TSTP Solution File: SYN448-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN448-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n020.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 : Wed Aug 31 19:38:04 EDT 2022

% Result   : Unsatisfiable 0.50s 0.58s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  171
% Syntax   : Number of formulae    :  368 (   1 unt;   0 def)
%            Number of atoms       : 1135 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1305 ( 538   ~; 672   |;   0   &)
%                                         (  95 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  118 ( 117 usr; 114 prp; 0-1 aty)
%            Number of functors    :   17 (  17 usr;  17 con; 0-0 aty)
%            Number of variables   :   80 (  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2434,plain,
    $false,
    inference(avatar_sat_refutation,[],[f218,f223,f231,f240,f263,f289,f311,f328,f380,f385,f390,f391,f396,f409,f423,f427,f437,f462,f470,f486,f491,f496,f506,f516,f537,f547,f556,f561,f567,f572,f578,f588,f599,f600,f605,f610,f616,f617,f622,f637,f653,f659,f664,f669,f674,f679,f693,f697,f703,f708,f719,f730,f732,f733,f735,f740,f745,f751,f752,f775,f780,f786,f797,f803,f810,f811,f816,f830,f839,f845,f855,f864,f869,f884,f903,f910,f915,f926,f952,f954,f965,f966,f1027,f1033,f1050,f1054,f1115,f1286,f1287,f1313,f1396,f1518,f1523,f1567,f1627,f1630,f1647,f1669,f1684,f1789,f1960,f1983,f1986,f2202,f2243,f2246,f2249,f2253,f2268,f2371,f2398,f2431,f2433]) ).

fof(f2433,plain,
    ( ~ spl0_150
    | ~ spl0_88
    | ~ spl0_110
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2418,f866,f695,f575,f936]) ).

fof(f936,plain,
    ( spl0_150
  <=> c0_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f575,plain,
    ( spl0_88
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f695,plain,
    ( spl0_110
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f866,plain,
    ( spl0_139
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2418,plain,
    ( ~ c1_1(a492)
    | ~ c0_1(a492)
    | ~ spl0_110
    | ~ spl0_139 ),
    inference(resolution,[],[f696,f868]) ).

fof(f868,plain,
    ( c3_1(a492)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f696,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f2431,plain,
    ( ~ spl0_176
    | ~ spl0_104
    | ~ spl0_110
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2411,f772,f695,f661,f1837]) ).

fof(f1837,plain,
    ( spl0_176
  <=> c0_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f661,plain,
    ( spl0_104
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f772,plain,
    ( spl0_123
  <=> c3_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2411,plain,
    ( ~ c1_1(a470)
    | ~ c0_1(a470)
    | ~ spl0_110
    | ~ spl0_123 ),
    inference(resolution,[],[f696,f774]) ).

fof(f774,plain,
    ( c3_1(a470)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f2398,plain,
    ( spl0_20
    | spl0_95
    | ~ spl0_32
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2396,f1216,f309,f613,f260]) ).

fof(f260,plain,
    ( spl0_20
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f613,plain,
    ( spl0_95
  <=> c1_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f309,plain,
    ( spl0_32
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1216,plain,
    ( spl0_166
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2396,plain,
    ( c1_1(a494)
    | c0_1(a494)
    | ~ spl0_32
    | ~ spl0_166 ),
    inference(resolution,[],[f310,f1218]) ).

fof(f1218,plain,
    ( c2_1(a494)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1216]) ).

fof(f310,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f2371,plain,
    ( ~ spl0_104
    | spl0_176
    | ~ spl0_57
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2146,f772,f425,f1837,f661]) ).

fof(f425,plain,
    ( spl0_57
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2146,plain,
    ( c0_1(a470)
    | ~ c1_1(a470)
    | ~ spl0_57
    | ~ spl0_123 ),
    inference(resolution,[],[f426,f774]) ).

fof(f426,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f2268,plain,
    ( spl0_95
    | spl0_166
    | ~ spl0_38
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2267,f842,f333,f1216,f613]) ).

fof(f333,plain,
    ( spl0_38
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f842,plain,
    ( spl0_135
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2267,plain,
    ( c2_1(a494)
    | c1_1(a494)
    | ~ spl0_38
    | spl0_135 ),
    inference(resolution,[],[f844,f334]) ).

fof(f334,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f844,plain,
    ( ~ c3_1(a494)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f2253,plain,
    ( spl0_15
    | spl0_161
    | ~ spl0_13
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1809,f881,f229,f1057,f237]) ).

fof(f237,plain,
    ( spl0_15
  <=> c1_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1057,plain,
    ( spl0_161
  <=> c3_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f229,plain,
    ( spl0_13
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f881,plain,
    ( spl0_142
  <=> c2_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1809,plain,
    ( c3_1(a476)
    | c1_1(a476)
    | ~ spl0_13
    | ~ spl0_142 ),
    inference(resolution,[],[f230,f883]) ).

fof(f883,plain,
    ( c2_1(a476)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f230,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f2249,plain,
    ( spl0_135
    | spl0_95
    | ~ spl0_13
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2040,f1216,f229,f613,f842]) ).

fof(f2040,plain,
    ( c1_1(a494)
    | c3_1(a494)
    | ~ spl0_13
    | ~ spl0_166 ),
    inference(resolution,[],[f1218,f230]) ).

fof(f2246,plain,
    ( spl0_31
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2108,f333,f191,f306]) ).

fof(f306,plain,
    ( spl0_31
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f191,plain,
    ( spl0_4
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2108,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f2096]) ).

fof(f2096,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(resolution,[],[f334,f192]) ).

fof(f192,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f2243,plain,
    ( spl0_125
    | spl0_47
    | ~ spl0_107
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2228,f727,f677,f377,f783]) ).

fof(f783,plain,
    ( spl0_125
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f377,plain,
    ( spl0_47
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f677,plain,
    ( spl0_107
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f727,plain,
    ( spl0_116
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2228,plain,
    ( c0_1(a478)
    | c3_1(a478)
    | ~ spl0_107
    | ~ spl0_116 ),
    inference(resolution,[],[f678,f729]) ).

fof(f729,plain,
    ( c2_1(a478)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f678,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f2202,plain,
    ( spl0_28
    | ~ spl0_57
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2201,f651,f425,f295]) ).

fof(f295,plain,
    ( spl0_28
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f651,plain,
    ( spl0_102
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2201,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_57
    | ~ spl0_102 ),
    inference(duplicate_literal_removal,[],[f2184]) ).

fof(f2184,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | c0_1(X1) )
    | ~ spl0_57
    | ~ spl0_102 ),
    inference(resolution,[],[f652,f426]) ).

fof(f652,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f1986,plain,
    ( spl0_124
    | spl0_72
    | ~ spl0_83
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1981,f949,f549,f493,f777]) ).

fof(f777,plain,
    ( spl0_124
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f493,plain,
    ( spl0_72
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f549,plain,
    ( spl0_83
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f949,plain,
    ( spl0_151
  <=> c0_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1981,plain,
    ( c3_1(a488)
    | c2_1(a488)
    | ~ spl0_83
    | ~ spl0_151 ),
    inference(resolution,[],[f550,f951]) ).

fof(f951,plain,
    ( c0_1(a488)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f550,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f1983,plain,
    ( spl0_86
    | spl0_118
    | ~ spl0_83
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1980,f671,f549,f742,f564]) ).

fof(f564,plain,
    ( spl0_86
  <=> c3_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f742,plain,
    ( spl0_118
  <=> c2_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f671,plain,
    ( spl0_106
  <=> c0_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1980,plain,
    ( c2_1(a460)
    | c3_1(a460)
    | ~ spl0_83
    | ~ spl0_106 ),
    inference(resolution,[],[f550,f673]) ).

fof(f673,plain,
    ( c0_1(a460)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f1960,plain,
    ( ~ spl0_48
    | spl0_130
    | ~ spl0_26
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1951,f518,f286,f813,f382]) ).

fof(f382,plain,
    ( spl0_48
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f813,plain,
    ( spl0_130
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f286,plain,
    ( spl0_26
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f518,plain,
    ( spl0_77
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1951,plain,
    ( c0_1(a500)
    | ~ c1_1(a500)
    | ~ spl0_26
    | ~ spl0_77 ),
    inference(resolution,[],[f519,f288]) ).

fof(f288,plain,
    ( c2_1(a500)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f519,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1789,plain,
    ( spl0_118
    | spl0_155
    | ~ spl0_38
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1784,f564,f333,f980,f742]) ).

fof(f980,plain,
    ( spl0_155
  <=> c1_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1784,plain,
    ( c1_1(a460)
    | c2_1(a460)
    | ~ spl0_38
    | spl0_86 ),
    inference(resolution,[],[f334,f566]) ).

fof(f566,plain,
    ( ~ c3_1(a460)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1684,plain,
    ( spl0_150
    | ~ spl0_88
    | ~ spl0_57
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1679,f866,f425,f575,f936]) ).

fof(f1679,plain,
    ( ~ c1_1(a492)
    | c0_1(a492)
    | ~ spl0_57
    | ~ spl0_139 ),
    inference(resolution,[],[f426,f868]) ).

fof(f1669,plain,
    ( ~ spl0_160
    | spl0_55
    | ~ spl0_53
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1662,f503,f407,f416,f1030]) ).

fof(f1030,plain,
    ( spl0_160
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f416,plain,
    ( spl0_55
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f407,plain,
    ( spl0_53
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f503,plain,
    ( spl0_74
  <=> c3_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1662,plain,
    ( c1_1(a474)
    | ~ c0_1(a474)
    | ~ spl0_53
    | ~ spl0_74 ),
    inference(resolution,[],[f408,f505]) ).

fof(f505,plain,
    ( c3_1(a474)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f408,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1647,plain,
    ( ~ spl0_106
    | spl0_118
    | ~ spl0_36
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1645,f980,f326,f742,f671]) ).

fof(f326,plain,
    ( spl0_36
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1645,plain,
    ( c2_1(a460)
    | ~ c0_1(a460)
    | ~ spl0_36
    | ~ spl0_155 ),
    inference(resolution,[],[f327,f982]) ).

fof(f982,plain,
    ( c1_1(a460)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f327,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f1630,plain,
    ( ~ spl0_152
    | spl0_50
    | ~ spl0_67
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1604,f607,f468,f393,f962]) ).

fof(f962,plain,
    ( spl0_152
  <=> c0_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f393,plain,
    ( spl0_50
  <=> c1_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f468,plain,
    ( spl0_67
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f607,plain,
    ( spl0_94
  <=> c2_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1604,plain,
    ( c1_1(a503)
    | ~ c0_1(a503)
    | ~ spl0_67
    | ~ spl0_94 ),
    inference(resolution,[],[f469,f609]) ).

fof(f609,plain,
    ( c2_1(a503)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f469,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1627,plain,
    ( spl0_15
    | ~ spl0_112
    | ~ spl0_67
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1610,f881,f468,f705,f237]) ).

fof(f705,plain,
    ( spl0_112
  <=> c0_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1610,plain,
    ( ~ c0_1(a476)
    | c1_1(a476)
    | ~ spl0_67
    | ~ spl0_142 ),
    inference(resolution,[],[f469,f883]) ).

fof(f1567,plain,
    ( spl0_72
    | spl0_96
    | ~ spl0_24
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1565,f949,f278,f619,f493]) ).

fof(f619,plain,
    ( spl0_96
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f278,plain,
    ( spl0_24
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1565,plain,
    ( c1_1(a488)
    | c3_1(a488)
    | ~ spl0_24
    | ~ spl0_151 ),
    inference(resolution,[],[f951,f279]) ).

fof(f279,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f1523,plain,
    ( ~ spl0_94
    | ~ spl0_152
    | ~ spl0_84
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1502,f597,f553,f962,f607]) ).

fof(f553,plain,
    ( spl0_84
  <=> c3_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f597,plain,
    ( spl0_92
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1502,plain,
    ( ~ c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_84
    | ~ spl0_92 ),
    inference(resolution,[],[f598,f555]) ).

fof(f555,plain,
    ( c3_1(a503)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f598,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f1518,plain,
    ( ~ spl0_112
    | ~ spl0_142
    | ~ spl0_92
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1506,f1057,f597,f881,f705]) ).

fof(f1506,plain,
    ( ~ c2_1(a476)
    | ~ c0_1(a476)
    | ~ spl0_92
    | ~ spl0_161 ),
    inference(resolution,[],[f598,f1059]) ).

fof(f1059,plain,
    ( c3_1(a476)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1396,plain,
    ( spl0_87
    | spl0_117
    | ~ spl0_65
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1395,f1024,f460,f737,f569]) ).

fof(f569,plain,
    ( spl0_87
  <=> c2_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f737,plain,
    ( spl0_117
  <=> c3_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f460,plain,
    ( spl0_65
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1024,plain,
    ( spl0_159
  <=> c1_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1395,plain,
    ( c3_1(a465)
    | c2_1(a465)
    | ~ spl0_65
    | ~ spl0_159 ),
    inference(resolution,[],[f461,f1026]) ).

fof(f1026,plain,
    ( c1_1(a465)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f461,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f1313,plain,
    ( ~ spl0_76
    | spl0_70
    | ~ spl0_57
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1306,f716,f425,f483,f513]) ).

fof(f513,plain,
    ( spl0_76
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f483,plain,
    ( spl0_70
  <=> c0_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f716,plain,
    ( spl0_114
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1306,plain,
    ( c0_1(a466)
    | ~ c1_1(a466)
    | ~ spl0_57
    | ~ spl0_114 ),
    inference(resolution,[],[f426,f718]) ).

fof(f718,plain,
    ( c3_1(a466)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f1287,plain,
    ( ~ spl0_152
    | spl0_50
    | ~ spl0_53
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1269,f553,f407,f393,f962]) ).

fof(f1269,plain,
    ( c1_1(a503)
    | ~ c0_1(a503)
    | ~ spl0_53
    | ~ spl0_84 ),
    inference(resolution,[],[f408,f555]) ).

fof(f1286,plain,
    ( ~ spl0_112
    | spl0_15
    | ~ spl0_53
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1274,f1057,f407,f237,f705]) ).

fof(f1274,plain,
    ( c1_1(a476)
    | ~ c0_1(a476)
    | ~ spl0_53
    | ~ spl0_161 ),
    inference(resolution,[],[f408,f1059]) ).

fof(f1115,plain,
    ( spl0_82
    | spl0_87
    | ~ spl0_28
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1113,f1024,f295,f569,f544]) ).

fof(f544,plain,
    ( spl0_82
  <=> c0_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1113,plain,
    ( c2_1(a465)
    | c0_1(a465)
    | ~ spl0_28
    | ~ spl0_159 ),
    inference(resolution,[],[f296,f1026]) ).

fof(f296,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f1054,plain,
    ( spl0_11
    | ~ spl0_59
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1040,f323,f215,f434,f220]) ).

fof(f220,plain,
    ( spl0_11
  <=> c0_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f434,plain,
    ( spl0_59
  <=> c2_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f215,plain,
    ( spl0_10
  <=> c3_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f323,plain,
    ( spl0_35
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1040,plain,
    ( ~ c2_1(a502)
    | c0_1(a502)
    | ~ spl0_10
    | ~ spl0_35 ),
    inference(resolution,[],[f324,f217]) ).

fof(f217,plain,
    ( c3_1(a502)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f324,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f1050,plain,
    ( spl0_152
    | ~ spl0_94
    | ~ spl0_35
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1039,f553,f323,f607,f962]) ).

fof(f1039,plain,
    ( ~ c2_1(a503)
    | c0_1(a503)
    | ~ spl0_35
    | ~ spl0_84 ),
    inference(resolution,[],[f324,f555]) ).

fof(f1033,plain,
    ( spl0_55
    | spl0_160
    | ~ spl0_31
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1016,f534,f306,f1030,f416]) ).

fof(f534,plain,
    ( spl0_80
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1016,plain,
    ( c0_1(a474)
    | c1_1(a474)
    | ~ spl0_31
    | spl0_80 ),
    inference(resolution,[],[f307,f536]) ).

fof(f536,plain,
    ( ~ c2_1(a474)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f307,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f1027,plain,
    ( spl0_82
    | spl0_159
    | ~ spl0_31
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1021,f569,f306,f1024,f544]) ).

fof(f1021,plain,
    ( c1_1(a465)
    | c0_1(a465)
    | ~ spl0_31
    | spl0_87 ),
    inference(resolution,[],[f307,f571]) ).

fof(f571,plain,
    ( ~ c2_1(a465)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f966,plain,
    ( spl0_71
    | spl0_93
    | ~ spl0_32
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f960,f585,f309,f602,f488]) ).

fof(f488,plain,
    ( spl0_71
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f602,plain,
    ( spl0_93
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f585,plain,
    ( spl0_90
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f960,plain,
    ( c1_1(a463)
    | c0_1(a463)
    | ~ spl0_32
    | ~ spl0_90 ),
    inference(resolution,[],[f310,f587]) ).

fof(f587,plain,
    ( c2_1(a463)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f965,plain,
    ( spl0_152
    | spl0_50
    | ~ spl0_32
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f956,f607,f309,f393,f962]) ).

fof(f956,plain,
    ( c1_1(a503)
    | c0_1(a503)
    | ~ spl0_32
    | ~ spl0_94 ),
    inference(resolution,[],[f310,f609]) ).

fof(f954,plain,
    ( spl0_105
    | spl0_137
    | ~ spl0_31
    | spl0_103 ),
    inference(avatar_split_clause,[],[f947,f656,f306,f852,f666]) ).

fof(f666,plain,
    ( spl0_105
  <=> c0_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f852,plain,
    ( spl0_137
  <=> c1_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f656,plain,
    ( spl0_103
  <=> c2_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f947,plain,
    ( c1_1(a480)
    | c0_1(a480)
    | ~ spl0_31
    | spl0_103 ),
    inference(resolution,[],[f307,f658]) ).

fof(f658,plain,
    ( ~ c2_1(a480)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f952,plain,
    ( spl0_96
    | spl0_151
    | ~ spl0_31
    | spl0_124 ),
    inference(avatar_split_clause,[],[f946,f777,f306,f949,f619]) ).

fof(f946,plain,
    ( c0_1(a488)
    | c1_1(a488)
    | ~ spl0_31
    | spl0_124 ),
    inference(resolution,[],[f307,f779]) ).

fof(f779,plain,
    ( ~ c2_1(a488)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f926,plain,
    ( spl0_127
    | spl0_134
    | ~ spl0_24
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f924,f558,f278,f836,f794]) ).

fof(f794,plain,
    ( spl0_127
  <=> c1_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f836,plain,
    ( spl0_134
  <=> c3_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f558,plain,
    ( spl0_85
  <=> c0_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f924,plain,
    ( c3_1(a533)
    | c1_1(a533)
    | ~ spl0_24
    | ~ spl0_85 ),
    inference(resolution,[],[f279,f560]) ).

fof(f560,plain,
    ( c0_1(a533)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f915,plain,
    ( spl0_119
    | spl0_146
    | ~ spl0_13
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f913,f630,f229,f900,f748]) ).

fof(f748,plain,
    ( spl0_119
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f900,plain,
    ( spl0_146
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f630,plain,
    ( spl0_98
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f913,plain,
    ( c1_1(a471)
    | c3_1(a471)
    | ~ spl0_13
    | ~ spl0_98 ),
    inference(resolution,[],[f230,f632]) ).

fof(f632,plain,
    ( c2_1(a471)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f910,plain,
    ( spl0_12
    | ~ spl0_3
    | spl0_36
    | spl0_25 ),
    inference(avatar_split_clause,[],[f138,f282,f326,f187,f225]) ).

fof(f225,plain,
    ( spl0_12
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f187,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f282,plain,
    ( spl0_25
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f138,axiom,
    ! [X0] :
      ( hskp18
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp20
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f903,plain,
    ( ~ spl0_146
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f112,f634,f900]) ).

fof(f634,plain,
    ( spl0_99
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f112,axiom,
    ( ~ hskp6
    | ~ c1_1(a471) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f884,plain,
    ( ~ spl0_14
    | spl0_142 ),
    inference(avatar_split_clause,[],[f71,f881,f233]) ).

fof(f233,plain,
    ( spl0_14
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f71,axiom,
    ( c2_1(a476)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f869,plain,
    ( spl0_139
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f64,f347,f866]) ).

fof(f347,plain,
    ( spl0_41
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f64,axiom,
    ( ~ hskp15
    | c3_1(a492) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f864,plain,
    ( spl0_3
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f18,f403,f187]) ).

fof(f403,plain,
    ( spl0_52
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f18,axiom,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f855,plain,
    ( ~ spl0_52
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f103,f852,f403]) ).

fof(f103,axiom,
    ( ~ c1_1(a480)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f845,plain,
    ( ~ spl0_19
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f94,f842,f256]) ).

fof(f256,plain,
    ( spl0_19
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f94,axiom,
    ( ~ c3_1(a494)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f839,plain,
    ( ~ spl0_134
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f86,f387,f836]) ).

fof(f387,plain,
    ( spl0_49
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f86,axiom,
    ( ~ hskp23
    | ~ c3_1(a533) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f830,plain,
    ( ~ spl0_3
    | spl0_31
    | spl0_57
    | spl0_83 ),
    inference(avatar_split_clause,[],[f172,f549,f425,f306,f187]) ).

fof(f172,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f816,plain,
    ( ~ spl0_130
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f91,f282,f813]) ).

fof(f91,axiom,
    ( ~ hskp18
    | ~ c0_1(a500) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f811,plain,
    ( spl0_52
    | ~ spl0_3
    | spl0_42
    | spl0_13 ),
    inference(avatar_split_clause,[],[f134,f229,f353,f187,f403]) ).

fof(f353,plain,
    ( spl0_42
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f134,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp14
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f810,plain,
    ( spl0_52
    | spl0_99
    | spl0_12 ),
    inference(avatar_split_clause,[],[f37,f225,f634,f403]) ).

fof(f37,axiom,
    ( hskp20
    | hskp6
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f803,plain,
    ( spl0_99
    | spl0_81
    | spl0_32
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f127,f187,f309,f540,f634]) ).

fof(f540,plain,
    ( spl0_81
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f127,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | hskp2
      | c0_1(X0)
      | c1_1(X0)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f797,plain,
    ( ~ spl0_127
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f85,f387,f794]) ).

fof(f85,axiom,
    ( ~ hskp23
    | ~ c1_1(a533) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f786,plain,
    ( ~ spl0_125
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f106,f373,f783]) ).

fof(f373,plain,
    ( spl0_46
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f106,axiom,
    ( ~ hskp11
    | ~ c3_1(a478) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f780,plain,
    ( ~ spl0_42
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f99,f777,f353]) ).

fof(f99,axiom,
    ( ~ c2_1(a488)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f775,plain,
    ( spl0_123
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f46,f318,f772]) ).

fof(f318,plain,
    ( spl0_34
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f46,axiom,
    ( ~ hskp26
    | c3_1(a470) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f752,plain,
    ( spl0_3
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f24,f634,f187]) ).

fof(f24,axiom,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f751,plain,
    ( ~ spl0_99
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f113,f748,f634]) ).

fof(f113,axiom,
    ( ~ c3_1(a471)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f745,plain,
    ( ~ spl0_30
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f123,f742,f302]) ).

fof(f302,plain,
    ( spl0_30
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f123,axiom,
    ( ~ c2_1(a460)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f740,plain,
    ( ~ spl0_117
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f120,f540,f737]) ).

fof(f120,axiom,
    ( ~ hskp2
    | ~ c3_1(a465) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f735,plain,
    ( spl0_83
    | spl0_24
    | spl0_52
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f151,f187,f403,f278,f549]) ).

fof(f151,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f733,plain,
    ( spl0_18
    | ~ spl0_3
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f125,f306,f302,f187,f251]) ).

fof(f251,plain,
    ( spl0_18
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f125,axiom,
    ! [X0] :
      ( c0_1(X0)
      | hskp0
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X0)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f732,plain,
    ( spl0_77
    | ~ spl0_3
    | spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f157,f278,f233,f187,f518]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | hskp9
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f730,plain,
    ( ~ spl0_46
    | spl0_116 ),
    inference(avatar_split_clause,[],[f67,f727,f373]) ).

fof(f67,axiom,
    ( c2_1(a478)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f719,plain,
    ( spl0_114
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f80,f398,f716]) ).

fof(f398,plain,
    ( spl0_51
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f80,axiom,
    ( ~ hskp3
    | c3_1(a466) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f708,plain,
    ( spl0_112
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f70,f233,f705]) ).

fof(f70,axiom,
    ( ~ hskp9
    | c0_1(a476) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f703,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_67
    | spl0_92 ),
    inference(avatar_split_clause,[],[f170,f597,f468,f256,f187]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | hskp17
      | ~ c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f697,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_83
    | spl0_110 ),
    inference(avatar_split_clause,[],[f166,f695,f549,f187,f398]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | hskp3
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f693,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_41
    | spl0_38 ),
    inference(avatar_split_clause,[],[f126,f333,f347,f187,f398]) ).

fof(f126,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c2_1(X0)
      | hskp15
      | ~ ndr1_0
      | c3_1(X0)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f679,plain,
    ( spl0_30
    | spl0_52
    | ~ spl0_3
    | spl0_107 ),
    inference(avatar_split_clause,[],[f128,f677,f187,f403,f302]) ).

fof(f128,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp12
      | hskp0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f674,plain,
    ( ~ spl0_30
    | spl0_106 ),
    inference(avatar_split_clause,[],[f82,f671,f302]) ).

fof(f82,axiom,
    ( c0_1(a460)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f669,plain,
    ( ~ spl0_52
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f102,f666,f403]) ).

fof(f102,axiom,
    ( ~ c0_1(a480)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f664,plain,
    ( ~ spl0_34
    | spl0_104 ),
    inference(avatar_split_clause,[],[f44,f661,f318]) ).

fof(f44,axiom,
    ( c1_1(a470)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f659,plain,
    ( ~ spl0_52
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f104,f656,f403]) ).

fof(f104,axiom,
    ( ~ c2_1(a480)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f653,plain,
    ( spl0_102
    | ~ spl0_3
    | spl0_56
    | spl0_83 ),
    inference(avatar_split_clause,[],[f146,f549,f420,f187,f651]) ).

fof(f420,plain,
    ( spl0_56
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f146,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ c0_1(X0)
      | hskp7
      | ~ ndr1_0
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f637,plain,
    ( spl0_98
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f75,f634,f630]) ).

fof(f75,axiom,
    ( ~ hskp6
    | c2_1(a471) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f622,plain,
    ( ~ spl0_96
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f98,f353,f619]) ).

fof(f98,axiom,
    ( ~ hskp14
    | ~ c1_1(a488) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f617,plain,
    ( spl0_34
    | spl0_32
    | ~ spl0_3
    | spl0_92 ),
    inference(avatar_split_clause,[],[f160,f597,f187,f309,f318]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f616,plain,
    ( ~ spl0_95
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f93,f256,f613]) ).

fof(f93,axiom,
    ( ~ hskp17
    | ~ c1_1(a494) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f610,plain,
    ( spl0_94
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f56,f225,f607]) ).

fof(f56,axiom,
    ( ~ hskp20
    | c2_1(a503) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f605,plain,
    ( ~ spl0_93
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f122,f251,f602]) ).

fof(f122,axiom,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f600,plain,
    ( spl0_14
    | spl0_4
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f155,f323,f187,f191,f233]) ).

fof(f155,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | hskp9
      | c2_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f599,plain,
    ( ~ spl0_3
    | spl0_57
    | spl0_42
    | spl0_92 ),
    inference(avatar_split_clause,[],[f168,f597,f353,f425,f187]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | hskp14
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f588,plain,
    ( spl0_90
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f81,f251,f585]) ).

fof(f81,axiom,
    ( ~ hskp1
    | c2_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f578,plain,
    ( ~ spl0_41
    | spl0_88 ),
    inference(avatar_split_clause,[],[f63,f575,f347]) ).

fof(f63,axiom,
    ( c1_1(a492)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f572,plain,
    ( ~ spl0_81
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f119,f569,f540]) ).

fof(f119,axiom,
    ( ~ c2_1(a465)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f567,plain,
    ( ~ spl0_30
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f124,f564,f302]) ).

fof(f124,axiom,
    ( ~ c3_1(a460)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f561,plain,
    ( ~ spl0_49
    | spl0_85 ),
    inference(avatar_split_clause,[],[f51,f558,f387]) ).

fof(f51,axiom,
    ( c0_1(a533)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f556,plain,
    ( spl0_84
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f57,f225,f553]) ).

fof(f57,axiom,
    ( ~ hskp20
    | c3_1(a503) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f547,plain,
    ( ~ spl0_81
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f118,f544,f540]) ).

fof(f118,axiom,
    ( ~ c0_1(a465)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f537,plain,
    ( ~ spl0_80
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f111,f420,f534]) ).

fof(f111,axiom,
    ( ~ hskp7
    | ~ c2_1(a474) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f516,plain,
    ( ~ spl0_51
    | spl0_76 ),
    inference(avatar_split_clause,[],[f79,f513,f398]) ).

fof(f79,axiom,
    ( c1_1(a466)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f506,plain,
    ( ~ spl0_56
    | spl0_74 ),
    inference(avatar_split_clause,[],[f74,f503,f420]) ).

fof(f74,axiom,
    ( c3_1(a474)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f496,plain,
    ( ~ spl0_42
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f100,f493,f353]) ).

fof(f100,axiom,
    ( ~ c3_1(a488)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f491,plain,
    ( ~ spl0_71
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f121,f251,f488]) ).

fof(f121,axiom,
    ( ~ hskp1
    | ~ c0_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f486,plain,
    ( ~ spl0_70
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f117,f398,f483]) ).

fof(f117,axiom,
    ( ~ hskp3
    | ~ c0_1(a466) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f470,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_53
    | spl0_67 ),
    inference(avatar_split_clause,[],[f164,f468,f407,f233,f187]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c1_1(X0)
      | hskp9
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f462,plain,
    ( spl0_56
    | ~ spl0_3
    | spl0_46
    | spl0_65 ),
    inference(avatar_split_clause,[],[f135,f460,f373,f187,f420]) ).

fof(f135,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | hskp7
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f437,plain,
    ( ~ spl0_9
    | spl0_59 ),
    inference(avatar_split_clause,[],[f58,f434,f211]) ).

fof(f211,plain,
    ( spl0_9
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f58,axiom,
    ( c2_1(a502)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f427,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_57
    | spl0_35 ),
    inference(avatar_split_clause,[],[f174,f323,f425,f295,f187]) ).

fof(f174,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c3_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | c2_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f423,plain,
    ( ~ spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f110,f420,f416]) ).

fof(f110,axiom,
    ( ~ hskp7
    | ~ c1_1(a474) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f409,plain,
    ( ~ spl0_3
    | spl0_52
    | spl0_53
    | spl0_51 ),
    inference(avatar_split_clause,[],[f137,f398,f407,f403,f187]) ).

fof(f137,axiom,
    ! [X0] :
      ( hskp3
      | c1_1(X0)
      | hskp12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f396,plain,
    ( ~ spl0_12
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f89,f393,f225]) ).

fof(f89,axiom,
    ( ~ c1_1(a503)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f391,plain,
    ( spl0_3
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f10,f225,f187]) ).

fof(f10,axiom,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f390,plain,
    ( spl0_12
    | spl0_14
    | spl0_49 ),
    inference(avatar_split_clause,[],[f34,f387,f233,f225]) ).

fof(f34,axiom,
    ( hskp23
    | hskp9
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f385,plain,
    ( spl0_48
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f60,f282,f382]) ).

fof(f60,axiom,
    ( ~ hskp18
    | c1_1(a500) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f380,plain,
    ( ~ spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f105,f377,f373]) ).

fof(f105,axiom,
    ( ~ c0_1(a478)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f328,plain,
    ( spl0_35
    | ~ spl0_3
    | spl0_13
    | spl0_36 ),
    inference(avatar_split_clause,[],[f176,f326,f229,f187,f323]) ).

fof(f176,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2)
      | c3_1(X1)
      | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f311,plain,
    ( spl0_30
    | ~ spl0_3
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f144,f309,f306,f187,f302]) ).

fof(f144,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | hskp0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f289,plain,
    ( ~ spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f61,f286,f282]) ).

fof(f61,axiom,
    ( c2_1(a500)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f263,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f92,f260,f256]) ).

fof(f92,axiom,
    ( ~ c0_1(a494)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f240,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f108,f237,f233]) ).

fof(f108,axiom,
    ( ~ c1_1(a476)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f231,plain,
    ( spl0_9
    | spl0_12
    | spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f133,f187,f229,f225,f211]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c3_1(X0)
      | c1_1(X0)
      | hskp20
      | hskp19
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f223,plain,
    ( ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f90,f220,f211]) ).

fof(f90,axiom,
    ( ~ c0_1(a502)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f218,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f59,f215,f211]) ).

fof(f59,axiom,
    ( c3_1(a502)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN448-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:58:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (24001)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (23993)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (23984)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (23985)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (24008)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (23988)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (23984)Refutation not found, incomplete strategy% (23984)------------------------------
% 0.19/0.51  % (23984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23994)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (24003)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52  % (24002)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (23995)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (24012)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53  % (23986)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (23984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23984)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (23984)Memory used [KB]: 6140
% 0.19/0.53  % (23984)Time elapsed: 0.105 s
% 0.19/0.53  % (23984)Instructions burned: 16 (million)
% 0.19/0.53  % (23984)------------------------------
% 0.19/0.53  % (23984)------------------------------
% 0.19/0.53  % (24005)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53  % (23997)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (24009)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (23983)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53  % (23987)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (23991)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (23990)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (23991)Instruction limit reached!
% 0.19/0.53  % (23991)------------------------------
% 0.19/0.53  % (23991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23991)Termination reason: Unknown
% 0.19/0.53  % (23991)Termination phase: Blocked clause elimination
% 0.19/0.53  
% 0.19/0.53  % (23991)Memory used [KB]: 1151
% 0.19/0.53  % (23991)Time elapsed: 0.003 s
% 0.19/0.53  % (23991)Instructions burned: 2 (million)
% 0.19/0.53  % (23991)------------------------------
% 0.19/0.53  % (23991)------------------------------
% 0.19/0.53  % (23990)Instruction limit reached!
% 0.19/0.53  % (23990)------------------------------
% 0.19/0.53  % (23990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (23990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23990)Termination reason: Unknown
% 0.19/0.53  % (23990)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (23990)Memory used [KB]: 6012
% 0.19/0.53  % (23990)Time elapsed: 0.136 s
% 0.19/0.53  % (23990)Instructions burned: 8 (million)
% 0.19/0.53  % (23990)------------------------------
% 0.19/0.53  % (23990)------------------------------
% 0.19/0.54  % (24006)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54  % (23989)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (24007)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  Detected maximum model sizes of [29]
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (23998)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54  % (24000)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (24010)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54  % (24011)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (23999)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (24004)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55  % (23992)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (23996)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  Detected maximum model sizes of [29]
% 0.19/0.55  TRYING [1]
% 0.19/0.56  TRYING [2]
% 0.19/0.56  % (23994)First to succeed.
% 0.19/0.56  % (23985)Instruction limit reached!
% 0.19/0.56  % (23985)------------------------------
% 0.19/0.56  % (23985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (23985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (23985)Termination reason: Unknown
% 0.19/0.56  % (23985)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (23985)Memory used [KB]: 1279
% 0.19/0.56  % (23985)Time elapsed: 0.151 s
% 0.19/0.56  % (23985)Instructions burned: 38 (million)
% 0.19/0.56  % (23985)------------------------------
% 0.19/0.56  % (23985)------------------------------
% 0.19/0.57  Detected maximum model sizes of [29]
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 0.19/0.57  TRYING [3]
% 0.19/0.57  TRYING [4]
% 0.19/0.57  TRYING [4]
% 0.19/0.57  % (24001)Also succeeded, but the first one will report.
% 0.19/0.57  % (23993)Also succeeded, but the first one will report.
% 0.50/0.58  % (23994)Refutation found. Thanks to Tanya!
% 0.50/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.50/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.50/0.58  % (23994)------------------------------
% 0.50/0.58  % (23994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.50/0.58  % (23994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.50/0.58  % (23994)Termination reason: Refutation
% 0.50/0.58  
% 0.50/0.58  % (23994)Memory used [KB]: 6652
% 0.50/0.58  % (23994)Time elapsed: 0.166 s
% 0.50/0.58  % (23994)Instructions burned: 37 (million)
% 0.50/0.58  % (23994)------------------------------
% 0.50/0.58  % (23994)------------------------------
% 0.50/0.58  % (23982)Success in time 0.223 s
%------------------------------------------------------------------------------