TSTP Solution File: SYN482-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN482-1 : 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 : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:51 EDT 2024

% Result   : Unsatisfiable 0.23s 0.43s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  231
% Syntax   : Number of formulae    :  639 (   1 unt;   0 def)
%            Number of atoms       : 2077 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2549 (1111   ~;1312   |;   0   &)
%                                         ( 126 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  155 ( 154 usr; 151 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  122 ( 122   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3106,plain,
    $false,
    inference(avatar_sat_refutation,[],[f239,f244,f259,f264,f269,f274,f284,f289,f304,f319,f339,f349,f359,f369,f374,f379,f384,f394,f399,f454,f459,f464,f474,f479,f484,f489,f499,f504,f509,f519,f524,f529,f534,f539,f549,f554,f559,f569,f579,f584,f619,f624,f629,f634,f639,f644,f649,f654,f664,f669,f674,f679,f709,f719,f729,f739,f744,f749,f754,f759,f764,f769,f774,f779,f784,f789,f799,f804,f809,f814,f819,f824,f827,f828,f829,f834,f842,f846,f855,f860,f868,f884,f888,f889,f894,f899,f903,f908,f920,f924,f925,f933,f934,f938,f957,f964,f970,f975,f977,f981,f982,f986,f988,f990,f992,f1012,f1043,f1054,f1063,f1069,f1097,f1368,f1476,f1490,f1510,f1545,f1564,f1569,f1595,f1609,f1626,f1629,f1636,f1677,f1841,f1906,f1925,f1951,f1954,f1955,f1965,f2012,f2133,f2155,f2158,f2177,f2266,f2269,f2327,f2360,f2386,f2419,f2466,f2520,f2530,f2609,f2620,f2654,f2656,f2663,f2731,f2753,f2791,f2805,f2826,f2856,f2905,f2920,f2927,f2928,f2933,f2952,f3043,f3067,f3101]) ).

fof(f3101,plain,
    ( spl0_58
    | ~ spl0_70
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3100]) ).

fof(f3100,plain,
    ( $false
    | spl0_58
    | ~ spl0_70
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3088,f488]) ).

fof(f488,plain,
    ( ~ c1_1(a1781)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f486,plain,
    ( spl0_58
  <=> c1_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3088,plain,
    ( c1_1(a1781)
    | ~ spl0_70
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f3080,f548]) ).

fof(f548,plain,
    ( c3_1(a1781)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl0_70
  <=> c3_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3080,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f932,f911]) ).

fof(f911,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f910,plain,
    ( spl0_144
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f932,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl0_149
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3067,plain,
    ( spl0_30
    | ~ spl0_37
    | ~ spl0_128
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3066]) ).

fof(f3066,plain,
    ( $false
    | spl0_30
    | ~ spl0_37
    | ~ spl0_128
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3055,f383]) ).

fof(f383,plain,
    ( c2_1(a1777)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl0_37
  <=> c2_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3055,plain,
    ( ~ c2_1(a1777)
    | spl0_30
    | ~ spl0_128
    | ~ spl0_147 ),
    inference(resolution,[],[f3050,f348]) ).

fof(f348,plain,
    ( ~ c3_1(a1777)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl0_30
  <=> c3_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f3050,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_128
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f923,f841]) ).

fof(f841,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f923,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f922,plain,
    ( spl0_147
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3043,plain,
    ( spl0_150
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f3042,f910,f906,f936]) ).

fof(f936,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f906,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3042,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(duplicate_literal_removal,[],[f3030]) ).

fof(f3030,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(resolution,[],[f911,f907]) ).

fof(f907,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f2952,plain,
    ( spl0_28
    | spl0_36
    | ~ spl0_130
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2945,f891,f848,f376,f336]) ).

fof(f336,plain,
    ( spl0_28
  <=> c2_1(a1827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f376,plain,
    ( spl0_36
  <=> c0_1(a1827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f848,plain,
    ( spl0_130
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f891,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2945,plain,
    ( c2_1(a1827)
    | spl0_36
    | ~ spl0_130
    | ~ spl0_140 ),
    inference(resolution,[],[f2932,f378]) ).

fof(f378,plain,
    ( ~ c0_1(a1827)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f2932,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f849,f892]) ).

fof(f892,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f849,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f2933,plain,
    ( spl0_51
    | ~ spl0_160
    | spl0_65
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2901,f891,f521,f1092,f451]) ).

fof(f451,plain,
    ( spl0_51
  <=> c2_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1092,plain,
    ( spl0_160
  <=> c3_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f521,plain,
    ( spl0_65
  <=> c0_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2901,plain,
    ( ~ c3_1(a1755)
    | c2_1(a1755)
    | spl0_65
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f523]) ).

fof(f523,plain,
    ( ~ c0_1(a1755)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f2928,plain,
    ( ~ spl0_39
    | ~ spl0_158
    | ~ spl0_40
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2811,f886,f396,f1029,f391]) ).

fof(f391,plain,
    ( spl0_39
  <=> c3_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1029,plain,
    ( spl0_158
  <=> c2_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f396,plain,
    ( spl0_40
  <=> c1_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f886,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2811,plain,
    ( ~ c2_1(a1783)
    | ~ c3_1(a1783)
    | ~ spl0_40
    | ~ spl0_139 ),
    inference(resolution,[],[f887,f398]) ).

fof(f398,plain,
    ( c1_1(a1783)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f2927,plain,
    ( spl0_158
    | ~ spl0_39
    | spl0_35
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2895,f891,f371,f391,f1029]) ).

fof(f371,plain,
    ( spl0_35
  <=> c0_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2895,plain,
    ( ~ c3_1(a1783)
    | c2_1(a1783)
    | spl0_35
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f373]) ).

fof(f373,plain,
    ( ~ c0_1(a1783)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f2920,plain,
    ( spl0_109
    | ~ spl0_114
    | ~ spl0_134
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2919]) ).

fof(f2919,plain,
    ( $false
    | spl0_109
    | ~ spl0_114
    | ~ spl0_134
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2913,f768]) ).

fof(f768,plain,
    ( c3_1(a1762)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f766,plain,
    ( spl0_114
  <=> c3_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2913,plain,
    ( ~ c3_1(a1762)
    | spl0_109
    | ~ spl0_134
    | ~ spl0_144 ),
    inference(resolution,[],[f2906,f743]) ).

fof(f743,plain,
    ( ~ c0_1(a1762)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl0_109
  <=> c0_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2906,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_134
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f911,f867]) ).

fof(f867,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f866,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2905,plain,
    ( ~ spl0_165
    | spl0_28
    | spl0_36
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2904,f891,f376,f336,f1601]) ).

fof(f1601,plain,
    ( spl0_165
  <=> c3_1(a1827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2904,plain,
    ( ~ c3_1(a1827)
    | spl0_28
    | spl0_36
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2902,f338]) ).

fof(f338,plain,
    ( ~ c2_1(a1827)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f2902,plain,
    ( ~ c3_1(a1827)
    | c2_1(a1827)
    | spl0_36
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f378]) ).

fof(f2856,plain,
    ( ~ spl0_89
    | ~ spl0_94
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2855]) ).

fof(f2855,plain,
    ( $false
    | ~ spl0_89
    | ~ spl0_94
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2850,f668]) ).

fof(f668,plain,
    ( c1_1(a1771)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_94
  <=> c1_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2850,plain,
    ( ~ c1_1(a1771)
    | ~ spl0_89
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(resolution,[],[f2830,f643]) ).

fof(f643,plain,
    ( c2_1(a1771)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f641,plain,
    ( spl0_89
  <=> c2_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2830,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f841,f887]) ).

fof(f2826,plain,
    ( ~ spl0_66
    | ~ spl0_71
    | ~ spl0_76
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2825]) ).

fof(f2825,plain,
    ( $false
    | ~ spl0_66
    | ~ spl0_71
    | ~ spl0_76
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2824,f553]) ).

fof(f553,plain,
    ( c3_1(a1805)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl0_71
  <=> c3_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2824,plain,
    ( ~ c3_1(a1805)
    | ~ spl0_66
    | ~ spl0_76
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2807,f528]) ).

fof(f528,plain,
    ( c2_1(a1805)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl0_66
  <=> c2_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2807,plain,
    ( ~ c2_1(a1805)
    | ~ c3_1(a1805)
    | ~ spl0_66
    | ~ spl0_76
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(resolution,[],[f887,f2672]) ).

fof(f2672,plain,
    ( c1_1(a1805)
    | ~ spl0_66
    | ~ spl0_76
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2664,f528]) ).

fof(f2664,plain,
    ( c1_1(a1805)
    | ~ c2_1(a1805)
    | ~ spl0_76
    | ~ spl0_143 ),
    inference(resolution,[],[f907,f578]) ).

fof(f578,plain,
    ( c0_1(a1805)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f576,plain,
    ( spl0_76
  <=> c0_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2805,plain,
    ( ~ spl0_90
    | spl0_86
    | ~ spl0_96
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2802,f906,f676,f626,f646]) ).

fof(f646,plain,
    ( spl0_90
  <=> c2_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f626,plain,
    ( spl0_86
  <=> c1_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f676,plain,
    ( spl0_96
  <=> c0_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2802,plain,
    ( ~ c2_1(a1765)
    | spl0_86
    | ~ spl0_96
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2801,f628]) ).

fof(f628,plain,
    ( ~ c1_1(a1765)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f2801,plain,
    ( c1_1(a1765)
    | ~ c2_1(a1765)
    | ~ spl0_96
    | ~ spl0_143 ),
    inference(resolution,[],[f678,f907]) ).

fof(f678,plain,
    ( c0_1(a1765)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f2791,plain,
    ( spl0_127
    | ~ spl0_130
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2789,f914,f848,f836]) ).

fof(f836,plain,
    ( spl0_127
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f914,plain,
    ( spl0_145
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2789,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_130
    | ~ spl0_145 ),
    inference(duplicate_literal_removal,[],[f2772]) ).

fof(f2772,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_145 ),
    inference(resolution,[],[f849,f915]) ).

fof(f915,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f2753,plain,
    ( ~ spl0_68
    | ~ spl0_77
    | ~ spl0_138
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2752]) ).

fof(f2752,plain,
    ( $false
    | ~ spl0_68
    | ~ spl0_77
    | ~ spl0_138
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2740,f538]) ).

fof(f538,plain,
    ( c2_1(a1795)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f536,plain,
    ( spl0_68
  <=> c2_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2740,plain,
    ( ~ c2_1(a1795)
    | ~ spl0_77
    | ~ spl0_138
    | ~ spl0_143 ),
    inference(resolution,[],[f2733,f583]) ).

fof(f583,plain,
    ( c0_1(a1795)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f581,plain,
    ( spl0_77
  <=> c0_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2733,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_138
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f883,f907]) ).

fof(f883,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2731,plain,
    ( ~ spl0_66
    | ~ spl0_71
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2730]) ).

fof(f2730,plain,
    ( $false
    | ~ spl0_66
    | ~ spl0_71
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2716,f553]) ).

fof(f2716,plain,
    ( ~ c3_1(a1805)
    | ~ spl0_66
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(resolution,[],[f2713,f528]) ).

fof(f2713,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f937,f887]) ).

fof(f937,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f2663,plain,
    ( ~ spl0_167
    | ~ spl0_113
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2662,f886,f776,f761,f1650]) ).

fof(f1650,plain,
    ( spl0_167
  <=> c2_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f761,plain,
    ( spl0_113
  <=> c3_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f776,plain,
    ( spl0_116
  <=> c1_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2662,plain,
    ( ~ c2_1(a1756)
    | ~ spl0_113
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2637,f763]) ).

fof(f763,plain,
    ( c3_1(a1756)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f2637,plain,
    ( ~ c2_1(a1756)
    | ~ c3_1(a1756)
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(resolution,[],[f887,f778]) ).

fof(f778,plain,
    ( c1_1(a1756)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f2656,plain,
    ( ~ spl0_169
    | ~ spl0_68
    | ~ spl0_72
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2655,f886,f556,f536,f1761]) ).

fof(f1761,plain,
    ( spl0_169
  <=> c3_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f556,plain,
    ( spl0_72
  <=> c1_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2655,plain,
    ( ~ c3_1(a1795)
    | ~ spl0_68
    | ~ spl0_72
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2636,f538]) ).

fof(f2636,plain,
    ( ~ c2_1(a1795)
    | ~ c3_1(a1795)
    | ~ spl0_72
    | ~ spl0_139 ),
    inference(resolution,[],[f887,f558]) ).

fof(f558,plain,
    ( c1_1(a1795)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f2654,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2653]) ).

fof(f2653,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2652,f273]) ).

fof(f273,plain,
    ( c3_1(a1823)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl0_15
  <=> c3_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2652,plain,
    ( ~ c3_1(a1823)
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2635,f268]) ).

fof(f268,plain,
    ( c2_1(a1823)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl0_14
  <=> c2_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2635,plain,
    ( ~ c2_1(a1823)
    | ~ c3_1(a1823)
    | ~ spl0_17
    | ~ spl0_139 ),
    inference(resolution,[],[f887,f283]) ).

fof(f283,plain,
    ( c1_1(a1823)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl0_17
  <=> c1_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2620,plain,
    ( spl0_57
    | spl0_64
    | ~ spl0_132
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2619]) ).

fof(f2619,plain,
    ( $false
    | spl0_57
    | spl0_64
    | ~ spl0_132
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2618,f483]) ).

fof(f483,plain,
    ( ~ c3_1(a1760)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_57
  <=> c3_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2618,plain,
    ( c3_1(a1760)
    | spl0_64
    | ~ spl0_132
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2617,f2176]) ).

fof(f2176,plain,
    ( c1_1(a1760)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2174]) ).

fof(f2174,plain,
    ( spl0_173
  <=> c1_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f2617,plain,
    ( ~ c1_1(a1760)
    | c3_1(a1760)
    | spl0_64
    | ~ spl0_132 ),
    inference(resolution,[],[f518,f859]) ).

fof(f859,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f858,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f518,plain,
    ( ~ c0_1(a1760)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f516,plain,
    ( spl0_64
  <=> c0_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2609,plain,
    ( spl0_106
    | ~ spl0_111
    | ~ spl0_117
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2608]) ).

fof(f2608,plain,
    ( $false
    | spl0_106
    | ~ spl0_111
    | ~ spl0_117
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2607,f783]) ).

fof(f783,plain,
    ( c1_1(a1758)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f781,plain,
    ( spl0_117
  <=> c1_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2607,plain,
    ( ~ c1_1(a1758)
    | spl0_106
    | ~ spl0_111
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2601,f728]) ).

fof(f728,plain,
    ( ~ c3_1(a1758)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl0_106
  <=> c3_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2601,plain,
    ( c3_1(a1758)
    | ~ c1_1(a1758)
    | ~ spl0_111
    | ~ spl0_128 ),
    inference(resolution,[],[f841,f753]) ).

fof(f753,plain,
    ( c2_1(a1758)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl0_111
  <=> c2_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2530,plain,
    ( spl0_65
    | ~ spl0_74
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2529]) ).

fof(f2529,plain,
    ( $false
    | spl0_65
    | ~ spl0_74
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2515,f568]) ).

fof(f568,plain,
    ( c1_1(a1755)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_74
  <=> c1_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2515,plain,
    ( ~ c1_1(a1755)
    | spl0_65
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(resolution,[],[f2501,f523]) ).

fof(f2501,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f845,f833]) ).

fof(f833,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f845,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2520,plain,
    ( spl0_35
    | ~ spl0_40
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2519]) ).

fof(f2519,plain,
    ( $false
    | spl0_35
    | ~ spl0_40
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2505,f398]) ).

fof(f2505,plain,
    ( ~ c1_1(a1783)
    | spl0_35
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(resolution,[],[f2501,f373]) ).

fof(f2466,plain,
    ( spl0_86
    | ~ spl0_96
    | ~ spl0_127
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2465]) ).

fof(f2465,plain,
    ( $false
    | spl0_86
    | ~ spl0_96
    | ~ spl0_127
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2457,f628]) ).

fof(f2457,plain,
    ( c1_1(a1765)
    | ~ spl0_96
    | ~ spl0_127
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(resolution,[],[f2441,f678]) ).

fof(f2441,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_127
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f932,f2283]) ).

fof(f2283,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_127
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f923,f837]) ).

fof(f837,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f2419,plain,
    ( spl0_30
    | spl0_34
    | ~ spl0_37
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2411,f874,f381,f366,f346]) ).

fof(f366,plain,
    ( spl0_34
  <=> c0_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f874,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2411,plain,
    ( c3_1(a1777)
    | spl0_34
    | ~ spl0_37
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2399,f383]) ).

fof(f2399,plain,
    ( ~ c2_1(a1777)
    | c3_1(a1777)
    | spl0_34
    | ~ spl0_136 ),
    inference(resolution,[],[f875,f368]) ).

fof(f368,plain,
    ( ~ c0_1(a1777)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f875,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f2386,plain,
    ( spl0_58
    | ~ spl0_67
    | ~ spl0_127
    | ~ spl0_147
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2385]) ).

fof(f2385,plain,
    ( $false
    | spl0_58
    | ~ spl0_67
    | ~ spl0_127
    | ~ spl0_147
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2376,f488]) ).

fof(f2376,plain,
    ( c1_1(a1781)
    | ~ spl0_67
    | ~ spl0_127
    | ~ spl0_147
    | ~ spl0_150 ),
    inference(resolution,[],[f2368,f533]) ).

fof(f533,plain,
    ( c2_1(a1781)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f531,plain,
    ( spl0_67
  <=> c2_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2368,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_127
    | ~ spl0_147
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f937,f2283]) ).

fof(f2360,plain,
    ( spl0_86
    | ~ spl0_96
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2359]) ).

fof(f2359,plain,
    ( $false
    | spl0_86
    | ~ spl0_96
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2350,f628]) ).

fof(f2350,plain,
    ( c1_1(a1765)
    | ~ spl0_96
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(resolution,[],[f2341,f678]) ).

fof(f2341,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f932,f915]) ).

fof(f2327,plain,
    ( ~ spl0_39
    | ~ spl0_40
    | ~ spl0_148
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2326]) ).

fof(f2326,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_148
    | spl0_158 ),
    inference(subsumption_resolution,[],[f2325,f398]) ).

fof(f2325,plain,
    ( ~ c1_1(a1783)
    | ~ spl0_39
    | ~ spl0_148
    | spl0_158 ),
    inference(subsumption_resolution,[],[f2312,f1030]) ).

fof(f1030,plain,
    ( ~ c2_1(a1783)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f2312,plain,
    ( c2_1(a1783)
    | ~ c1_1(a1783)
    | ~ spl0_39
    | ~ spl0_148 ),
    inference(resolution,[],[f928,f393]) ).

fof(f393,plain,
    ( c3_1(a1783)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f928,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f927,plain,
    ( spl0_148
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2269,plain,
    ( spl0_9
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | spl0_9
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2267,f263]) ).

fof(f263,plain,
    ( c2_1(a1788)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl0_13
  <=> c2_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2267,plain,
    ( ~ c2_1(a1788)
    | spl0_9
    | ~ spl0_21
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2255,f243]) ).

fof(f243,plain,
    ( ~ c3_1(a1788)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl0_9
  <=> c3_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2255,plain,
    ( c3_1(a1788)
    | ~ c2_1(a1788)
    | ~ spl0_21
    | ~ spl0_146 ),
    inference(resolution,[],[f919,f303]) ).

fof(f303,plain,
    ( c0_1(a1788)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f301,plain,
    ( spl0_21
  <=> c0_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f919,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f918,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2266,plain,
    ( spl0_169
    | ~ spl0_68
    | ~ spl0_77
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2265,f918,f581,f536,f1761]) ).

fof(f2265,plain,
    ( c3_1(a1795)
    | ~ spl0_68
    | ~ spl0_77
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2253,f538]) ).

fof(f2253,plain,
    ( c3_1(a1795)
    | ~ c2_1(a1795)
    | ~ spl0_77
    | ~ spl0_146 ),
    inference(resolution,[],[f919,f583]) ).

fof(f2177,plain,
    ( spl0_52
    | spl0_173
    | spl0_57
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1920,f836,f481,f2174,f456]) ).

fof(f456,plain,
    ( spl0_52
  <=> c2_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1920,plain,
    ( c1_1(a1760)
    | c2_1(a1760)
    | spl0_57
    | ~ spl0_127 ),
    inference(resolution,[],[f837,f483]) ).

fof(f2158,plain,
    ( spl0_108
    | spl0_110
    | ~ spl0_115
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2149,f910,f771,f746,f736]) ).

fof(f736,plain,
    ( spl0_108
  <=> c1_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f746,plain,
    ( spl0_110
  <=> c0_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f771,plain,
    ( spl0_115
  <=> c3_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2149,plain,
    ( c1_1(a1767)
    | spl0_110
    | ~ spl0_115
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2140,f773]) ).

fof(f773,plain,
    ( c3_1(a1767)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f2140,plain,
    ( ~ c3_1(a1767)
    | c1_1(a1767)
    | spl0_110
    | ~ spl0_144 ),
    inference(resolution,[],[f911,f748]) ).

fof(f748,plain,
    ( ~ c0_1(a1767)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f2155,plain,
    ( spl0_32
    | spl0_36
    | ~ spl0_144
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2152,f1601,f910,f376,f356]) ).

fof(f356,plain,
    ( spl0_32
  <=> c1_1(a1827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2152,plain,
    ( c1_1(a1827)
    | spl0_36
    | ~ spl0_144
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f2143,f1602]) ).

fof(f1602,plain,
    ( c3_1(a1827)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1601]) ).

fof(f2143,plain,
    ( ~ c3_1(a1827)
    | c1_1(a1827)
    | spl0_36
    | ~ spl0_144 ),
    inference(resolution,[],[f911,f378]) ).

fof(f2133,plain,
    ( spl0_32
    | spl0_36
    | ~ spl0_141
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2132]) ).

fof(f2132,plain,
    ( $false
    | spl0_32
    | spl0_36
    | ~ spl0_141
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2126,f358]) ).

fof(f358,plain,
    ( ~ c1_1(a1827)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f2126,plain,
    ( c1_1(a1827)
    | spl0_36
    | ~ spl0_141
    | ~ spl0_144 ),
    inference(resolution,[],[f2116,f378]) ).

fof(f2116,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_141
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f911,f898]) ).

fof(f898,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl0_141
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2012,plain,
    ( ~ spl0_113
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2011]) ).

fof(f2011,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2010,f763]) ).

fof(f2010,plain,
    ( ~ c3_1(a1756)
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1999,f803]) ).

fof(f803,plain,
    ( c0_1(a1756)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f801,plain,
    ( spl0_121
  <=> c0_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1999,plain,
    ( ~ c0_1(a1756)
    | ~ c3_1(a1756)
    | ~ spl0_116
    | ~ spl0_133 ),
    inference(resolution,[],[f863,f778]) ).

fof(f863,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1965,plain,
    ( spl0_53
    | spl0_56
    | spl0_61
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1964]) ).

fof(f1964,plain,
    ( $false
    | spl0_53
    | spl0_56
    | spl0_61
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1963,f463]) ).

fof(f463,plain,
    ( ~ c2_1(a1782)
    | spl0_53 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f461,plain,
    ( spl0_53
  <=> c2_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1963,plain,
    ( c2_1(a1782)
    | spl0_56
    | spl0_61
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1962,f503]) ).

fof(f503,plain,
    ( ~ c1_1(a1782)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl0_61
  <=> c1_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1962,plain,
    ( c1_1(a1782)
    | c2_1(a1782)
    | spl0_56
    | ~ spl0_127 ),
    inference(resolution,[],[f478,f837]) ).

fof(f478,plain,
    ( ~ c3_1(a1782)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_56
  <=> c3_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1955,plain,
    ( spl0_159
    | spl0_88
    | ~ spl0_94
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1942,f858,f666,f636,f1060]) ).

fof(f1060,plain,
    ( spl0_159
  <=> c3_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f636,plain,
    ( spl0_88
  <=> c0_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1942,plain,
    ( c3_1(a1771)
    | spl0_88
    | ~ spl0_94
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1932,f668]) ).

fof(f1932,plain,
    ( ~ c1_1(a1771)
    | c3_1(a1771)
    | spl0_88
    | ~ spl0_132 ),
    inference(resolution,[],[f859,f638]) ).

fof(f638,plain,
    ( ~ c0_1(a1771)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f1954,plain,
    ( spl0_124
    | ~ spl0_125
    | ~ spl0_132
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1948,f1606,f858,f821,f816]) ).

fof(f816,plain,
    ( spl0_124
  <=> c3_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f821,plain,
    ( spl0_125
  <=> c1_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1606,plain,
    ( spl0_166
  <=> c0_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1948,plain,
    ( c3_1(a1759)
    | ~ spl0_125
    | ~ spl0_132
    | spl0_166 ),
    inference(subsumption_resolution,[],[f1935,f823]) ).

fof(f823,plain,
    ( c1_1(a1759)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f1935,plain,
    ( ~ c1_1(a1759)
    | c3_1(a1759)
    | ~ spl0_132
    | spl0_166 ),
    inference(resolution,[],[f859,f1608]) ).

fof(f1608,plain,
    ( ~ c0_1(a1759)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f1951,plain,
    ( spl0_8
    | spl0_12
    | ~ spl0_18
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1945,f858,f286,f256,f236]) ).

fof(f236,plain,
    ( spl0_8
  <=> c3_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f256,plain,
    ( spl0_12
  <=> c0_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f286,plain,
    ( spl0_18
  <=> c1_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1945,plain,
    ( c3_1(a1770)
    | spl0_12
    | ~ spl0_18
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1933,f288]) ).

fof(f288,plain,
    ( c1_1(a1770)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1933,plain,
    ( ~ c1_1(a1770)
    | c3_1(a1770)
    | spl0_12
    | ~ spl0_132 ),
    inference(resolution,[],[f859,f258]) ).

fof(f258,plain,
    ( ~ c0_1(a1770)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f1925,plain,
    ( spl0_28
    | spl0_32
    | ~ spl0_127
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f1924]) ).

fof(f1924,plain,
    ( $false
    | spl0_28
    | spl0_32
    | ~ spl0_127
    | spl0_165 ),
    inference(subsumption_resolution,[],[f1923,f338]) ).

fof(f1923,plain,
    ( c2_1(a1827)
    | spl0_32
    | ~ spl0_127
    | spl0_165 ),
    inference(subsumption_resolution,[],[f1918,f358]) ).

fof(f1918,plain,
    ( c1_1(a1827)
    | c2_1(a1827)
    | ~ spl0_127
    | spl0_165 ),
    inference(resolution,[],[f837,f1603]) ).

fof(f1603,plain,
    ( ~ c3_1(a1827)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1601]) ).

fof(f1906,plain,
    ( spl0_167
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1905,f853,f801,f776,f1650]) ).

fof(f853,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1905,plain,
    ( c2_1(a1756)
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1904,f803]) ).

fof(f1904,plain,
    ( c2_1(a1756)
    | ~ c0_1(a1756)
    | ~ spl0_116
    | ~ spl0_131 ),
    inference(resolution,[],[f778,f854]) ).

fof(f854,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f1841,plain,
    ( spl0_35
    | ~ spl0_39
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1822,f891,f870,f391,f371]) ).

fof(f870,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1822,plain,
    ( c0_1(a1783)
    | ~ spl0_39
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(resolution,[],[f1816,f393]) ).

fof(f1816,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f892,f871]) ).

fof(f871,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f1677,plain,
    ( ~ spl0_77
    | ~ spl0_72
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1658,f882,f853,f556,f581]) ).

fof(f1658,plain,
    ( ~ c0_1(a1795)
    | ~ spl0_72
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(resolution,[],[f1654,f558]) ).

fof(f1654,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f883,f854]) ).

fof(f1636,plain,
    ( spl0_84
    | ~ spl0_91
    | ~ spl0_140
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f1635]) ).

fof(f1635,plain,
    ( $false
    | spl0_84
    | ~ spl0_91
    | ~ spl0_140
    | spl0_163 ),
    inference(subsumption_resolution,[],[f1634,f618]) ).

fof(f618,plain,
    ( ~ c2_1(a1780)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f616,plain,
    ( spl0_84
  <=> c2_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1634,plain,
    ( c2_1(a1780)
    | ~ spl0_91
    | ~ spl0_140
    | spl0_163 ),
    inference(subsumption_resolution,[],[f1632,f653]) ).

fof(f653,plain,
    ( c3_1(a1780)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f651,plain,
    ( spl0_91
  <=> c3_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1632,plain,
    ( ~ c3_1(a1780)
    | c2_1(a1780)
    | ~ spl0_140
    | spl0_163 ),
    inference(resolution,[],[f1568,f892]) ).

fof(f1568,plain,
    ( ~ c0_1(a1780)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1566]) ).

fof(f1566,plain,
    ( spl0_163
  <=> c0_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1629,plain,
    ( spl0_55
    | spl0_60
    | spl0_62
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | spl0_55
    | spl0_60
    | spl0_62
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1627,f498]) ).

fof(f498,plain,
    ( ~ c1_1(a1807)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl0_60
  <=> c1_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1627,plain,
    ( c1_1(a1807)
    | spl0_55
    | spl0_62
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1620,f473]) ).

fof(f473,plain,
    ( ~ c3_1(a1807)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl0_55
  <=> c3_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1620,plain,
    ( c3_1(a1807)
    | c1_1(a1807)
    | spl0_62
    | ~ spl0_141 ),
    inference(resolution,[],[f898,f508]) ).

fof(f508,plain,
    ( ~ c0_1(a1807)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f506,plain,
    ( spl0_62
  <=> c0_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1626,plain,
    ( spl0_165
    | spl0_32
    | spl0_36
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1625,f897,f376,f356,f1601]) ).

fof(f1625,plain,
    ( c3_1(a1827)
    | spl0_32
    | spl0_36
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1619,f358]) ).

fof(f1619,plain,
    ( c3_1(a1827)
    | c1_1(a1827)
    | spl0_36
    | ~ spl0_141 ),
    inference(resolution,[],[f898,f378]) ).

fof(f1609,plain,
    ( ~ spl0_166
    | spl0_123
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1528,f853,f821,f811,f1606]) ).

fof(f811,plain,
    ( spl0_123
  <=> c2_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1528,plain,
    ( c2_1(a1759)
    | ~ c0_1(a1759)
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(resolution,[],[f854,f823]) ).

fof(f1595,plain,
    ( spl0_28
    | spl0_32
    | spl0_36
    | ~ spl0_127
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1594]) ).

fof(f1594,plain,
    ( $false
    | spl0_28
    | spl0_32
    | spl0_36
    | ~ spl0_127
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1593,f338]) ).

fof(f1593,plain,
    ( c2_1(a1827)
    | spl0_28
    | spl0_32
    | spl0_36
    | ~ spl0_127
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1580,f358]) ).

fof(f1580,plain,
    ( c1_1(a1827)
    | c2_1(a1827)
    | spl0_28
    | spl0_36
    | ~ spl0_127
    | ~ spl0_140 ),
    inference(resolution,[],[f837,f1475]) ).

fof(f1475,plain,
    ( ~ c3_1(a1827)
    | spl0_28
    | spl0_36
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1467,f338]) ).

fof(f1467,plain,
    ( ~ c3_1(a1827)
    | c2_1(a1827)
    | spl0_36
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f378]) ).

fof(f1569,plain,
    ( ~ spl0_163
    | spl0_84
    | ~ spl0_95
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1526,f853,f671,f616,f1566]) ).

fof(f671,plain,
    ( spl0_95
  <=> c1_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1526,plain,
    ( c2_1(a1780)
    | ~ c0_1(a1780)
    | ~ spl0_95
    | ~ spl0_131 ),
    inference(resolution,[],[f854,f673]) ).

fof(f673,plain,
    ( c1_1(a1780)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f1564,plain,
    ( ~ spl0_113
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_131
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1563]) ).

fof(f1563,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_131
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1562,f763]) ).

fof(f1562,plain,
    ( ~ c3_1(a1756)
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_131
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1555,f1530]) ).

fof(f1530,plain,
    ( c2_1(a1756)
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1524,f803]) ).

fof(f1524,plain,
    ( c2_1(a1756)
    | ~ c0_1(a1756)
    | ~ spl0_116
    | ~ spl0_131 ),
    inference(resolution,[],[f854,f778]) ).

fof(f1555,plain,
    ( ~ c2_1(a1756)
    | ~ c3_1(a1756)
    | ~ spl0_116
    | ~ spl0_139 ),
    inference(resolution,[],[f887,f778]) ).

fof(f1545,plain,
    ( ~ spl0_116
    | ~ spl0_121
    | ~ spl0_126
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | ~ spl0_116
    | ~ spl0_121
    | ~ spl0_126
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1536,f1530]) ).

fof(f1536,plain,
    ( ~ c2_1(a1756)
    | ~ spl0_116
    | ~ spl0_126
    | ~ spl0_138 ),
    inference(resolution,[],[f1533,f778]) ).

fof(f1533,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f883,f833]) ).

fof(f1510,plain,
    ( spl0_88
    | ~ spl0_89
    | ~ spl0_94
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1509]) ).

fof(f1509,plain,
    ( $false
    | spl0_88
    | ~ spl0_89
    | ~ spl0_94
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1508,f668]) ).

fof(f1508,plain,
    ( ~ c1_1(a1771)
    | spl0_88
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1497,f638]) ).

fof(f1497,plain,
    ( c0_1(a1771)
    | ~ c1_1(a1771)
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(resolution,[],[f833,f643]) ).

fof(f1490,plain,
    ( ~ spl0_94
    | spl0_88
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1488,f866,f858,f636,f666]) ).

fof(f1488,plain,
    ( ~ c1_1(a1771)
    | spl0_88
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(resolution,[],[f638,f1055]) ).

fof(f1055,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f859,f867]) ).

fof(f1476,plain,
    ( spl0_85
    | spl0_87
    | ~ spl0_93
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1471,f891,f661,f631,f621]) ).

fof(f621,plain,
    ( spl0_85
  <=> c2_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f631,plain,
    ( spl0_87
  <=> c0_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f661,plain,
    ( spl0_93
  <=> c3_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1471,plain,
    ( c2_1(a1799)
    | spl0_87
    | ~ spl0_93
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1463,f663]) ).

fof(f663,plain,
    ( c3_1(a1799)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f1463,plain,
    ( ~ c3_1(a1799)
    | c2_1(a1799)
    | spl0_87
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f633]) ).

fof(f633,plain,
    ( ~ c0_1(a1799)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f1368,plain,
    ( spl0_109
    | ~ spl0_112
    | ~ spl0_114
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

fof(f1367,plain,
    ( $false
    | spl0_109
    | ~ spl0_112
    | ~ spl0_114
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1366,f768]) ).

fof(f1366,plain,
    ( ~ c3_1(a1762)
    | spl0_109
    | ~ spl0_112
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1363,f758]) ).

fof(f758,plain,
    ( c2_1(a1762)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f756,plain,
    ( spl0_112
  <=> c2_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1363,plain,
    ( ~ c2_1(a1762)
    | ~ c3_1(a1762)
    | spl0_109
    | ~ spl0_135 ),
    inference(resolution,[],[f871,f743]) ).

fof(f1097,plain,
    ( spl0_160
    | spl0_51
    | spl0_65
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1008,f848,f521,f451,f1092]) ).

fof(f1008,plain,
    ( c3_1(a1755)
    | spl0_51
    | spl0_65
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1004,f453]) ).

fof(f453,plain,
    ( ~ c2_1(a1755)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f1004,plain,
    ( c2_1(a1755)
    | c3_1(a1755)
    | spl0_65
    | ~ spl0_130 ),
    inference(resolution,[],[f849,f523]) ).

fof(f1069,plain,
    ( ~ spl0_37
    | spl0_34
    | ~ spl0_126
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1067,f901,f832,f366,f381]) ).

fof(f901,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1067,plain,
    ( ~ c2_1(a1777)
    | spl0_34
    | ~ spl0_126
    | ~ spl0_142 ),
    inference(resolution,[],[f368,f1013]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f902,f833]) ).

fof(f902,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f1063,plain,
    ( ~ spl0_94
    | ~ spl0_159
    | spl0_88
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1056,f866,f636,f1060,f666]) ).

fof(f1056,plain,
    ( ~ c3_1(a1771)
    | ~ c1_1(a1771)
    | spl0_88
    | ~ spl0_134 ),
    inference(resolution,[],[f638,f867]) ).

fof(f1054,plain,
    ( ~ spl0_40
    | spl0_35
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1050,f866,f391,f371,f396]) ).

fof(f1050,plain,
    ( ~ c1_1(a1783)
    | spl0_35
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1045,f393]) ).

fof(f1045,plain,
    ( ~ c3_1(a1783)
    | ~ c1_1(a1783)
    | spl0_35
    | ~ spl0_134 ),
    inference(resolution,[],[f867,f373]) ).

fof(f1043,plain,
    ( spl0_104
    | ~ spl0_118
    | ~ spl0_120
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1042,plain,
    ( $false
    | spl0_104
    | ~ spl0_118
    | ~ spl0_120
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1041,f798]) ).

fof(f798,plain,
    ( c0_1(a1757)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl0_120
  <=> c0_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1041,plain,
    ( ~ c0_1(a1757)
    | spl0_104
    | ~ spl0_118
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1038,f718]) ).

fof(f718,plain,
    ( ~ c2_1(a1757)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl0_104
  <=> c2_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1038,plain,
    ( c2_1(a1757)
    | ~ c0_1(a1757)
    | ~ spl0_118
    | ~ spl0_131 ),
    inference(resolution,[],[f854,f788]) ).

fof(f788,plain,
    ( c1_1(a1757)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl0_118
  <=> c1_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1012,plain,
    ( spl0_52
    | spl0_57
    | spl0_64
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1011]) ).

fof(f1011,plain,
    ( $false
    | spl0_52
    | spl0_57
    | spl0_64
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1010,f483]) ).

fof(f1010,plain,
    ( c3_1(a1760)
    | spl0_52
    | spl0_64
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1006,f458]) ).

fof(f458,plain,
    ( ~ c2_1(a1760)
    | spl0_52 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1006,plain,
    ( c2_1(a1760)
    | c3_1(a1760)
    | spl0_64
    | ~ spl0_130 ),
    inference(resolution,[],[f849,f518]) ).

fof(f992,plain,
    ( spl0_127
    | spl0_130
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f202,f886,f848,f836]) ).

fof(f202,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f990,plain,
    ( spl0_131
    | spl0_134
    | spl0_143
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f202,f906,f866,f853]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f988,plain,
    ( spl0_144
    | spl0_143
    | spl0_126
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f202,f832,f906,f910]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f986,plain,
    ( spl0_149
    | spl0_136
    | spl0_150
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f202,f936,f874,f931]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | c3_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f982,plain,
    ( spl0_127
    | spl0_140
    | spl0_102
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f202,f706,f891,f836]) ).

fof(f706,plain,
    ( spl0_102
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f981,plain,
    ( spl0_145
    | spl0_140
    | spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f202,f696,f891,f914]) ).

fof(f696,plain,
    ( spl0_100
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f977,plain,
    ( spl0_140
    | spl0_133
    | spl0_103
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f202,f711,f862,f891]) ).

fof(f711,plain,
    ( spl0_103
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f975,plain,
    ( spl0_145
    | spl0_146
    | spl0_102
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f202,f706,f918,f914]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f970,plain,
    ( spl0_132
    | spl0_140
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f202,f596,f891,f858]) ).

fof(f596,plain,
    ( spl0_80
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f964,plain,
    ( spl0_144
    | spl0_139
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f202,f586,f886,f910]) ).

fof(f586,plain,
    ( spl0_78
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f957,plain,
    ( spl0_131
    | spl0_132
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f202,f426,f858,f853]) ).

fof(f426,plain,
    ( spl0_46
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f938,plain,
    ( spl0_132
    | spl0_150
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f202,f416,f936,f858]) ).

fof(f416,plain,
    ( spl0_44
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f934,plain,
    ( spl0_148
    | spl0_147
    | spl0_48
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f202,f436,f922,f927]) ).

fof(f436,plain,
    ( spl0_48
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f933,plain,
    ( spl0_149
    | spl0_138
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f202,f411,f882,f931]) ).

fof(f411,plain,
    ( spl0_43
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f925,plain,
    ( spl0_134
    | spl0_139
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f202,f416,f886,f866]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f924,plain,
    ( spl0_147
    | spl0_139
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f202,f426,f886,f922]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f920,plain,
    ( spl0_140
    | spl0_146
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f202,f326,f918,f891]) ).

fof(f326,plain,
    ( spl0_26
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f908,plain,
    ( spl0_126
    | spl0_143
    | spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f202,f221,f906,f832]) ).

fof(f221,plain,
    ( spl0_5
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f903,plain,
    ( spl0_142
    | spl0_122
    | spl0_101
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f202,f701,f806,f901]) ).

fof(f806,plain,
    ( spl0_122
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f701,plain,
    ( spl0_101
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp4
      | ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f899,plain,
    ( spl0_141
    | spl0_98
    | spl0_102
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f202,f706,f686,f897]) ).

fof(f686,plain,
    ( spl0_98
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f132,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp27
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f894,plain,
    ( spl0_135
    | spl0_122
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f202,f586,f806,f870]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp4
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f889,plain,
    ( spl0_135
    | spl0_98
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f202,f606,f686,f870]) ).

fof(f606,plain,
    ( spl0_82
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp27
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f888,plain,
    ( spl0_139
    | spl0_82
    | spl0_81
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f202,f601,f606,f886]) ).

fof(f601,plain,
    ( spl0_81
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp22
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f884,plain,
    ( spl0_138
    | spl0_122
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f202,f431,f806,f882]) ).

fof(f431,plain,
    ( spl0_47
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp4
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f868,plain,
    ( spl0_134
    | spl0_42
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f202,f441,f406,f866]) ).

fof(f406,plain,
    ( spl0_42
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f441,plain,
    ( spl0_49
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp28
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f860,plain,
    ( spl0_132
    | spl0_101
    | spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f202,f321,f701,f858]) ).

fof(f321,plain,
    ( spl0_25
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp6
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f855,plain,
    ( spl0_131
    | spl0_80
    | spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f202,f321,f596,f853]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp13
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f846,plain,
    ( spl0_129
    | spl0_98
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f202,f216,f686,f844]) ).

fof(f216,plain,
    ( spl0_4
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp27
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f842,plain,
    ( spl0_128
    | spl0_47
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f202,f206,f431,f840]) ).

fof(f206,plain,
    ( spl0_2
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp29
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f834,plain,
    ( spl0_126
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f202,f596,f832]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f829,plain,
    ( spl0_122
    | spl0_49
    | spl0_42 ),
    inference(avatar_split_clause,[],[f32,f406,f441,f806]) ).

fof(f32,axiom,
    ( hskp28
    | hskp1
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f828,plain,
    ( spl0_122
    | spl0_102
    | spl0_24 ),
    inference(avatar_split_clause,[],[f34,f316,f706,f806]) ).

fof(f316,plain,
    ( spl0_24
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f34,axiom,
    ( hskp25
    | hskp2
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f827,plain,
    ( spl0_102
    | spl0_78
    | spl0_26 ),
    inference(avatar_split_clause,[],[f33,f326,f586,f706]) ).

fof(f33,axiom,
    ( hskp14
    | hskp8
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f824,plain,
    ( spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f78,f806,f821]) ).

fof(f78,axiom,
    ( ~ hskp4
    | c1_1(a1759) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f819,plain,
    ( ~ spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f124,f806,f816]) ).

fof(f124,axiom,
    ( ~ hskp4
    | ~ c3_1(a1759) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f814,plain,
    ( ~ spl0_123
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f123,f806,f811]) ).

fof(f123,axiom,
    ( ~ hskp4
    | ~ c2_1(a1759) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f809,plain,
    ( spl0_1
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f27,f806,f202]) ).

fof(f27,axiom,
    ( ~ hskp4
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f804,plain,
    ( spl0_121
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f47,f686,f801]) ).

fof(f47,axiom,
    ( ~ hskp27
    | c0_1(a1756) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f799,plain,
    ( spl0_120
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f81,f706,f796]) ).

fof(f81,axiom,
    ( ~ hskp2
    | c0_1(a1757) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f789,plain,
    ( spl0_118
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f82,f706,f786]) ).

fof(f82,axiom,
    ( ~ hskp2
    | c1_1(a1757) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f784,plain,
    ( spl0_117
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f79,f711,f781]) ).

fof(f79,axiom,
    ( ~ hskp3
    | c1_1(a1758) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f779,plain,
    ( spl0_116
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f48,f686,f776]) ).

fof(f48,axiom,
    ( ~ hskp27
    | c1_1(a1756) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f774,plain,
    ( spl0_115
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f70,f696,f771]) ).

fof(f70,axiom,
    ( ~ hskp10
    | c3_1(a1767) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f769,plain,
    ( spl0_114
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f77,f701,f766]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c3_1(a1762) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f764,plain,
    ( spl0_113
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f49,f686,f761]) ).

fof(f49,axiom,
    ( ~ hskp27
    | c3_1(a1756) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f759,plain,
    ( spl0_112
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f76,f701,f756]) ).

fof(f76,axiom,
    ( ~ hskp6
    | c2_1(a1762) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f754,plain,
    ( spl0_111
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f80,f711,f751]) ).

fof(f80,axiom,
    ( ~ hskp3
    | c2_1(a1758) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f749,plain,
    ( ~ spl0_110
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f113,f696,f746]) ).

fof(f113,axiom,
    ( ~ hskp10
    | ~ c0_1(a1767) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f744,plain,
    ( ~ spl0_109
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f119,f701,f741]) ).

fof(f119,axiom,
    ( ~ hskp6
    | ~ c0_1(a1762) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f739,plain,
    ( ~ spl0_108
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f114,f696,f736]) ).

fof(f114,axiom,
    ( ~ hskp10
    | ~ c1_1(a1767) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f729,plain,
    ( ~ spl0_106
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f125,f711,f726]) ).

fof(f125,axiom,
    ( ~ hskp3
    | ~ c3_1(a1758) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f719,plain,
    ( ~ spl0_104
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f126,f706,f716]) ).

fof(f126,axiom,
    ( ~ hskp2
    | ~ c2_1(a1757) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f709,plain,
    ( spl0_1
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f29,f706,f202]) ).

fof(f29,axiom,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f679,plain,
    ( spl0_96
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f72,f586,f676]) ).

fof(f72,axiom,
    ( ~ hskp8
    | c0_1(a1765) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f674,plain,
    ( spl0_95
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f61,f601,f671]) ).

fof(f61,axiom,
    ( ~ hskp16
    | c1_1(a1780) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f669,plain,
    ( spl0_94
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f65,f596,f666]) ).

fof(f65,axiom,
    ( ~ hskp13
    | c1_1(a1771) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f664,plain,
    ( spl0_93
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f52,f606,f661]) ).

fof(f52,axiom,
    ( ~ hskp22
    | c3_1(a1799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f654,plain,
    ( spl0_91
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f62,f601,f651]) ).

fof(f62,axiom,
    ( ~ hskp16
    | c3_1(a1780) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f649,plain,
    ( spl0_90
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f73,f586,f646]) ).

fof(f73,axiom,
    ( ~ hskp8
    | c2_1(a1765) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f644,plain,
    ( spl0_89
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f66,f596,f641]) ).

fof(f66,axiom,
    ( ~ hskp13
    | c2_1(a1771) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f639,plain,
    ( ~ spl0_88
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f109,f596,f636]) ).

fof(f109,axiom,
    ( ~ hskp13
    | ~ c0_1(a1771) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f634,plain,
    ( ~ spl0_87
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f95,f606,f631]) ).

fof(f95,axiom,
    ( ~ hskp22
    | ~ c0_1(a1799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f629,plain,
    ( ~ spl0_86
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f117,f586,f626]) ).

fof(f117,axiom,
    ( ~ hskp8
    | ~ c1_1(a1765) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f624,plain,
    ( ~ spl0_85
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f96,f606,f621]) ).

fof(f96,axiom,
    ( ~ hskp22
    | ~ c2_1(a1799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f619,plain,
    ( ~ spl0_84
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f104,f601,f616]) ).

fof(f104,axiom,
    ( ~ hskp16
    | ~ c2_1(a1780) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f584,plain,
    ( spl0_77
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f44,f406,f581]) ).

fof(f44,axiom,
    ( ~ hskp28
    | c0_1(a1795) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f579,plain,
    ( spl0_76
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f41,f431,f576]) ).

fof(f41,axiom,
    ( ~ hskp29
    | c0_1(a1805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f569,plain,
    ( spl0_74
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f83,f441,f566]) ).

fof(f83,axiom,
    ( ~ hskp1
    | c1_1(a1755) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f559,plain,
    ( spl0_72
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f45,f406,f556]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c1_1(a1795) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f554,plain,
    ( spl0_71
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f43,f431,f551]) ).

fof(f43,axiom,
    ( ~ hskp29
    | c3_1(a1805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f549,plain,
    ( spl0_70
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f60,f416,f546]) ).

fof(f60,axiom,
    ( ~ hskp17
    | c3_1(a1781) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f539,plain,
    ( spl0_68
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f46,f406,f536]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c2_1(a1795) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f534,plain,
    ( spl0_67
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f59,f416,f531]) ).

fof(f59,axiom,
    ( ~ hskp17
    | c2_1(a1781) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f529,plain,
    ( spl0_66
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f42,f431,f526]) ).

fof(f42,axiom,
    ( ~ hskp29
    | c2_1(a1805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f524,plain,
    ( ~ spl0_65
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f127,f441,f521]) ).

fof(f127,axiom,
    ( ~ hskp1
    | ~ c0_1(a1755) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f519,plain,
    ( ~ spl0_64
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f120,f411,f516]) ).

fof(f120,axiom,
    ( ~ hskp5
    | ~ c0_1(a1760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f509,plain,
    ( ~ spl0_62
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f92,f436,f506]) ).

fof(f92,axiom,
    ( ~ hskp23
    | ~ c0_1(a1807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f504,plain,
    ( ~ spl0_61
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f100,f426,f501]) ).

fof(f100,axiom,
    ( ~ hskp18
    | ~ c1_1(a1782) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f499,plain,
    ( ~ spl0_60
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f93,f436,f496]) ).

fof(f93,axiom,
    ( ~ hskp23
    | ~ c1_1(a1807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f489,plain,
    ( ~ spl0_58
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f103,f416,f486]) ).

fof(f103,axiom,
    ( ~ hskp17
    | ~ c1_1(a1781) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f484,plain,
    ( ~ spl0_57
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f122,f411,f481]) ).

fof(f122,axiom,
    ( ~ hskp5
    | ~ c3_1(a1760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f479,plain,
    ( ~ spl0_56
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f102,f426,f476]) ).

fof(f102,axiom,
    ( ~ hskp18
    | ~ c3_1(a1782) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f474,plain,
    ( ~ spl0_55
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f94,f436,f471]) ).

fof(f94,axiom,
    ( ~ hskp23
    | ~ c3_1(a1807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f464,plain,
    ( ~ spl0_53
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f101,f426,f461]) ).

fof(f101,axiom,
    ( ~ hskp18
    | ~ c2_1(a1782) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f459,plain,
    ( ~ spl0_52
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f121,f411,f456]) ).

fof(f121,axiom,
    ( ~ hskp5
    | ~ c2_1(a1760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f454,plain,
    ( ~ spl0_51
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f128,f441,f451]) ).

fof(f128,axiom,
    ( ~ hskp1
    | ~ c2_1(a1755) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f399,plain,
    ( spl0_40
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f57,f321,f396]) ).

fof(f57,axiom,
    ( ~ hskp19
    | c1_1(a1783) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f394,plain,
    ( spl0_39
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f58,f321,f391]) ).

fof(f58,axiom,
    ( ~ hskp19
    | c3_1(a1783) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f384,plain,
    ( spl0_37
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f64,f326,f381]) ).

fof(f64,axiom,
    ( ~ hskp14
    | c2_1(a1777) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f379,plain,
    ( ~ spl0_36
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f87,f316,f376]) ).

fof(f87,axiom,
    ( ~ hskp25
    | ~ c0_1(a1827) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f374,plain,
    ( ~ spl0_35
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f99,f321,f371]) ).

fof(f99,axiom,
    ( ~ hskp19
    | ~ c0_1(a1783) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f369,plain,
    ( ~ spl0_34
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f107,f326,f366]) ).

fof(f107,axiom,
    ( ~ hskp14
    | ~ c0_1(a1777) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f359,plain,
    ( ~ spl0_32
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f88,f316,f356]) ).

fof(f88,axiom,
    ( ~ hskp25
    | ~ c1_1(a1827) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f349,plain,
    ( ~ spl0_30
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f108,f326,f346]) ).

fof(f108,axiom,
    ( ~ hskp14
    | ~ c3_1(a1777) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f339,plain,
    ( ~ spl0_28
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f89,f316,f336]) ).

fof(f89,axiom,
    ( ~ hskp25
    | ~ c2_1(a1827) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f319,plain,
    ( spl0_1
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f6,f316,f202]) ).

fof(f6,axiom,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f304,plain,
    ( spl0_21
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f53,f221,f301]) ).

fof(f53,axiom,
    ( ~ hskp21
    | c0_1(a1788) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f289,plain,
    ( spl0_18
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f67,f216,f286]) ).

fof(f67,axiom,
    ( ~ hskp12
    | c1_1(a1770) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f284,plain,
    ( spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f38,f206,f281]) ).

fof(f38,axiom,
    ( ~ hskp30
    | c1_1(a1823) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f274,plain,
    ( spl0_15
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f40,f206,f271]) ).

fof(f40,axiom,
    ( ~ hskp30
    | c3_1(a1823) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f269,plain,
    ( spl0_14
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f39,f206,f266]) ).

fof(f39,axiom,
    ( ~ hskp30
    | c2_1(a1823) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f264,plain,
    ( spl0_13
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f54,f221,f261]) ).

fof(f54,axiom,
    ( ~ hskp21
    | c2_1(a1788) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f259,plain,
    ( ~ spl0_12
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f110,f216,f256]) ).

fof(f110,axiom,
    ( ~ hskp12
    | ~ c0_1(a1770) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f244,plain,
    ( ~ spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f97,f221,f241]) ).

fof(f97,axiom,
    ( ~ hskp21
    | ~ c3_1(a1788) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f239,plain,
    ( ~ spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f111,f216,f236]) ).

fof(f111,axiom,
    ( ~ hskp12
    | ~ c3_1(a1770) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN482-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:26:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (25114)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (25115)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (25116)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (25117)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)
% 0.14/0.38  % (25119)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (25120)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (25121)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)
% 0.14/0.38  % (25118)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [31]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [31]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [31]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [31]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.23/0.42  TRYING [5]
% 0.23/0.42  TRYING [5]
% 0.23/0.42  TRYING [5]
% 0.23/0.42  % (25120)First to succeed.
% 0.23/0.42  TRYING [5]
% 0.23/0.43  % (25120)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25114"
% 0.23/0.43  % (25120)Refutation found. Thanks to Tanya!
% 0.23/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.43  % (25120)------------------------------
% 0.23/0.43  % (25120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.43  % (25120)Termination reason: Refutation
% 0.23/0.43  
% 0.23/0.43  % (25120)Memory used [KB]: 1776
% 0.23/0.43  % (25120)Time elapsed: 0.044 s
% 0.23/0.43  % (25120)Instructions burned: 71 (million)
% 0.23/0.43  % (25114)Success in time 0.065 s
%------------------------------------------------------------------------------