ),
    inference(resolution,[],[f833,f490]) ).

fof(f490,plain,
    ( ~ c2_1(a1011)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f3032,plain,
    ( spl0_159
    | spl0_103
    | ~ spl0_108
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f3031,f819,f728,f703,f1520]) ).

fof(f1520,plain,
    ( spl0_159
  <=> c0_1(a1004) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f3031,plain,
    ( c0_1(a1004)
    | spl0_103
    | ~ spl0_108
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f3030,f705]) ).

fof(f3030,plain,
    ( c3_1(a1004)
    | c0_1(a1004)
    | ~ spl0_108
    | ~ spl0_125 ),
    inference(resolution,[],[f730,f820]) ).

fof(f3011,plain,
    ( spl0_27
    | spl0_32
    | ~ spl0_124
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3010]) ).

fof(f3010,plain,
    ( $false
    | spl0_27
    | spl0_32
    | ~ spl0_124
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3003,f350]) ).

fof(f350,plain,
    ( ~ c1_1(a1038)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f348,plain,
    ( spl0_32
  <=> c1_1(a1038) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f3003,plain,
    ( c1_1(a1038)
    | spl0_27
    | ~ spl0_124
    | ~ spl0_137 ),
    inference(resolution,[],[f2988,f325]) ).

fof(f325,plain,
    ( ~ c2_1(a1038)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f323,plain,
    ( spl0_27
  <=> c2_1(a1038) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2988,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_124
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f816,f874]) ).

fof(f816,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl0_124
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2985,plain,
    ( ~ spl0_108
    | ~ spl0_110
    | ~ spl0_123
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2978,f1520,f811,f738,f728]) ).

fof(f2978,plain,
    ( ~ c2_1(a1004)
    | ~ spl0_110
    | ~ spl0_123
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2961,f740]) ).

fof(f2961,plain,
    ( ~ c1_1(a1004)
    | ~ c2_1(a1004)
    | ~ spl0_123
    | ~ spl0_159 ),
    inference(resolution,[],[f812,f1522]) ).

fof(f1522,plain,
    ( c0_1(a1004)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1520]) ).

fof(f2952,plain,
    ( spl0_62
    | spl0_156
    | spl0_59
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2872,f873,f483,f1329,f498]) ).

fof(f498,plain,
    ( spl0_62
  <=> c1_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1329,plain,
    ( spl0_156
  <=> c3_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f483,plain,
    ( spl0_59
  <=> c2_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2872,plain,
    ( c3_1(a1043)
    | c1_1(a1043)
    | spl0_59
    | ~ spl0_137 ),
    inference(resolution,[],[f874,f485]) ).

fof(f485,plain,
    ( ~ c2_1(a1043)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f2870,plain,
    ( spl0_101
    | ~ spl0_109
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2869]) ).

fof(f2869,plain,
    ( $false
    | spl0_101
    | ~ spl0_109
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2868,f1317]) ).

fof(f1317,plain,
    ( c3_1(a1003)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1315]) ).

fof(f1315,plain,
    ( spl0_155
  <=> c3_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2868,plain,
    ( ~ c3_1(a1003)
    | spl0_101
    | ~ spl0_109
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2859,f735]) ).

fof(f735,plain,
    ( c1_1(a1003)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl0_109
  <=> c1_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2859,plain,
    ( ~ c1_1(a1003)
    | ~ c3_1(a1003)
    | spl0_101
    | ~ spl0_131 ),
    inference(resolution,[],[f847,f695]) ).

fof(f695,plain,
    ( ~ c2_1(a1003)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f693,plain,
    ( spl0_101
  <=> c2_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f847,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f846,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2851,plain,
    ( ~ spl0_105
    | ~ spl0_113
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2845,f860,f842,f753,f713]) ).

fof(f713,plain,
    ( spl0_105
  <=> c0_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f753,plain,
    ( spl0_113
  <=> c3_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f860,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2845,plain,
    ( ~ c0_1(a1010)
    | ~ spl0_113
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(resolution,[],[f2835,f755]) ).

fof(f755,plain,
    ( c3_1(a1010)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f2835,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f843,f861]) ).

fof(f861,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f2834,plain,
    ( ~ spl0_70
    | spl0_60
    | ~ spl0_134
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2794,f1912,f860,f488,f538]) ).

fof(f2794,plain,
    ( c2_1(a1011)
    | ~ c0_1(a1011)
    | ~ spl0_134
    | ~ spl0_164 ),
    inference(resolution,[],[f1914,f861]) ).

fof(f1914,plain,
    ( c3_1(a1011)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1912]) ).

fof(f2831,plain,
    ( spl0_28
    | ~ spl0_43
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2830]) ).

fof(f2830,plain,
    ( $false
    | spl0_28
    | ~ spl0_43
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2823,f330]) ).

fof(f330,plain,
    ( ~ c1_1(a1002)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl0_28
  <=> c1_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2823,plain,
    ( c1_1(a1002)
    | ~ spl0_43
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(resolution,[],[f2809,f405]) ).

fof(f405,plain,
    ( c2_1(a1002)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f403,plain,
    ( spl0_43
  <=> c2_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2809,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f931,f926]) ).

fof(f926,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f925,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2829,plain,
    ( spl0_115
    | ~ spl0_117
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2828]) ).

fof(f2828,plain,
    ( $false
    | spl0_115
    | ~ spl0_117
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2821,f765]) ).

fof(f2821,plain,
    ( c1_1(a1008)
    | ~ spl0_117
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(resolution,[],[f2809,f775]) ).

fof(f2767,plain,
    ( ~ spl0_70
    | spl0_60
    | ~ spl0_75
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2737,f851,f563,f488,f538]) ).

fof(f563,plain,
    ( spl0_75
  <=> c1_1(a1011) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f851,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2737,plain,
    ( c2_1(a1011)
    | ~ c0_1(a1011)
    | ~ spl0_75
    | ~ spl0_132 ),
    inference(resolution,[],[f852,f565]) ).

fof(f565,plain,
    ( c1_1(a1011)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f852,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f2764,plain,
    ( spl0_100
    | ~ spl0_107
    | ~ spl0_111
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2763]) ).

fof(f2763,plain,
    ( $false
    | spl0_100
    | ~ spl0_107
    | ~ spl0_111
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2762,f725]) ).

fof(f725,plain,
    ( c2_1(a1019)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f723,plain,
    ( spl0_107
  <=> c2_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2762,plain,
    ( ~ c2_1(a1019)
    | spl0_100
    | ~ spl0_111
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2751,f690]) ).

fof(f690,plain,
    ( ~ c0_1(a1019)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f688,plain,
    ( spl0_100
  <=> c0_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2751,plain,
    ( c0_1(a1019)
    | ~ c2_1(a1019)
    | ~ spl0_111
    | ~ spl0_141 ),
    inference(resolution,[],[f892,f745]) ).

fof(f745,plain,
    ( c1_1(a1019)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f743,plain,
    ( spl0_111
  <=> c1_1(a1019) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f892,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f891,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2699,plain,
    ( spl0_155
    | spl0_99
    | ~ spl0_109
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2698,f869,f733,f683,f1315]) ).

fof(f683,plain,
    ( spl0_99
  <=> c0_1(a1003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2698,plain,
    ( c3_1(a1003)
    | spl0_99
    | ~ spl0_109
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2696,f685]) ).

fof(f685,plain,
    ( ~ c0_1(a1003)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f2696,plain,
    ( c3_1(a1003)
    | c0_1(a1003)
    | ~ spl0_109
    | ~ spl0_136 ),
    inference(resolution,[],[f735,f870]) ).

fof(f870,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f2652,plain,
    ( ~ spl0_68
    | spl0_61
    | ~ spl0_128
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2649,f860,f832,f493,f528]) ).

fof(f2649,plain,
    ( ~ c0_1(a1025)
    | spl0_61
    | ~ spl0_128
    | ~ spl0_134 ),
    inference(resolution,[],[f495,f2159]) ).

fof(f2159,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f833,f861]) ).

fof(f2644,plain,
    ( spl0_159
    | spl0_103
    | ~ spl0_110
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2643,f869,f738,f703,f1520]) ).

fof(f2643,plain,
    ( c0_1(a1004)
    | spl0_103
    | ~ spl0_110
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2223,f705]) ).

fof(f2223,plain,
    ( c3_1(a1004)
    | c0_1(a1004)
    | ~ spl0_110
    | ~ spl0_136 ),
    inference(resolution,[],[f870,f740]) ).

fof(f2640,plain,
    ( ~ spl0_107
    | spl0_100
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2628,f912,f869,f743,f688,f723]) ).

fof(f912,plain,
    ( spl0_145
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2628,plain,
    ( ~ c2_1(a1019)
    | spl0_100
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2610,f690]) ).

fof(f2610,plain,
    ( c0_1(a1019)
    | ~ c2_1(a1019)
    | spl0_100
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_145 ),
    inference(resolution,[],[f913,f2225]) ).

fof(f2225,plain,
    ( c3_1(a1019)
    | spl0_100
    | ~ spl0_111
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2220,f690]) ).

fof(f2220,plain,
    ( c3_1(a1019)
    | c0_1(a1019)
    | ~ spl0_111
    | ~ spl0_136 ),
    inference(resolution,[],[f870,f745]) ).

fof(f913,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f2636,plain,
    ( ~ spl0_39
    | spl0_24
    | ~ spl0_49
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2622,f912,f433,f308,f383]) ).

fof(f383,plain,
    ( spl0_39
  <=> c2_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f308,plain,
    ( spl0_24
  <=> c0_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f433,plain,
    ( spl0_49
  <=> c3_1(a1032) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2622,plain,
    ( ~ c2_1(a1032)
    | spl0_24
    | ~ spl0_49
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2607,f310]) ).

fof(f310,plain,
    ( ~ c0_1(a1032)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f2607,plain,
    ( c0_1(a1032)
    | ~ c2_1(a1032)
    | ~ spl0_49
    | ~ spl0_145 ),
    inference(resolution,[],[f913,f435]) ).

fof(f435,plain,
    ( c3_1(a1032)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f2617,plain,
    ( ~ spl0_158
    | spl0_58
    | ~ spl0_76
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2616,f912,f568,f478,f1468]) ).

fof(f568,plain,
    ( spl0_76
  <=> c3_1(a1045) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2616,plain,
    ( ~ c2_1(a1045)
    | spl0_58
    | ~ spl0_76
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2604,f480]) ).

fof(f2604,plain,
    ( c0_1(a1045)
    | ~ c2_1(a1045)
    | ~ spl0_76
    | ~ spl0_145 ),
    inference(resolution,[],[f913,f570]) ).

fof(f570,plain,
    ( c3_1(a1045)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f2585,plain,
    ( spl0_100
    | ~ spl0_111
    | ~ spl0_129
    | ~ spl0_132
    | ~ spl0_136
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2584]) ).

fof(f2584,plain,
    ( $false
    | spl0_100
    | ~ spl0_111
    | ~ spl0_129
    | ~ spl0_132
    | ~ spl0_136
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2567,f745]) ).

fof(f2567,plain,
    ( ~ c1_1(a1019)
    | spl0_100
    | ~ spl0_111
    | ~ spl0_129
    | ~ spl0_132
    | ~ spl0_136
    | ~ spl0_150 ),
    inference(resolution,[],[f2538,f2225]) ).

fof(f2538,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_129
    | ~ spl0_132
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f946,f1932]) ).

fof(f1932,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_129
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f852,f838]) ).

fof(f946,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f945,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2573,plain,
    ( ~ spl0_77
    | ~ spl0_129
    | ~ spl0_132
    | ~ spl0_150
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2572]) ).

fof(f2572,plain,
    ( $false
    | ~ spl0_77
    | ~ spl0_129
    | ~ spl0_132
    | ~ spl0_150
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2559,f1256]) ).

fof(f1256,plain,
    ( c1_1(a1029)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f2559,plain,
    ( ~ c1_1(a1029)
    | ~ spl0_77
    | ~ spl0_129
    | ~ spl0_132
    | ~ spl0_150 ),
    inference(resolution,[],[f2538,f575]) ).

fof(f575,plain,
    ( c3_1(a1029)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl0_77
  <=> c3_1(a1029) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2543,plain,
    ( spl0_35
    | spl0_25
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2539,f939,f860,f832,f313,f363]) ).

fof(f363,plain,
    ( spl0_35
  <=> c3_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f313,plain,
    ( spl0_25
  <=> c2_1(a1005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f939,plain,
    ( spl0_149
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2539,plain,
    ( c3_1(a1005)
    | spl0_25
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_149 ),
    inference(resolution,[],[f315,f2457]) ).

fof(f2457,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f940,f2159]) ).

fof(f940,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f315,plain,
    ( ~ c2_1(a1005)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f2536,plain,
    ( spl0_100
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2535]) ).

fof(f2535,plain,
    ( $false
    | spl0_100
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2523,f690]) ).

fof(f2523,plain,
    ( c0_1(a1019)
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(resolution,[],[f2504,f745]) ).

fof(f2504,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f896,f870]) ).

fof(f896,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f895,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2531,plain,
    ( spl0_58
    | ~ spl0_74
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2530]) ).

fof(f2530,plain,
    ( $false
    | spl0_58
    | ~ spl0_74
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2518,f480]) ).

fof(f2518,plain,
    ( c0_1(a1045)
    | ~ spl0_74
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(resolution,[],[f2504,f560]) ).

fof(f2258,plain,
    ( spl0_23
    | spl0_29
    | ~ spl0_48
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2257]) ).

fof(f2257,plain,
    ( $false
    | spl0_23
    | spl0_29
    | ~ spl0_48
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2256,f305]) ).

fof(f305,plain,
    ( ~ c0_1(a1015)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl0_23
  <=> c0_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2256,plain,
    ( c0_1(a1015)
    | spl0_29
    | ~ spl0_48
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2236,f335]) ).

fof(f335,plain,
    ( ~ c1_1(a1015)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl0_29
  <=> c1_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2236,plain,
    ( c1_1(a1015)
    | c0_1(a1015)
    | ~ spl0_48
    | ~ spl0_140 ),
    inference(resolution,[],[f886,f430]) ).

fof(f430,plain,
    ( c3_1(a1015)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f428,plain,
    ( spl0_48
  <=> c3_1(a1015) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f886,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f885,plain,
    ( spl0_140
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2108,plain,
    ( ~ spl0_106
    | ~ spl0_130
    | ~ spl0_134
    | ~ spl0_139
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2107]) ).

fof(f2107,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_130
    | ~ spl0_134
    | ~ spl0_139
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2093,f1847]) ).

fof(f1847,plain,
    ( c2_1(a1044)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1845]) ).

fof(f2093,plain,
    ( ~ c2_1(a1044)
    | ~ spl0_106
    | ~ spl0_130
    | ~ spl0_134
    | ~ spl0_139 ),
    inference(resolution,[],[f2088,f720]) ).

fof(f2088,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_130
    | ~ spl0_134
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f881,f2066]) ).

fof(f2066,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f843,f861]) ).

fof(f2081,plain,
    ( ~ spl0_77
    | ~ spl0_71
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2069,f860,f842,f543,f573]) ).

fof(f2069,plain,
    ( ~ c3_1(a1029)
    | ~ spl0_71
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(resolution,[],[f2066,f545]) ).

fof(f2063,plain,
    ( spl0_21
    | spl0_34
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2062]) ).

fof(f2062,plain,
    ( $false
    | spl0_21
    | spl0_34
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2061,f295]) ).

fof(f295,plain,
    ( ~ c0_1(a1041)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl0_21
  <=> c0_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2061,plain,
    ( c0_1(a1041)
    | spl0_34
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2052,f360]) ).

fof(f360,plain,
    ( ~ c3_1(a1041)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f358,plain,
    ( spl0_34
  <=> c3_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2052,plain,
    ( c3_1(a1041)
    | c0_1(a1041)
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(resolution,[],[f870,f1250]) ).

fof(f1250,plain,
    ( c1_1(a1041)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1248]) ).

fof(f1248,plain,
    ( spl0_153
  <=> c1_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2060,plain,
    ( spl0_22
    | spl0_36
    | ~ spl0_44
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2059]) ).

fof(f2059,plain,
    ( $false
    | spl0_22
    | spl0_36
    | ~ spl0_44
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2058,f300]) ).

fof(f300,plain,
    ( ~ c0_1(a1048)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl0_22
  <=> c0_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2058,plain,
    ( c0_1(a1048)
    | spl0_36
    | ~ spl0_44
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2049,f370]) ).

fof(f370,plain,
    ( ~ c3_1(a1048)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f368,plain,
    ( spl0_36
  <=> c3_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2049,plain,
    ( c3_1(a1048)
    | c0_1(a1048)
    | ~ spl0_44
    | ~ spl0_136 ),
    inference(resolution,[],[f870,f410]) ).

fof(f410,plain,
    ( c1_1(a1048)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f408,plain,
    ( spl0_44
  <=> c1_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1996,plain,
    ( spl0_127
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1928,f906,f832,f828]) ).

fof(f828,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f906,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1928,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(duplicate_literal_removal,[],[f1918]) ).

fof(f1918,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(resolution,[],[f833,f907]) ).

fof(f907,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f1916,plain,
    ( spl0_99
    | spl0_101
    | ~ spl0_109
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1908,f837,f733,f693,f683]) ).

fof(f1908,plain,
    ( c0_1(a1003)
    | spl0_101
    | ~ spl0_109
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1899,f735]) ).

fof(f1899,plain,
    ( ~ c1_1(a1003)
    | c0_1(a1003)
    | spl0_101
    | ~ spl0_129 ),
    inference(resolution,[],[f838,f695]) ).

fof(f1848,plain,
    ( spl0_163
    | spl0_104
    | ~ spl0_112
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1801,f876,f748,f708,f1845]) ).

fof(f876,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1801,plain,
    ( c3_1(a1044)
    | c2_1(a1044)
    | ~ spl0_112
    | ~ spl0_138 ),
    inference(resolution,[],[f750,f877]) ).

fof(f877,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f1793,plain,
    ( spl0_62
    | ~ spl0_67
    | ~ spl0_122
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1792]) ).

fof(f1792,plain,
    ( $false
    | spl0_62
    | ~ spl0_67
    | ~ spl0_122
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1791,f525]) ).

fof(f525,plain,
    ( c0_1(a1043)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f523,plain,
    ( spl0_67
  <=> c0_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1791,plain,
    ( ~ c0_1(a1043)
    | spl0_62
    | ~ spl0_122
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1776,f500]) ).

fof(f500,plain,
    ( ~ c1_1(a1043)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f1776,plain,
    ( c1_1(a1043)
    | ~ c0_1(a1043)
    | ~ spl0_122
    | ~ spl0_156 ),
    inference(resolution,[],[f808,f1331]) ).

fof(f1331,plain,
    ( c3_1(a1043)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1329]) ).

fof(f808,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f807,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1665,plain,
    ( spl0_66
    | ~ spl0_68
    | ~ spl0_127
    | ~ spl0_135
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1664]) ).

fof(f1664,plain,
    ( $false
    | spl0_66
    | ~ spl0_68
    | ~ spl0_127
    | ~ spl0_135
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1651,f520]) ).

fof(f520,plain,
    ( ~ c3_1(a1025)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1651,plain,
    ( c3_1(a1025)
    | ~ spl0_68
    | ~ spl0_127
    | ~ spl0_135
    | ~ spl0_138 ),
    inference(resolution,[],[f1612,f530]) ).

fof(f1612,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_127
    | ~ spl0_135
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f829,f1532]) ).

fof(f1532,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_135
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f865,f877]) ).

fof(f829,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f1642,plain,
    ( spl0_154
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1641,f906,f553,f543,f1254]) ).

fof(f1641,plain,
    ( c1_1(a1029)
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1640,f545]) ).

fof(f1640,plain,
    ( c1_1(a1029)
    | ~ c0_1(a1029)
    | ~ spl0_73
    | ~ spl0_144 ),
    inference(resolution,[],[f555,f907]) ).

fof(f1637,plain,
    ( spl0_30
    | ~ spl0_41
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1636]) ).

fof(f1636,plain,
    ( $false
    | spl0_30
    | ~ spl0_41
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1628,f340]) ).

fof(f340,plain,
    ( ~ c1_1(a1001)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl0_30
  <=> c1_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1628,plain,
    ( c1_1(a1001)
    | ~ spl0_41
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(resolution,[],[f1563,f395]) ).

fof(f395,plain,
    ( c2_1(a1001)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f393,plain,
    ( spl0_41
  <=> c2_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1563,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f920,f907]) ).

fof(f1635,plain,
    ( spl0_115
    | ~ spl0_117
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1634]) ).

fof(f1634,plain,
    ( $false
    | spl0_115
    | ~ spl0_117
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1627,f765]) ).

fof(f1627,plain,
    ( c1_1(a1008)
    | ~ spl0_117
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(resolution,[],[f1563,f775]) ).

fof(f1580,plain,
    ( spl0_153
    | spl0_21
    | spl0_34
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1409,f899,f358,f293,f1248]) ).

fof(f899,plain,
    ( spl0_143
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1409,plain,
    ( c0_1(a1041)
    | c1_1(a1041)
    | spl0_34
    | ~ spl0_143 ),
    inference(resolution,[],[f900,f360]) ).

fof(f900,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f1577,plain,
    ( spl0_36
    | ~ spl0_44
    | ~ spl0_135
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1576]) ).

fof(f1576,plain,
    ( $false
    | spl0_36
    | ~ spl0_44
    | ~ spl0_135
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1567,f370]) ).

fof(f1567,plain,
    ( c3_1(a1048)
    | ~ spl0_44
    | ~ spl0_135
    | ~ spl0_138 ),
    inference(resolution,[],[f1532,f410]) ).

fof(f1455,plain,
    ( spl0_30
    | ~ spl0_41
    | ~ spl0_46
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | spl0_30
    | ~ spl0_41
    | ~ spl0_46
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1453,f395]) ).

fof(f1453,plain,
    ( ~ c2_1(a1001)
    | spl0_30
    | ~ spl0_46
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1445,f340]) ).

fof(f1445,plain,
    ( c1_1(a1001)
    | ~ c2_1(a1001)
    | ~ spl0_46
    | ~ spl0_147 ),
    inference(resolution,[],[f926,f420]) ).

fof(f420,plain,
    ( c3_1(a1001)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl0_46
  <=> c3_1(a1001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1450,plain,
    ( spl0_154
    | ~ spl0_73
    | ~ spl0_77
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1449,f925,f573,f553,f1254]) ).

fof(f1449,plain,
    ( c1_1(a1029)
    | ~ spl0_73
    | ~ spl0_77
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1439,f555]) ).

fof(f1439,plain,
    ( c1_1(a1029)
    | ~ c2_1(a1029)
    | ~ spl0_77
    | ~ spl0_147 ),
    inference(resolution,[],[f926,f575]) ).

fof(f1289,plain,
    ( spl0_62
    | ~ spl0_67
    | ~ spl0_127
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1288]) ).

fof(f1288,plain,
    ( $false
    | spl0_62
    | ~ spl0_67
    | ~ spl0_127
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1282,f500]) ).

fof(f1282,plain,
    ( c1_1(a1043)
    | ~ spl0_67
    | ~ spl0_127
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(resolution,[],[f1277,f525]) ).

fof(f1277,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_127
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f829,f1206]) ).

fof(f1206,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f843,f861]) ).

fof(f1273,plain,
    ( ~ spl0_89
    | ~ spl0_91
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1272]) ).

fof(f1272,plain,
    ( $false
    | ~ spl0_89
    | ~ spl0_91
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1263,f645]) ).

fof(f645,plain,
    ( c3_1(a1040)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f643,plain,
    ( spl0_91
  <=> c3_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1263,plain,
    ( ~ c3_1(a1040)
    | ~ spl0_89
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(resolution,[],[f1206,f635]) ).

fof(f635,plain,
    ( c0_1(a1040)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f633,plain,
    ( spl0_89
  <=> c0_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1153,plain,
    ( spl0_102
    | ~ spl0_105
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | spl0_102
    | ~ spl0_105
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1151,f715]) ).

fof(f715,plain,
    ( c0_1(a1010)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f1151,plain,
    ( ~ c0_1(a1010)
    | spl0_102
    | ~ spl0_105
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1149,f700]) ).

fof(f700,plain,
    ( ~ c1_1(a1010)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f698,plain,
    ( spl0_102
  <=> c1_1(a1010) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1149,plain,
    ( c1_1(a1010)
    | ~ c0_1(a1010)
    | ~ spl0_105
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_144 ),
    inference(resolution,[],[f1118,f907]) ).

fof(f1118,plain,
    ( c2_1(a1010)
    | ~ spl0_105
    | ~ spl0_113
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1114,f715]) ).

fof(f1114,plain,
    ( c2_1(a1010)
    | ~ c0_1(a1010)
    | ~ spl0_113
    | ~ spl0_134 ),
    inference(resolution,[],[f861,f755]) ).

fof(f1141,plain,
    ( ~ spl0_37
    | spl0_28
    | ~ spl0_43
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1137,f906,f403,f328,f373]) ).

fof(f373,plain,
    ( spl0_37
  <=> c0_1(a1002) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1137,plain,
    ( ~ c0_1(a1002)
    | spl0_28
    | ~ spl0_43
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1129,f330]) ).

fof(f1129,plain,
    ( c1_1(a1002)
    | ~ c0_1(a1002)
    | ~ spl0_43
    | ~ spl0_144 ),
    inference(resolution,[],[f907,f405]) ).

fof(f1135,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_117
    | ~ spl0_125
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1134,plain,
    ( $false
    | spl0_115
    | spl0_116
    | ~ spl0_117
    | ~ spl0_125
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1133,f983]) ).

fof(f983,plain,
    ( c0_1(a1008)
    | spl0_116
    | ~ spl0_117
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f975,f770]) ).

fof(f975,plain,
    ( c3_1(a1008)
    | c0_1(a1008)
    | ~ spl0_117
    | ~ spl0_125 ),
    inference(resolution,[],[f820,f775]) ).

fof(f1133,plain,
    ( ~ c0_1(a1008)
    | spl0_115
    | ~ spl0_117
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1126,f765]) ).

fof(f1126,plain,
    ( c1_1(a1008)
    | ~ c0_1(a1008)
    | ~ spl0_117
    | ~ spl0_144 ),
    inference(resolution,[],[f907,f775]) ).

fof(f1091,plain,
    ( spl0_57
    | spl0_63
    | ~ spl0_72
    | ~ spl0_125
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1090]) ).

fof(f1090,plain,
    ( $false
    | spl0_57
    | spl0_63
    | ~ spl0_72
    | ~ spl0_125
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1089,f550]) ).

fof(f1089,plain,
    ( ~ c2_1(a1026)
    | spl0_57
    | spl0_63
    | ~ spl0_72
    | ~ spl0_125
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1081,f505]) ).

fof(f505,plain,
    ( ~ c1_1(a1026)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1081,plain,
    ( c1_1(a1026)
    | ~ c2_1(a1026)
    | spl0_57
    | ~ spl0_72
    | ~ spl0_125
    | ~ spl0_147 ),
    inference(resolution,[],[f926,f982]) ).

fof(f982,plain,
    ( c3_1(a1026)
    | spl0_57
    | ~ spl0_72
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f974,f475]) ).

fof(f974,plain,
    ( c3_1(a1026)
    | c0_1(a1026)
    | ~ spl0_72
    | ~ spl0_125 ),
    inference(resolution,[],[f820,f550]) ).

fof(f1054,plain,
    ( spl0_119
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1053,plain,
    ( $false
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1052,f790]) ).

fof(f790,plain,
    ( c0_1(a1006)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f788,plain,
    ( spl0_120
  <=> c0_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1052,plain,
    ( ~ c0_1(a1006)
    | spl0_119
    | ~ spl0_121
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1047,f785]) ).

fof(f785,plain,
    ( ~ c2_1(a1006)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f783,plain,
    ( spl0_119
  <=> c2_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1047,plain,
    ( c2_1(a1006)
    | ~ c0_1(a1006)
    | ~ spl0_121
    | ~ spl0_134 ),
    inference(resolution,[],[f861,f795]) ).

fof(f795,plain,
    ( c3_1(a1006)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f793,plain,
    ( spl0_121
  <=> c3_1(a1006) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1002,plain,
    ( spl0_64
    | spl0_65
    | ~ spl0_69
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f996,f828,f533,f513,f508]) ).

fof(f508,plain,
    ( spl0_64
  <=> c1_1(a1012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f996,plain,
    ( c1_1(a1012)
    | spl0_65
    | ~ spl0_69
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f989,f535]) ).

fof(f989,plain,
    ( ~ c0_1(a1012)
    | c1_1(a1012)
    | spl0_65
    | ~ spl0_127 ),
    inference(resolution,[],[f829,f515]) ).

fof(f985,plain,
    ( spl0_21
    | spl0_34
    | ~ spl0_40
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f979,f819,f388,f358,f293]) ).

fof(f388,plain,
    ( spl0_40
  <=> c2_1(a1041) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f979,plain,
    ( c0_1(a1041)
    | spl0_34
    | ~ spl0_40
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f972,f360]) ).

fof(f972,plain,
    ( c3_1(a1041)
    | c0_1(a1041)
    | ~ spl0_40
    | ~ spl0_125 ),
    inference(resolution,[],[f820,f390]) ).

fof(f390,plain,
    ( c2_1(a1041)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f969,plain,
    ( spl0_102
    | ~ spl0_105
    | ~ spl0_113
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f968]) ).

fof(f968,plain,
    ( $false
    | spl0_102
    | ~ spl0_105
    | ~ spl0_113
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f967,f715]) ).

fof(f967,plain,
    ( ~ c0_1(a1010)
    | spl0_102
    | ~ spl0_113
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f963,f700]) ).

fof(f963,plain,
    ( c1_1(a1010)
    | ~ c0_1(a1010)
    | ~ spl0_113
    | ~ spl0_122 ),
    inference(resolution,[],[f808,f755]) ).

fof(f951,plain,
    ( spl0_142
    | spl0_145
    | spl0_150
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f194,f945,f912,f895]) ).

fof(f194,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f949,plain,
    ( spl0_147
    | spl0_135
    | spl0_134
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f194,f860,f864,f925]) ).

fof(f190,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f948,plain,
    ( spl0_136
    | spl0_122
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f194,f880,f807,f869]) ).

fof(f189,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | c0_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f943,plain,
    ( spl0_125
    | spl0_144
    | spl0_128
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f194,f832,f906,f819]) ).

fof(f186,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c0_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f942,plain,
    ( spl0_146
    | spl0_132
    | spl0_144
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f194,f906,f851,f919]) ).

fof(f187,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | c0_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f941,plain,
    ( spl0_149
    | spl0_145
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f194,f778,f912,f939]) ).

fof(f778,plain,
    ( spl0_118
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f155,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f937,plain,
    ( spl0_136
    | spl0_130
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f194,f778,f842,f869]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f936,plain,
    ( spl0_147
    | spl0_144
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f194,f778,f906,f925]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f935,plain,
    ( spl0_132
    | spl0_130
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f194,f778,f842,f851]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f934,plain,
    ( spl0_124
    | spl0_129
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f194,f758,f837,f815]) ).

fof(f758,plain,
    ( spl0_114
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f932,plain,
    ( spl0_129
    | spl0_148
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f194,f678,f930,f837]) ).

fof(f678,plain,
    ( spl0_98
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f928,plain,
    ( spl0_138
    | spl0_146
    | spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f194,f668,f919,f876]) ).

fof(f668,plain,
    ( spl0_96
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f154,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f927,plain,
    ( spl0_141
    | spl0_147
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f194,f678,f925,f891]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f923,plain,
    ( spl0_137
    | spl0_134
    | spl0_97
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f194,f673,f860,f873]) ).

fof(f673,plain,
    ( spl0_97
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f922,plain,
    ( spl0_129
    | spl0_127
    | spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f194,f663,f828,f837]) ).

fof(f663,plain,
    ( spl0_95
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f921,plain,
    ( spl0_146
    | spl0_134
    | spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f194,f663,f860,f919]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f909,plain,
    ( spl0_142
    | spl0_122
    | spl0_53
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f194,f453,f807,f895]) ).

fof(f453,plain,
    ( spl0_53
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f903,plain,
    ( spl0_138
    | spl0_139
    | spl0_53
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f194,f453,f880,f876]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f902,plain,
    ( spl0_141
    | spl0_134
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f194,f443,f860,f891]) ).

fof(f443,plain,
    ( spl0_51
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f901,plain,
    ( spl0_137
    | spl0_143
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f194,f278,f899,f873]) ).

fof(f278,plain,
    ( spl0_18
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f151,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f893,plain,
    ( spl0_129
    | spl0_141
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f194,f238,f891,f837]) ).

fof(f238,plain,
    ( spl0_10
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f888,plain,
    ( spl0_125
    | spl0_122
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f194,f283,f807,f819]) ).

fof(f283,plain,
    ( spl0_19
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f887,plain,
    ( spl0_140
    | spl0_123
    | spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f194,f253,f811,f885]) ).

fof(f253,plain,
    ( spl0_13
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f883,plain,
    ( spl0_128
    | spl0_127
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f194,f263,f828,f832]) ).

fof(f263,plain,
    ( spl0_15
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f882,plain,
    ( spl0_139
    | spl0_123
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f194,f268,f811,f880]) ).

fof(f268,plain,
    ( spl0_16
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f871,plain,
    ( spl0_136
    | spl0_118
    | spl0_97
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f194,f673,f778,f869]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp6
      | ~ c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f867,plain,
    ( spl0_129
    | spl0_114
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f194,f678,f758,f837]) ).

fof(f132,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp7
      | ~ c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f866,plain,
    ( spl0_135
    | spl0_94
    | spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f194,f663,f658,f864]) ).

fof(f658,plain,
    ( spl0_94
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp23
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f848,plain,
    ( spl0_131
    | spl0_118
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f194,f468,f778,f846]) ).

fof(f468,plain,
    ( spl0_56
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp6
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f844,plain,
    ( spl0_130
    | spl0_96
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f194,f458,f668,f842]) ).

fof(f458,plain,
    ( spl0_54
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp3
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f840,plain,
    ( spl0_123
    | spl0_97
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f194,f438,f673,f811]) ).

fof(f438,plain,
    ( spl0_50
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f839,plain,
    ( spl0_129
    | spl0_50
    | spl0_52
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f194,f448,f438,f837]) ).

fof(f448,plain,
    ( spl0_52
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f131,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp9
      | ~ c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f835,plain,
    ( spl0_122
    | spl0_54
    | spl0_53
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f194,f453,f458,f807]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp24
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f834,plain,
    ( spl0_128
    | spl0_96
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f194,f243,f668,f832]) ).

fof(f243,plain,
    ( spl0_11
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp3
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f830,plain,
    ( spl0_127
    | spl0_81
    | spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f194,f258,f593,f828]) ).

fof(f593,plain,
    ( spl0_81
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f258,plain,
    ( spl0_14
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp29
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f821,plain,
    ( spl0_125
    | spl0_18
    | spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f134,f194,f248,f278,f819]) ).

fof(f248,plain,
    ( spl0_12
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f134,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp2
      | ~ c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f813,plain,
    ( spl0_123
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f194,f758,f811]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f809,plain,
    ( spl0_122
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f194,f658,f807]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f802,plain,
    ( spl0_118
    | spl0_55
    | spl0_51 ),
    inference(avatar_split_clause,[],[f35,f443,f463,f778]) ).

fof(f463,plain,
    ( spl0_55
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f35,axiom,
    ( hskp14
    | hskp27
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f801,plain,
    ( spl0_97
    | spl0_51
    | spl0_56 ),
    inference(avatar_split_clause,[],[f37,f468,f443,f673]) ).

fof(f37,axiom,
    ( hskp22
    | hskp14
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f800,plain,
    ( spl0_114
    | spl0_95
    | spl0_14 ),
    inference(avatar_split_clause,[],[f38,f258,f663,f758]) ).

fof(f38,axiom,
    ( hskp21
    | hskp4
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f796,plain,
    ( spl0_121
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f75,f778,f793]) ).

fof(f75,axiom,
    ( ~ hskp6
    | c3_1(a1006) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f791,plain,
    ( spl0_120
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f74,f778,f788]) ).

fof(f74,axiom,
    ( ~ hskp6
    | c0_1(a1006) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f786,plain,
    ( ~ spl0_119
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f120,f778,f783]) ).

fof(f120,axiom,
    ( ~ hskp6
    | ~ c2_1(a1006) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f781,plain,
    ( spl0_1
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f24,f778,f194]) ).

fof(f24,axiom,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f776,plain,
    ( spl0_117
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f73,f758,f773]) ).

fof(f73,axiom,
    ( ~ hskp7
    | c2_1(a1008) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f771,plain,
    ( ~ spl0_116
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f119,f758,f768]) ).

fof(f119,axiom,
    ( ~ hskp7
    | ~ c3_1(a1008) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f766,plain,
    ( ~ spl0_115
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f118,f758,f763]) ).

fof(f118,axiom,
    ( ~ hskp7
    | ~ c1_1(a1008) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f756,plain,
    ( spl0_113
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f72,f678,f753]) ).

fof(f72,axiom,
    ( ~ hskp8
    | c3_1(a1010) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f751,plain,
    ( spl0_112
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f54,f658,f748]) ).

fof(f54,axiom,
    ( ~ hskp23
    | c1_1(a1044) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f746,plain,
    ( spl0_111
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f65,f673,f743]) ).

fof(f65,axiom,
    ( ~ hskp12
    | c1_1(a1019) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f741,plain,
    ( spl0_110
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f76,f663,f738]) ).

fof(f76,axiom,
    ( ~ hskp4
    | c1_1(a1004) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f736,plain,
    ( spl0_109
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f78,f668,f733]) ).

fof(f78,axiom,
    ( ~ hskp3
    | c1_1(a1003) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f731,plain,
    ( spl0_108
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f77,f663,f728]) ).

fof(f77,axiom,
    ( ~ hskp4
    | c2_1(a1004) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f726,plain,
    ( spl0_107
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f66,f673,f723]) ).

fof(f66,axiom,
    ( ~ hskp12
    | c2_1(a1019) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f721,plain,
    ( spl0_106
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f53,f658,f718]) ).

fof(f53,axiom,
    ( ~ hskp23
    | c0_1(a1044) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f716,plain,
    ( spl0_105
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f71,f678,f713]) ).

fof(f71,axiom,
    ( ~ hskp8
    | c0_1(a1010) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f711,plain,
    ( ~ spl0_104
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f90,f658,f708]) ).

fof(f90,axiom,
    ( ~ hskp23
    | ~ c3_1(a1044) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f706,plain,
    ( ~ spl0_103
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f124,f663,f703]) ).

fof(f124,axiom,
    ( ~ hskp4
    | ~ c3_1(a1004) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f701,plain,
    ( ~ spl0_102
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f117,f678,f698]) ).

fof(f117,axiom,
    ( ~ hskp8
    | ~ c1_1(a1010) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f696,plain,
    ( ~ spl0_101
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f126,f668,f693]) ).

fof(f126,axiom,
    ( ~ hskp3
    | ~ c2_1(a1003) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f691,plain,
    ( ~ spl0_100
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f111,f673,f688]) ).

fof(f111,axiom,
    ( ~ hskp12
    | ~ c0_1(a1019) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f686,plain,
    ( ~ spl0_99
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f125,f668,f683]) ).

fof(f125,axiom,
    ( ~ hskp3
    | ~ c0_1(a1003) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f646,plain,
    ( spl0_91
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f42,f593,f643]) ).

fof(f42,axiom,
    ( ~ hskp29
    | c3_1(a1040) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f636,plain,
    ( spl0_89
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f40,f593,f633]) ).

fof(f40,axiom,
    ( ~ hskp29
    | c0_1(a1040) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f576,plain,
    ( spl0_77
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f48,f463,f573]) ).

fof(f48,axiom,
    ( ~ hskp27
    | c3_1(a1029) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f571,plain,
    ( spl0_76
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f52,f458,f568]) ).

fof(f52,axiom,
    ( ~ hskp24
    | c3_1(a1045) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f566,plain,
    ( spl0_75
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f70,f438,f563]) ).

fof(f70,axiom,
    ( ~ hskp9
    | c1_1(a1011) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f561,plain,
    ( spl0_74
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f51,f458,f558]) ).

fof(f51,axiom,
    ( ~ hskp24
    | c1_1(a1045) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f556,plain,
    ( spl0_73
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f47,f463,f553]) ).

fof(f47,axiom,
    ( ~ hskp27
    | c2_1(a1029) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f551,plain,
    ( spl0_72
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f62,f453,f548]) ).

fof(f62,axiom,
    ( ~ hskp15
    | c2_1(a1026) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f546,plain,
    ( spl0_71
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f46,f463,f543]) ).

fof(f46,axiom,
    ( ~ hskp27
    | c0_1(a1029) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f541,plain,
    ( spl0_70
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f69,f438,f538]) ).

fof(f69,axiom,
    ( ~ hskp9
    | c0_1(a1011) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f536,plain,
    ( spl0_69
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f68,f448,f533]) ).

fof(f68,axiom,
    ( ~ hskp10
    | c0_1(a1012) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f531,plain,
    ( spl0_68
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f63,f443,f528]) ).

fof(f63,axiom,
    ( ~ hskp14
    | c0_1(a1025) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f526,plain,
    ( spl0_67
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f55,f468,f523]) ).

fof(f55,axiom,
    ( ~ hskp22
    | c0_1(a1043) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f521,plain,
    ( ~ spl0_66
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f108,f443,f518]) ).

fof(f108,axiom,
    ( ~ hskp14
    | ~ c3_1(a1025) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f516,plain,
    ( ~ spl0_65
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f115,f448,f513]) ).

fof(f115,axiom,
    ( ~ hskp10
    | ~ c3_1(a1012) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f511,plain,
    ( ~ spl0_64
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f114,f448,f508]) ).

fof(f114,axiom,
    ( ~ hskp10
    | ~ c1_1(a1012) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f506,plain,
    ( ~ spl0_63
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f106,f453,f503]) ).

fof(f106,axiom,
    ( ~ hskp15
    | ~ c1_1(a1026) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f501,plain,
    ( ~ spl0_62
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f91,f468,f498]) ).

fof(f91,axiom,
    ( ~ hskp22
    | ~ c1_1(a1043) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f496,plain,
    ( ~ spl0_61
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f107,f443,f493]) ).

fof(f107,axiom,
    ( ~ hskp14
    | ~ c2_1(a1025) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f491,plain,
    ( ~ spl0_60
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f116,f438,f488]) ).

fof(f116,axiom,
    ( ~ hskp9
    | ~ c2_1(a1011) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f486,plain,
    ( ~ spl0_59
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f92,f468,f483]) ).

fof(f92,axiom,
    ( ~ hskp22
    | ~ c2_1(a1043) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f481,plain,
    ( ~ spl0_58
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f89,f458,f478]) ).

fof(f89,axiom,
    ( ~ hskp24
    | ~ c0_1(a1045) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f476,plain,
    ( ~ spl0_57
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f105,f453,f473]) ).

fof(f105,axiom,
    ( ~ hskp15
    | ~ c0_1(a1026) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f466,plain,
    ( spl0_1
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f3,f463,f194]) ).

fof(f3,axiom,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f446,plain,
    ( spl0_1
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f16,f443,f194]) ).

fof(f16,axiom,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

fof(f436,plain,
    ( spl0_49
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f60,f268,f433]) ).

fof(f60,axiom,
    ( ~ hskp17
    | c3_1(a1032) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f431,plain,
    ( spl0_48
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f67,f283,f428]) ).

fof(f67,axiom,
    ( ~ hskp11
    | c3_1(a1015) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f421,plain,
    ( spl0_46
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f82,f248,f418]) ).

fof(f82,axiom,
    ( ~ hskp1
    | c3_1(a1001) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f411,plain,
    ( spl0_44
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f50,f243,f408]) ).

fof(f50,axiom,
    ( ~ hskp25
    | c1_1(a1048) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f406,plain,
    ( spl0_43
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f80,f278,f403]) ).

fof(f80,axiom,
    ( ~ hskp2
    | c2_1(a1002) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f401,plain,
    ( spl0_42
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f84,f238,f398]) ).

fof(f84,axiom,
    ( ~ hskp0
    | c2_1(a1000) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f396,plain,
    ( spl0_41
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f81,f248,f393]) ).

fof(f81,axiom,
    ( ~ hskp1
    | c2_1(a1001) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f391,plain,
    ( spl0_40
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f56,f258,f388]) ).

fof(f56,axiom,
    ( ~ hskp21
    | c2_1(a1041) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f386,plain,
    ( spl0_39
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f59,f268,f383]) ).

fof(f59,axiom,
    ( ~ hskp17
    | c2_1(a1032) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f381,plain,
    ( spl0_38
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f83,f238,f378]) ).

fof(f83,axiom,
    ( ~ hskp0
    | c0_1(a1000) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f376,plain,
    ( spl0_37
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f79,f278,f373]) ).

fof(f79,axiom,
    ( ~ hskp2
    | c0_1(a1002) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f371,plain,
    ( ~ spl0_36
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f88,f243,f368]) ).

fof(f88,axiom,
    ( ~ hskp25
    | ~ c3_1(a1048) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f366,plain,
    ( ~ spl0_35
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f123,f253,f363]) ).

fof(f123,axiom,
    ( ~ hskp5
    | ~ c3_1(a1005) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f361,plain,
    ( ~ spl0_34
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f94,f258,f358]) ).

fof(f94,axiom,
    ( ~ hskp21
    | ~ c3_1(a1041) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f351,plain,
    ( ~ spl0_32
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f96,f263,f348]) ).

fof(f96,axiom,
    ( ~ hskp20
    | ~ c1_1(a1038) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f341,plain,
    ( ~ spl0_30
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f128,f248,f338]) ).

fof(f128,axiom,
    ( ~ hskp1
    | ~ c1_1(a1001) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f336,plain,
    ( ~ spl0_29
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f113,f283,f333]) ).

fof(f113,axiom,
    ( ~ hskp11
    | ~ c1_1(a1015) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f331,plain,
    ( ~ spl0_28
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f127,f278,f328]) ).

fof(f127,axiom,
    ( ~ hskp2
    | ~ c1_1(a1002) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f326,plain,
    ( ~ spl0_27
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f97,f263,f323]) ).

fof(f97,axiom,
    ( ~ hskp20
    | ~ c2_1(a1038) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f316,plain,
    ( ~ spl0_25
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f122,f253,f313]) ).

fof(f122,axiom,
    ( ~ hskp5
    | ~ c2_1(a1005) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f311,plain,
    ( ~ spl0_24
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f102,f268,f308]) ).

fof(f102,axiom,
    ( ~ hskp17
    | ~ c0_1(a1032) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f306,plain,
    ( ~ spl0_23
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f112,f283,f303]) ).

fof(f112,axiom,
    ( ~ hskp11
    | ~ c0_1(a1015) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f301,plain,
    ( ~ spl0_22
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f87,f243,f298]) ).

fof(f87,axiom,
    ( ~ hskp25
    | ~ c0_1(a1048) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f296,plain,
    ( ~ spl0_21
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f93,f258,f293]) ).

fof(f93,axiom,
    ( ~ hskp21
    | ~ c0_1(a1041) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN475-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 02:15:59 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (23983)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (23984)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (23986)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (23988)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (23985)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (23990)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (23989)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (23987)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [30]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [30]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [30]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [30]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  % (23989)First to succeed.
% 0.22/0.43  % (23989)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44  % (23989)------------------------------
% 0.22/0.44  % (23989)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44  % (23989)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (23989)Memory used [KB]: 1883
% 0.22/0.44  % (23989)Time elapsed: 0.049 s
% 0.22/0.44  % (23989)Instructions burned: 80 (million)
% 0.22/0.44  % (23989)------------------------------
% 0.22/0.44  % (23989)------------------------------
% 0.22/0.44  % (23983)Success in time 0.071 s
%------------------------------------------------------------------------------