TSTP Solution File: SYN448-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN448-1 : 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 : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:29 EDT 2024

% Result   : Unsatisfiable 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  207
% Syntax   : Number of formulae    :  573 (   1 unt;   0 def)
%            Number of atoms       : 1922 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2360 (1011   ~;1236   |;   0   &)
%                                         ( 113 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  140 ( 139 usr; 136 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :  127 ( 127   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2948,plain,
    $false,
    inference(avatar_sat_refutation,[],[f215,f225,f235,f240,f245,f260,f265,f285,f300,f335,f345,f350,f360,f370,f375,f380,f385,f395,f405,f410,f415,f420,f435,f455,f465,f470,f475,f485,f490,f495,f500,f505,f510,f515,f520,f525,f535,f560,f580,f585,f595,f600,f605,f615,f620,f625,f630,f635,f640,f650,f665,f680,f700,f710,f715,f725,f730,f740,f745,f750,f755,f760,f763,f764,f765,f768,f772,f776,f780,f784,f792,f800,f801,f811,f815,f819,f836,f850,f851,f853,f857,f861,f865,f877,f881,f888,f896,f900,f901,f902,f903,f904,f905,f910,f923,f929,f946,f985,f987,f988,f1027,f1032,f1051,f1087,f1172,f1201,f1212,f1307,f1309,f1314,f1433,f1445,f1496,f1571,f1624,f1709,f1724,f1869,f1902,f1991,f2071,f2110,f2149,f2177,f2222,f2284,f2308,f2343,f2348,f2437,f2458,f2509,f2571,f2600,f2703,f2772,f2804,f2805,f2807,f2855,f2881,f2883,f2887,f2910,f2939,f2947]) ).

fof(f2947,plain,
    ( spl0_64
    | spl0_67
    | ~ spl0_123
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2946]) ).

fof(f2946,plain,
    ( $false
    | spl0_64
    | spl0_67
    | ~ spl0_123
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2945,f494]) ).

fof(f494,plain,
    ( ~ c1_1(a494)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f492,plain,
    ( spl0_64
  <=> c1_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2945,plain,
    ( c1_1(a494)
    | spl0_67
    | ~ spl0_123
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2932,f509]) ).

fof(f509,plain,
    ( ~ c0_1(a494)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl0_67
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2932,plain,
    ( c0_1(a494)
    | c1_1(a494)
    | ~ spl0_123
    | ~ spl0_158 ),
    inference(resolution,[],[f791,f1761]) ).

fof(f1761,plain,
    ( c2_1(a494)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f1760,plain,
    ( spl0_158
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f791,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2939,plain,
    ( spl0_14
    | ~ spl0_17
    | ~ spl0_123
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2938]) ).

fof(f2938,plain,
    ( $false
    | spl0_14
    | ~ spl0_17
    | ~ spl0_123
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2937,f1390]) ).

fof(f1390,plain,
    ( ~ c1_1(a502)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1389]) ).

fof(f1389,plain,
    ( spl0_154
  <=> c1_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2937,plain,
    ( c1_1(a502)
    | spl0_14
    | ~ spl0_17
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f2925,f244]) ).

fof(f244,plain,
    ( ~ c0_1(a502)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_14
  <=> c0_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2925,plain,
    ( c0_1(a502)
    | c1_1(a502)
    | ~ spl0_17
    | ~ spl0_123 ),
    inference(resolution,[],[f791,f259]) ).

fof(f259,plain,
    ( c2_1(a502)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_17
  <=> c2_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2910,plain,
    ( spl0_82
    | ~ spl0_101
    | ~ spl0_119
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2909]) ).

fof(f2909,plain,
    ( $false
    | spl0_82
    | ~ spl0_101
    | ~ spl0_119
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2908,f679]) ).

fof(f679,plain,
    ( c0_1(a460)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl0_101
  <=> c0_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2908,plain,
    ( ~ c0_1(a460)
    | spl0_82
    | ~ spl0_119
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2903,f2526]) ).

fof(f2526,plain,
    ( c1_1(a460)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f2524]) ).

fof(f2524,plain,
    ( spl0_164
  <=> c1_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2903,plain,
    ( ~ c1_1(a460)
    | ~ c0_1(a460)
    | spl0_82
    | ~ spl0_119 ),
    inference(resolution,[],[f775,f584]) ).

fof(f584,plain,
    ( ~ c2_1(a460)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f582,plain,
    ( spl0_82
  <=> c2_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f775,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f774,plain,
    ( spl0_119
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2887,plain,
    ( ~ spl0_165
    | ~ spl0_108
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2874,f879,f871,f859,f712,f2529]) ).

fof(f2529,plain,
    ( spl0_165
  <=> c3_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f712,plain,
    ( spl0_108
  <=> c2_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f859,plain,
    ( spl0_139
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f871,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f879,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2874,plain,
    ( ~ c3_1(a476)
    | ~ spl0_108
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(resolution,[],[f2856,f714]) ).

fof(f714,plain,
    ( c2_1(a476)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f2856,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f872,f2673]) ).

fof(f2673,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f880,f860]) ).

fof(f860,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f880,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f872,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f2883,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2882]) ).

fof(f2882,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2870,f264]) ).

fof(f264,plain,
    ( c3_1(a502)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl0_18
  <=> c3_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2870,plain,
    ( ~ c3_1(a502)
    | ~ spl0_17
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(resolution,[],[f2856,f259]) ).

fof(f2881,plain,
    ( ~ spl0_92
    | ~ spl0_93
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2880]) ).

fof(f2880,plain,
    ( $false
    | ~ spl0_92
    | ~ spl0_93
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2869,f639]) ).

fof(f639,plain,
    ( c3_1(a503)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f637,plain,
    ( spl0_93
  <=> c3_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2869,plain,
    ( ~ c3_1(a503)
    | ~ spl0_92
    | ~ spl0_139
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(resolution,[],[f2856,f634]) ).

fof(f634,plain,
    ( c2_1(a503)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f632,plain,
    ( spl0_92
  <=> c2_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2855,plain,
    ( spl0_67
    | ~ spl0_123
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2854]) ).

fof(f2854,plain,
    ( $false
    | spl0_67
    | ~ spl0_123
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2853,f509]) ).

fof(f2853,plain,
    ( c0_1(a494)
    | ~ spl0_123
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_158 ),
    inference(resolution,[],[f1761,f2723]) ).

fof(f2723,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_123
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f791,f2674]) ).

fof(f2674,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f864,f860]) ).

fof(f864,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f863,plain,
    ( spl0_140
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2807,plain,
    ( spl0_158
    | spl0_58
    | spl0_64
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2794,f809,f492,f462,f1760]) ).

fof(f462,plain,
    ( spl0_58
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f809,plain,
    ( spl0_127
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2794,plain,
    ( c2_1(a494)
    | spl0_58
    | spl0_64
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2779,f494]) ).

fof(f2779,plain,
    ( c1_1(a494)
    | c2_1(a494)
    | spl0_58
    | ~ spl0_127 ),
    inference(resolution,[],[f810,f464]) ).

fof(f464,plain,
    ( ~ c3_1(a494)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f810,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f2805,plain,
    ( spl0_56
    | spl0_59
    | spl0_65
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2797,f809,f497,f467,f452]) ).

fof(f452,plain,
    ( spl0_56
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f467,plain,
    ( spl0_59
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f497,plain,
    ( spl0_65
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2797,plain,
    ( c2_1(a488)
    | spl0_59
    | spl0_65
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2780,f499]) ).

fof(f499,plain,
    ( ~ c1_1(a488)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f2780,plain,
    ( c1_1(a488)
    | c2_1(a488)
    | spl0_59
    | ~ spl0_127 ),
    inference(resolution,[],[f810,f469]) ).

fof(f469,plain,
    ( ~ c3_1(a488)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f2804,plain,
    ( ~ spl0_25
    | spl0_10
    | spl0_13
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2803,f778,f237,f222,f297]) ).

fof(f297,plain,
    ( spl0_25
  <=> c0_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f222,plain,
    ( spl0_10
  <=> c3_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f237,plain,
    ( spl0_13
  <=> c1_1(a533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f778,plain,
    ( spl0_120
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2803,plain,
    ( ~ c0_1(a533)
    | spl0_10
    | spl0_13
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f2692,f239]) ).

fof(f239,plain,
    ( ~ c1_1(a533)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f2692,plain,
    ( c1_1(a533)
    | ~ c0_1(a533)
    | spl0_10
    | ~ spl0_120 ),
    inference(resolution,[],[f779,f224]) ).

fof(f224,plain,
    ( ~ c3_1(a533)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f779,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f2772,plain,
    ( spl0_107
    | ~ spl0_113
    | ~ spl0_120
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2771,plain,
    ( $false
    | spl0_107
    | ~ spl0_113
    | ~ spl0_120
    | spl0_165 ),
    inference(subsumption_resolution,[],[f2770,f739]) ).

fof(f739,plain,
    ( c0_1(a476)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f737,plain,
    ( spl0_113
  <=> c0_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2770,plain,
    ( ~ c0_1(a476)
    | spl0_107
    | ~ spl0_120
    | spl0_165 ),
    inference(subsumption_resolution,[],[f2766,f709]) ).

fof(f709,plain,
    ( ~ c1_1(a476)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f707,plain,
    ( spl0_107
  <=> c1_1(a476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2766,plain,
    ( c1_1(a476)
    | ~ c0_1(a476)
    | ~ spl0_120
    | spl0_165 ),
    inference(resolution,[],[f2531,f779]) ).

fof(f2531,plain,
    ( ~ c3_1(a476)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f2529]) ).

fof(f2703,plain,
    ( spl0_164
    | spl0_86
    | ~ spl0_101
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2702,f778,f677,f602,f2524]) ).

fof(f602,plain,
    ( spl0_86
  <=> c3_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2702,plain,
    ( c1_1(a460)
    | spl0_86
    | ~ spl0_101
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f2698,f679]) ).

fof(f2698,plain,
    ( c1_1(a460)
    | ~ c0_1(a460)
    | spl0_86
    | ~ spl0_120 ),
    inference(resolution,[],[f779,f604]) ).

fof(f604,plain,
    ( ~ c3_1(a460)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f2600,plain,
    ( spl0_81
    | spl0_85
    | ~ spl0_124
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2599]) ).

fof(f2599,plain,
    ( $false
    | spl0_81
    | spl0_85
    | ~ spl0_124
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2591,f579]) ).

fof(f579,plain,
    ( ~ c2_1(a465)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl0_81
  <=> c2_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2591,plain,
    ( c2_1(a465)
    | spl0_85
    | ~ spl0_124
    | ~ spl0_127 ),
    inference(resolution,[],[f2536,f599]) ).

fof(f599,plain,
    ( ~ c3_1(a465)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f597,plain,
    ( spl0_85
  <=> c3_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2536,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_124
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f810,f795]) ).

fof(f795,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f794,plain,
    ( spl0_124
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2571,plain,
    ( ~ spl0_70
    | ~ spl0_72
    | ~ spl0_129
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2570]) ).

fof(f2570,plain,
    ( $false
    | ~ spl0_70
    | ~ spl0_72
    | ~ spl0_129
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2563,f524]) ).

fof(f524,plain,
    ( c3_1(a468)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl0_70
  <=> c3_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2563,plain,
    ( ~ c3_1(a468)
    | ~ spl0_72
    | ~ spl0_129
    | ~ spl0_143 ),
    inference(resolution,[],[f2535,f534]) ).

fof(f534,plain,
    ( c0_1(a468)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f532,plain,
    ( spl0_72
  <=> c0_1(a468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2535,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_129
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f880,f818]) ).

fof(f818,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f817,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2509,plain,
    ( spl0_85
    | spl0_90
    | ~ spl0_134
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2508]) ).

fof(f2508,plain,
    ( $false
    | spl0_85
    | spl0_90
    | ~ spl0_134
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2507,f624]) ).

fof(f624,plain,
    ( ~ c0_1(a465)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f622,plain,
    ( spl0_90
  <=> c0_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2507,plain,
    ( c0_1(a465)
    | spl0_85
    | ~ spl0_134
    | ~ spl0_140 ),
    inference(resolution,[],[f2501,f599]) ).

fof(f2501,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_134
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f864,f839]) ).

fof(f839,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f838,plain,
    ( spl0_134
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2458,plain,
    ( spl0_14
    | ~ spl0_17
    | ~ spl0_126
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2457]) ).

fof(f2457,plain,
    ( $false
    | spl0_14
    | ~ spl0_17
    | ~ spl0_126
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2456,f1391]) ).

fof(f1391,plain,
    ( c1_1(a502)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1389]) ).

fof(f2456,plain,
    ( ~ c1_1(a502)
    | spl0_14
    | ~ spl0_17
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2445,f244]) ).

fof(f2445,plain,
    ( c0_1(a502)
    | ~ c1_1(a502)
    | ~ spl0_17
    | ~ spl0_126 ),
    inference(resolution,[],[f805,f259]) ).

fof(f805,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f804,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2437,plain,
    ( spl0_107
    | ~ spl0_108
    | ~ spl0_113
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2436]) ).

fof(f2436,plain,
    ( $false
    | spl0_107
    | ~ spl0_108
    | ~ spl0_113
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2435,f739]) ).

fof(f2435,plain,
    ( ~ c0_1(a476)
    | spl0_107
    | ~ spl0_108
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2429,f709]) ).

fof(f2429,plain,
    ( c1_1(a476)
    | ~ c0_1(a476)
    | ~ spl0_108
    | ~ spl0_138 ),
    inference(resolution,[],[f856,f714]) ).

fof(f856,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f855,plain,
    ( spl0_138
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2348,plain,
    ( spl0_64
    | spl0_67
    | ~ spl0_121
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2347]) ).

fof(f2347,plain,
    ( $false
    | spl0_64
    | spl0_67
    | ~ spl0_121
    | spl0_158 ),
    inference(subsumption_resolution,[],[f2346,f494]) ).

fof(f2346,plain,
    ( c1_1(a494)
    | spl0_67
    | ~ spl0_121
    | spl0_158 ),
    inference(subsumption_resolution,[],[f2345,f509]) ).

fof(f2345,plain,
    ( c0_1(a494)
    | c1_1(a494)
    | ~ spl0_121
    | spl0_158 ),
    inference(resolution,[],[f1762,f783]) ).

fof(f783,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f782,plain,
    ( spl0_121
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1762,plain,
    ( ~ c2_1(a494)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f2343,plain,
    ( ~ spl0_158
    | spl0_58
    | spl0_67
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2342,f813,f507,f462,f1760]) ).

fof(f813,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2342,plain,
    ( ~ c2_1(a494)
    | spl0_58
    | spl0_67
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2340,f509]) ).

fof(f2340,plain,
    ( c0_1(a494)
    | ~ c2_1(a494)
    | spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f814,f464]) ).

fof(f814,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f2308,plain,
    ( spl0_113
    | spl0_107
    | ~ spl0_108
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2307,f790,f712,f707,f737]) ).

fof(f2307,plain,
    ( c0_1(a476)
    | spl0_107
    | ~ spl0_108
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f2306,f709]) ).

fof(f2306,plain,
    ( c0_1(a476)
    | c1_1(a476)
    | ~ spl0_108
    | ~ spl0_123 ),
    inference(resolution,[],[f714,f791]) ).

fof(f2284,plain,
    ( spl0_88
    | ~ spl0_92
    | ~ spl0_123
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2283]) ).

fof(f2283,plain,
    ( $false
    | spl0_88
    | ~ spl0_92
    | ~ spl0_123
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2273,f614]) ).

fof(f614,plain,
    ( ~ c1_1(a503)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f612,plain,
    ( spl0_88
  <=> c1_1(a503) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2273,plain,
    ( c1_1(a503)
    | ~ spl0_92
    | ~ spl0_123
    | ~ spl0_138 ),
    inference(resolution,[],[f2265,f634]) ).

fof(f2265,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_123
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f856,f791]) ).

fof(f2222,plain,
    ( spl0_12
    | spl0_8
    | ~ spl0_22
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2221,f798,f282,f212,f232]) ).

fof(f232,plain,
    ( spl0_12
  <=> c1_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f212,plain,
    ( spl0_8
  <=> c2_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f282,plain,
    ( spl0_22
  <=> c0_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f798,plain,
    ( spl0_125
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2221,plain,
    ( c1_1(a540)
    | spl0_8
    | ~ spl0_22
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2197,f214]) ).

fof(f214,plain,
    ( ~ c2_1(a540)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f2197,plain,
    ( c1_1(a540)
    | c2_1(a540)
    | ~ spl0_22
    | ~ spl0_125 ),
    inference(resolution,[],[f799,f284]) ).

fof(f284,plain,
    ( c0_1(a540)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f799,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f2177,plain,
    ( spl0_35
    | spl0_32
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2176,f790,f372,f332,f347]) ).

fof(f347,plain,
    ( spl0_35
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f332,plain,
    ( spl0_32
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f372,plain,
    ( spl0_40
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2176,plain,
    ( c0_1(a463)
    | spl0_32
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f2168,f334]) ).

fof(f334,plain,
    ( ~ c1_1(a463)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f2168,plain,
    ( c0_1(a463)
    | c1_1(a463)
    | ~ spl0_40
    | ~ spl0_123 ),
    inference(resolution,[],[f791,f374]) ).

fof(f374,plain,
    ( c2_1(a463)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f2149,plain,
    ( ~ spl0_108
    | ~ spl0_113
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2148]) ).

fof(f2148,plain,
    ( $false
    | ~ spl0_108
    | ~ spl0_113
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2143,f739]) ).

fof(f2143,plain,
    ( ~ c0_1(a476)
    | ~ spl0_108
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(resolution,[],[f2114,f714]) ).

fof(f2114,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f856,f849]) ).

fof(f849,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2110,plain,
    ( spl0_88
    | ~ spl0_118
    | ~ spl0_121
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_127
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2103]) ).

fof(f2103,plain,
    ( $false
    | spl0_88
    | ~ spl0_118
    | ~ spl0_121
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_127
    | ~ spl0_133 ),
    inference(resolution,[],[f1896,f614]) ).

fof(f1896,plain,
    ( ! [X0] : c1_1(X0)
    | ~ spl0_118
    | ~ spl0_121
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_127
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1895,f994]) ).

fof(f994,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_118
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f810,f771]) ).

fof(f771,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_118
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1895,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_121
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1881,f1820]) ).

fof(f1820,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_121
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f791,f783]) ).

fof(f1881,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_121
    | ~ spl0_125
    | ~ spl0_133 ),
    inference(resolution,[],[f835,f1848]) ).

fof(f1848,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_121
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f799,f783]) ).

fof(f835,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2071,plain,
    ( ~ spl0_110
    | ~ spl0_111
    | ~ spl0_143
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2070]) ).

fof(f2070,plain,
    ( $false
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_143
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2069,f729]) ).

fof(f729,plain,
    ( c1_1(a492)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl0_111
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2069,plain,
    ( ~ c1_1(a492)
    | ~ spl0_110
    | ~ spl0_143
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2050,f724]) ).

fof(f724,plain,
    ( c3_1(a492)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl0_110
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2050,plain,
    ( ~ c3_1(a492)
    | ~ c1_1(a492)
    | ~ spl0_143
    | ~ spl0_149 ),
    inference(resolution,[],[f880,f934]) ).

fof(f934,plain,
    ( c0_1(a492)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f932,plain,
    ( spl0_149
  <=> c0_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1991,plain,
    ( spl0_82
    | spl0_86
    | ~ spl0_101
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1990]) ).

fof(f1990,plain,
    ( $false
    | spl0_82
    | spl0_86
    | ~ spl0_101
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1989,f584]) ).

fof(f1989,plain,
    ( c2_1(a460)
    | spl0_86
    | ~ spl0_101
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1983,f679]) ).

fof(f1983,plain,
    ( ~ c0_1(a460)
    | c2_1(a460)
    | spl0_86
    | ~ spl0_136 ),
    inference(resolution,[],[f846,f604]) ).

fof(f846,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_136
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1902,plain,
    ( ~ spl0_41
    | ~ spl0_42
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1901]) ).

fof(f1901,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_42
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1900,f384]) ).

fof(f384,plain,
    ( c3_1(a461)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl0_42
  <=> c3_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1900,plain,
    ( ~ c3_1(a461)
    | ~ spl0_41
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1885,f419]) ).

fof(f419,plain,
    ( c0_1(a461)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f417,plain,
    ( spl0_49
  <=> c0_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1885,plain,
    ( ~ c0_1(a461)
    | ~ c3_1(a461)
    | ~ spl0_41
    | ~ spl0_133 ),
    inference(resolution,[],[f835,f379]) ).

fof(f379,plain,
    ( c2_1(a461)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_41
  <=> c2_1(a461) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1869,plain,
    ( spl0_56
    | spl0_65
    | ~ spl0_121
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1868]) ).

fof(f1868,plain,
    ( $false
    | spl0_56
    | spl0_65
    | ~ spl0_121
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1859,f499]) ).

fof(f1859,plain,
    ( c1_1(a488)
    | spl0_56
    | ~ spl0_121
    | ~ spl0_125 ),
    inference(resolution,[],[f1848,f454]) ).

fof(f454,plain,
    ( ~ c2_1(a488)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f1724,plain,
    ( spl0_121
    | ~ spl0_118
    | ~ spl0_127
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1711,f894,f809,f770,f782]) ).

fof(f894,plain,
    ( spl0_146
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1711,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_118
    | ~ spl0_127
    | ~ spl0_146 ),
    inference(resolution,[],[f895,f994]) ).

fof(f895,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f1709,plain,
    ( spl0_81
    | spl0_85
    | spl0_90
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1708,plain,
    ( $false
    | spl0_81
    | spl0_85
    | spl0_90
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1707,f579]) ).

fof(f1707,plain,
    ( c2_1(a465)
    | spl0_85
    | spl0_90
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1690,f624]) ).

fof(f1690,plain,
    ( c0_1(a465)
    | c2_1(a465)
    | spl0_85
    | ~ spl0_144 ),
    inference(resolution,[],[f885,f599]) ).

fof(f885,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f884,plain,
    ( spl0_144
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1624,plain,
    ( spl0_107
    | ~ spl0_108
    | ~ spl0_118
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1623]) ).

fof(f1623,plain,
    ( $false
    | spl0_107
    | ~ spl0_108
    | ~ spl0_118
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1618,f709]) ).

fof(f1618,plain,
    ( c1_1(a476)
    | ~ spl0_108
    | ~ spl0_118
    | ~ spl0_142 ),
    inference(resolution,[],[f1597,f714]) ).

fof(f1597,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_118
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f872,f771]) ).

fof(f1571,plain,
    ( ~ spl0_108
    | ~ spl0_113
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1560,f834,f786,f737,f712]) ).

fof(f786,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1560,plain,
    ( ~ c2_1(a476)
    | ~ spl0_113
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(resolution,[],[f1554,f739]) ).

fof(f1554,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f835,f787]) ).

fof(f787,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f1496,plain,
    ( spl0_82
    | spl0_86
    | ~ spl0_101
    | ~ spl0_118
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1495,plain,
    ( $false
    | spl0_82
    | spl0_86
    | ~ spl0_101
    | ~ spl0_118
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1494,f679]) ).

fof(f1494,plain,
    ( ~ c0_1(a460)
    | spl0_82
    | spl0_86
    | ~ spl0_118
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1486,f1008]) ).

fof(f1008,plain,
    ( c1_1(a460)
    | spl0_86
    | ~ spl0_118
    | ~ spl0_127 ),
    inference(resolution,[],[f994,f604]) ).

fof(f1486,plain,
    ( ~ c1_1(a460)
    | ~ c0_1(a460)
    | spl0_82
    | ~ spl0_119 ),
    inference(resolution,[],[f775,f584]) ).

fof(f1445,plain,
    ( spl0_13
    | spl0_10
    | ~ spl0_118
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1443,f809,f770,f222,f237]) ).

fof(f1443,plain,
    ( c1_1(a533)
    | spl0_10
    | ~ spl0_118
    | ~ spl0_127 ),
    inference(resolution,[],[f224,f994]) ).

fof(f1433,plain,
    ( spl0_88
    | ~ spl0_92
    | ~ spl0_118
    | ~ spl0_123
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1432,plain,
    ( $false
    | spl0_88
    | ~ spl0_92
    | ~ spl0_118
    | ~ spl0_123
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1419,f614]) ).

fof(f1419,plain,
    ( c1_1(a503)
    | ~ spl0_92
    | ~ spl0_118
    | ~ spl0_123
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(resolution,[],[f1394,f634]) ).

fof(f1394,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_118
    | ~ spl0_123
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f791,f1075]) ).

fof(f1075,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_118
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f818,f994]) ).

fof(f1314,plain,
    ( spl0_81
    | spl0_90
    | ~ spl0_121
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1313,plain,
    ( $false
    | spl0_81
    | spl0_90
    | ~ spl0_121
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1304,f624]) ).

fof(f1304,plain,
    ( c0_1(a465)
    | spl0_81
    | ~ spl0_121
    | ~ spl0_141 ),
    inference(resolution,[],[f1282,f579]) ).

fof(f1282,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_121
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f869,f783]) ).

fof(f869,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f868,plain,
    ( spl0_141
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1309,plain,
    ( spl0_105
    | ~ spl0_121
    | ~ spl0_141
    | spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1308]) ).

fof(f1308,plain,
    ( $false
    | spl0_105
    | ~ spl0_121
    | ~ spl0_141
    | spl0_149 ),
    inference(subsumption_resolution,[],[f1299,f933]) ).

fof(f933,plain,
    ( ~ c0_1(a492)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f1299,plain,
    ( c0_1(a492)
    | spl0_105
    | ~ spl0_121
    | ~ spl0_141 ),
    inference(resolution,[],[f1282,f699]) ).

fof(f699,plain,
    ( ~ c2_1(a492)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl0_105
  <=> c2_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1307,plain,
    ( spl0_84
    | spl0_89
    | ~ spl0_121
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1306,plain,
    ( $false
    | spl0_84
    | spl0_89
    | ~ spl0_121
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1298,f619]) ).

fof(f619,plain,
    ( ~ c0_1(a493)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f617,plain,
    ( spl0_89
  <=> c0_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1298,plain,
    ( c0_1(a493)
    | spl0_84
    | ~ spl0_121
    | ~ spl0_141 ),
    inference(resolution,[],[f1282,f594]) ).

fof(f594,plain,
    ( ~ c2_1(a493)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl0_84
  <=> c2_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1212,plain,
    ( spl0_62
    | spl0_66
    | ~ spl0_68
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1211]) ).

fof(f1211,plain,
    ( $false
    | spl0_62
    | spl0_66
    | ~ spl0_68
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1210,f514]) ).

fof(f514,plain,
    ( c2_1(a478)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl0_68
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1210,plain,
    ( ~ c2_1(a478)
    | spl0_62
    | spl0_66
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1204,f504]) ).

fof(f504,plain,
    ( ~ c0_1(a478)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f502,plain,
    ( spl0_66
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1204,plain,
    ( c0_1(a478)
    | ~ c2_1(a478)
    | spl0_62
    | ~ spl0_128 ),
    inference(resolution,[],[f814,f484]) ).

fof(f484,plain,
    ( ~ c3_1(a478)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_62
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1201,plain,
    ( ~ spl0_47
    | spl0_37
    | ~ spl0_39
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1193,f804,f367,f357,f407]) ).

fof(f407,plain,
    ( spl0_47
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f357,plain,
    ( spl0_37
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f367,plain,
    ( spl0_39
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1193,plain,
    ( ~ c1_1(a500)
    | spl0_37
    | ~ spl0_39
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1182,f359]) ).

fof(f359,plain,
    ( ~ c0_1(a500)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f1182,plain,
    ( c0_1(a500)
    | ~ c1_1(a500)
    | ~ spl0_39
    | ~ spl0_126 ),
    inference(resolution,[],[f805,f369]) ).

fof(f369,plain,
    ( c2_1(a500)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1172,plain,
    ( ~ spl0_70
    | ~ spl0_72
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1171]) ).

fof(f1171,plain,
    ( $false
    | ~ spl0_70
    | ~ spl0_72
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1160,f524]) ).

fof(f1160,plain,
    ( ~ c3_1(a468)
    | ~ spl0_72
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(resolution,[],[f1145,f534]) ).

fof(f1145,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f831,f835]) ).

fof(f831,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f830,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1087,plain,
    ( spl0_34
    | ~ spl0_48
    | ~ spl0_118
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1086,plain,
    ( $false
    | spl0_34
    | ~ spl0_48
    | ~ spl0_118
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1078,f414]) ).

fof(f414,plain,
    ( c0_1(a512)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f412,plain,
    ( spl0_48
  <=> c0_1(a512) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1078,plain,
    ( ~ c0_1(a512)
    | spl0_34
    | ~ spl0_118
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(resolution,[],[f1075,f344]) ).

fof(f344,plain,
    ( ~ c1_1(a512)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f342,plain,
    ( spl0_34
  <=> c1_1(a512) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1051,plain,
    ( ~ spl0_44
    | ~ spl0_46
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_46
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1037,f394]) ).

fof(f394,plain,
    ( c3_1(a470)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl0_44
  <=> c3_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1037,plain,
    ( ~ c3_1(a470)
    | ~ spl0_46
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(resolution,[],[f1033,f404]) ).

fof(f404,plain,
    ( c1_1(a470)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl0_46
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1033,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f880,f860]) ).

fof(f1032,plain,
    ( spl0_91
    | ~ spl0_95
    | ~ spl0_98
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1031,f859,f662,f647,f627]) ).

fof(f627,plain,
    ( spl0_91
  <=> c0_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f647,plain,
    ( spl0_95
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f662,plain,
    ( spl0_98
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1031,plain,
    ( c0_1(a466)
    | ~ spl0_95
    | ~ spl0_98
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1020,f649]) ).

fof(f649,plain,
    ( c3_1(a466)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f1020,plain,
    ( c0_1(a466)
    | ~ c3_1(a466)
    | ~ spl0_98
    | ~ spl0_139 ),
    inference(resolution,[],[f860,f664]) ).

fof(f664,plain,
    ( c1_1(a466)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f1027,plain,
    ( spl0_149
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1026,f859,f727,f722,f932]) ).

fof(f1026,plain,
    ( c0_1(a492)
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1015,f724]) ).

fof(f1015,plain,
    ( c0_1(a492)
    | ~ c3_1(a492)
    | ~ spl0_111
    | ~ spl0_139 ),
    inference(resolution,[],[f860,f729]) ).

fof(f988,plain,
    ( ~ spl0_69
    | spl0_63
    | spl0_60
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f949,f770,f472,f487,f517]) ).

fof(f517,plain,
    ( spl0_69
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f487,plain,
    ( spl0_63
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f472,plain,
    ( spl0_60
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f949,plain,
    ( c1_1(a471)
    | ~ c2_1(a471)
    | spl0_60
    | ~ spl0_118 ),
    inference(resolution,[],[f771,f474]) ).

fof(f474,plain,
    ( ~ c3_1(a471)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f987,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f977,f264]) ).

fof(f977,plain,
    ( ~ c3_1(a502)
    | ~ spl0_17
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(resolution,[],[f972,f259]) ).

fof(f972,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f891,f835]) ).

fof(f891,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_145
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f985,plain,
    ( ~ spl0_92
    | ~ spl0_93
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f984]) ).

fof(f984,plain,
    ( $false
    | ~ spl0_92
    | ~ spl0_93
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f976,f639]) ).

fof(f976,plain,
    ( ~ c3_1(a503)
    | ~ spl0_92
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(resolution,[],[f972,f634]) ).

fof(f946,plain,
    ( ~ spl0_148
    | spl0_59
    | spl0_65
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f945,f778,f497,f467,f926]) ).

fof(f926,plain,
    ( spl0_148
  <=> c0_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f945,plain,
    ( ~ c0_1(a488)
    | spl0_59
    | spl0_65
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f940,f499]) ).

fof(f940,plain,
    ( c1_1(a488)
    | ~ c0_1(a488)
    | spl0_59
    | ~ spl0_120 ),
    inference(resolution,[],[f779,f469]) ).

fof(f929,plain,
    ( spl0_65
    | spl0_148
    | spl0_56
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f924,f782,f452,f926,f497]) ).

fof(f924,plain,
    ( c0_1(a488)
    | c1_1(a488)
    | spl0_56
    | ~ spl0_121 ),
    inference(resolution,[],[f454,f783]) ).

fof(f923,plain,
    ( spl0_117
    | spl0_115
    | spl0_116
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f922,f782,f752,f747,f757]) ).

fof(f757,plain,
    ( spl0_117
  <=> c0_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f747,plain,
    ( spl0_115
  <=> c2_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f752,plain,
    ( spl0_116
  <=> c1_1(a480) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f922,plain,
    ( c0_1(a480)
    | spl0_115
    | spl0_116
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f915,f754]) ).

fof(f754,plain,
    ( ~ c1_1(a480)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f915,plain,
    ( c0_1(a480)
    | c1_1(a480)
    | spl0_115
    | ~ spl0_121 ),
    inference(resolution,[],[f783,f749]) ).

fof(f749,plain,
    ( ~ c2_1(a480)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f910,plain,
    ( spl0_121
    | spl0_136
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f178,f859,f845,f782]) ).

fof(f178,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f905,plain,
    ( spl0_127
    | spl0_143
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f178,f890,f879,f809]) ).

fof(f175,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X2)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f904,plain,
    ( spl0_141
    | spl0_139
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f178,f890,f859,f868]) ).

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

fof(f903,plain,
    ( spl0_121
    | spl0_122
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f178,f871,f786,f782]) ).

fof(f173,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X2)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f902,plain,
    ( spl0_119
    | spl0_145
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f178,f770,f890,f774]) ).

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

fof(f901,plain,
    ( spl0_136
    | spl0_120
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f178,f742,f778,f845]) ).

fof(f742,plain,
    ( spl0_114
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

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

fof(f900,plain,
    ( spl0_120
    | spl0_126
    | spl0_102
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f178,f682,f804,f778]) ).

fof(f682,plain,
    ( spl0_102
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

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

fof(f896,plain,
    ( spl0_146
    | spl0_145
    | spl0_102
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f178,f682,f890,f894]) ).

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

fof(f888,plain,
    ( spl0_134
    | spl0_144
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f178,f572,f884,f838]) ).

fof(f572,plain,
    ( spl0_80
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f142,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | c2_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f881,plain,
    ( spl0_136
    | spl0_143
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f178,f562,f879,f845]) ).

fof(f562,plain,
    ( spl0_78
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

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

fof(f877,plain,
    ( spl0_121
    | spl0_123
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f178,f572,f790,f782]) ).

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

fof(f865,plain,
    ( spl0_140
    | spl0_133
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f178,f427,f834,f863]) ).

fof(f427,plain,
    ( spl0_51
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f861,plain,
    ( spl0_139
    | spl0_133
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f178,f422,f834,f859]) ).

fof(f422,plain,
    ( spl0_50
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

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

fof(f857,plain,
    ( spl0_133
    | spl0_138
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f178,f447,f855,f834]) ).

fof(f447,plain,
    ( spl0_55
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

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

fof(f853,plain,
    ( spl0_121
    | spl0_120
    | spl0_28
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f178,f312,f778,f782]) ).

fof(f312,plain,
    ( spl0_28
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f145,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp25
      | ~ c0_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f851,plain,
    ( spl0_124
    | spl0_132
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f178,f322,f830,f794]) ).

fof(f322,plain,
    ( spl0_30
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f850,plain,
    ( spl0_136
    | spl0_137
    | spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f178,f327,f848,f845]) ).

fof(f327,plain,
    ( spl0_31
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f836,plain,
    ( spl0_123
    | spl0_133
    | spl0_27
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f178,f307,f834,f790]) ).

fof(f307,plain,
    ( spl0_27
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

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

fof(f819,plain,
    ( spl0_129
    | spl0_114
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f178,f562,f742,f817]) ).

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

fof(f815,plain,
    ( spl0_128
    | spl0_114
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f178,f572,f742,f813]) ).

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

fof(f811,plain,
    ( spl0_127
    | spl0_103
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f126,f178,f562,f687,f809]) ).

fof(f687,plain,
    ( spl0_103
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

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

fof(f801,plain,
    ( spl0_118
    | spl0_114
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f134,f178,f422,f742,f770]) ).

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

fof(f800,plain,
    ( spl0_125
    | spl0_74
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f178,f447,f542,f798]) ).

fof(f542,plain,
    ( spl0_74
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f129,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp16
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f792,plain,
    ( spl0_123
    | spl0_76
    | spl0_52
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f127,f178,f432,f552,f790]) ).

fof(f552,plain,
    ( spl0_76
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f432,plain,
    ( spl0_52
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

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

fof(f784,plain,
    ( spl0_121
    | spl0_80
    | spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f125,f178,f327,f572,f782]) ).

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

fof(f780,plain,
    ( spl0_120
    | spl0_76
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f178,f302,f552,f778]) ).

fof(f302,plain,
    ( spl0_26
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f132,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp2
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f776,plain,
    ( spl0_119
    | spl0_77
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f178,f302,f557,f774]) ).

fof(f557,plain,
    ( spl0_77
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

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

fof(f772,plain,
    ( spl0_118
    | spl0_77
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f178,f182,f557,f770]) ).

fof(f182,plain,
    ( spl0_2
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f768,plain,
    ( spl0_114
    | spl0_77
    | spl0_52 ),
    inference(avatar_split_clause,[],[f37,f432,f557,f742]) ).

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

fof(f765,plain,
    ( spl0_53
    | spl0_50
    | spl0_28 ),
    inference(avatar_split_clause,[],[f33,f312,f422,f437]) ).

fof(f437,plain,
    ( spl0_53
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f33,axiom,
    ( hskp25
    | hskp14
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f764,plain,
    ( spl0_103
    | spl0_74
    | spl0_7 ),
    inference(avatar_split_clause,[],[f36,f207,f542,f687]) ).

fof(f207,plain,
    ( spl0_7
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f36,axiom,
    ( hskp24
    | hskp16
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f763,plain,
    ( spl0_102
    | spl0_77
    | spl0_6 ),
    inference(avatar_split_clause,[],[f34,f202,f557,f682]) ).

fof(f202,plain,
    ( spl0_6
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

fof(f760,plain,
    ( ~ spl0_117
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f102,f742,f757]) ).

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

fof(f755,plain,
    ( ~ spl0_116
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f103,f742,f752]) ).

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

fof(f750,plain,
    ( ~ spl0_115
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f104,f742,f747]) ).

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

fof(f745,plain,
    ( spl0_1
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f18,f742,f178]) ).

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

fof(f740,plain,
    ( spl0_113
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f70,f682,f737]) ).

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

fof(f730,plain,
    ( spl0_111
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f63,f687,f727]) ).

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

fof(f725,plain,
    ( spl0_110
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f64,f687,f722]) ).

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

fof(f715,plain,
    ( spl0_108
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f71,f682,f712]) ).

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

fof(f710,plain,
    ( ~ spl0_107
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f108,f682,f707]) ).

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

fof(f700,plain,
    ( ~ spl0_105
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f97,f687,f697]) ).

fof(f97,axiom,
    ( ~ hskp15
    | ~ c2_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f680,plain,
    ( spl0_101
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f82,f572,f677]) ).

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

fof(f665,plain,
    ( spl0_98
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f79,f562,f662]) ).

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

fof(f650,plain,
    ( spl0_95
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f80,f562,f647]) ).

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

fof(f640,plain,
    ( spl0_93
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f57,f557,f637]) ).

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

fof(f635,plain,
    ( spl0_92
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f56,f557,f632]) ).

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

fof(f630,plain,
    ( ~ spl0_91
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f117,f562,f627]) ).

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

fof(f625,plain,
    ( ~ spl0_90
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f118,f552,f622]) ).

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

fof(f620,plain,
    ( ~ spl0_89
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f95,f542,f617]) ).

fof(f95,axiom,
    ( ~ hskp16
    | ~ c0_1(a493) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f615,plain,
    ( ~ spl0_88
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f89,f557,f612]) ).

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

fof(f605,plain,
    ( ~ spl0_86
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f124,f572,f602]) ).

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

fof(f600,plain,
    ( ~ spl0_85
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f120,f552,f597]) ).

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

fof(f595,plain,
    ( ~ spl0_84
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f96,f542,f592]) ).

fof(f96,axiom,
    ( ~ hskp16
    | ~ c2_1(a493) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f585,plain,
    ( ~ spl0_82
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f123,f572,f582]) ).

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

fof(f580,plain,
    ( ~ spl0_81
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f119,f552,f577]) ).

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

fof(f560,plain,
    ( spl0_1
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f10,f557,f178]) ).

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

fof(f535,plain,
    ( spl0_72
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f76,f437,f532]) ).

fof(f76,axiom,
    ( ~ hskp5
    | c0_1(a468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f525,plain,
    ( spl0_70
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f77,f437,f522]) ).

fof(f77,axiom,
    ( ~ hskp5
    | c3_1(a468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f520,plain,
    ( spl0_69
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f75,f432,f517]) ).

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

fof(f515,plain,
    ( spl0_68
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f67,f427,f512]) ).

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

fof(f510,plain,
    ( ~ spl0_67
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f92,f447,f507]) ).

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

fof(f505,plain,
    ( ~ spl0_66
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f105,f427,f502]) ).

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

fof(f500,plain,
    ( ~ spl0_65
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f98,f422,f497]) ).

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

fof(f495,plain,
    ( ~ spl0_64
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f93,f447,f492]) ).

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

fof(f490,plain,
    ( ~ spl0_63
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f112,f432,f487]) ).

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

fof(f485,plain,
    ( ~ spl0_62
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f106,f427,f482]) ).

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

fof(f475,plain,
    ( ~ spl0_60
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f113,f432,f472]) ).

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

fof(f470,plain,
    ( ~ spl0_59
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f100,f422,f467]) ).

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

fof(f465,plain,
    ( ~ spl0_58
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f94,f447,f462]) ).

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

fof(f455,plain,
    ( ~ spl0_56
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f99,f422,f452]) ).

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

fof(f435,plain,
    ( spl0_1
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f24,f432,f178]) ).

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

fof(f420,plain,
    ( spl0_49
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f47,f312,f417]) ).

fof(f47,axiom,
    ( ~ hskp25
    | c0_1(a461) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f415,plain,
    ( spl0_48
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f54,f322,f412]) ).

fof(f54,axiom,
    ( ~ hskp21
    | c0_1(a512) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f410,plain,
    ( spl0_47
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f60,f302,f407]) ).

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

fof(f405,plain,
    ( spl0_46
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f44,f307,f402]) ).

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

fof(f395,plain,
    ( spl0_44
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f46,f307,f392]) ).

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

fof(f385,plain,
    ( spl0_42
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f49,f312,f382]) ).

fof(f49,axiom,
    ( ~ hskp25
    | c3_1(a461) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f380,plain,
    ( spl0_41
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f48,f312,f377]) ).

fof(f48,axiom,
    ( ~ hskp25
    | c2_1(a461) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f375,plain,
    ( spl0_40
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f81,f327,f372]) ).

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

fof(f370,plain,
    ( spl0_39
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f61,f302,f367]) ).

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

fof(f360,plain,
    ( ~ spl0_37
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f91,f302,f357]) ).

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

fof(f350,plain,
    ( ~ spl0_35
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f121,f327,f347]) ).

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

fof(f345,plain,
    ( ~ spl0_34
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f88,f322,f342]) ).

fof(f88,axiom,
    ( ~ hskp21
    | ~ c1_1(a512) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f335,plain,
    ( ~ spl0_32
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f122,f327,f332]) ).

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

fof(f300,plain,
    ( spl0_25
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f51,f202,f297]) ).

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

fof(f285,plain,
    ( spl0_22
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f50,f207,f282]) ).

fof(f50,axiom,
    ( ~ hskp24
    | c0_1(a540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f265,plain,
    ( spl0_18
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f59,f182,f262]) ).

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

fof(f260,plain,
    ( spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f58,f182,f257]) ).

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

fof(f245,plain,
    ( ~ spl0_14
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f90,f182,f242]) ).

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

fof(f240,plain,
    ( ~ spl0_13
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f85,f202,f237]) ).

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

fof(f235,plain,
    ( ~ spl0_12
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f83,f207,f232]) ).

fof(f83,axiom,
    ( ~ hskp24
    | ~ c1_1(a540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f225,plain,
    ( ~ spl0_10
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f86,f202,f222]) ).

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

fof(f215,plain,
    ( ~ spl0_8
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f84,f207,f212]) ).

fof(f84,axiom,
    ( ~ hskp24
    | ~ c2_1(a540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.18  % Problem    : SYN448-1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.20  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.42  % Computer : n020.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8042.1875MB
% 0.15/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.42  % CPULimit   : 300
% 0.15/0.42  % WCLimit    : 300
% 0.15/0.42  % DateTime   : Tue Apr 30 01:47:47 EDT 2024
% 0.15/0.42  % CPUTime    : 
% 0.15/0.42  % (15813)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.44  % (15817)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.44  Detected minimum model sizes of [1]
% 0.15/0.44  Detected maximum model sizes of [29]
% 0.15/0.44  TRYING [1]
% 0.15/0.44  % (15814)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.44  % (15815)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.44  % (15818)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.44  % (15816)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.44  % (15819)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.44  TRYING [2]
% 0.15/0.44  % (15820)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.44  TRYING [3]
% 0.15/0.44  Detected minimum model sizes of [1]
% 0.15/0.44  Detected maximum model sizes of [29]
% 0.15/0.44  TRYING [1]
% 0.15/0.44  Detected minimum model sizes of [1]
% 0.15/0.44  Detected maximum model sizes of [29]
% 0.15/0.44  TRYING [1]
% 0.15/0.44  TRYING [2]
% 0.15/0.45  Detected minimum model sizes of [1]
% 0.15/0.45  Detected maximum model sizes of [29]
% 0.15/0.45  TRYING [1]
% 0.15/0.45  TRYING [2]
% 0.15/0.45  TRYING [4]
% 0.15/0.45  TRYING [3]
% 0.15/0.45  TRYING [2]
% 0.15/0.45  TRYING [3]
% 0.15/0.45  TRYING [3]
% 0.15/0.45  TRYING [4]
% 0.15/0.45  TRYING [4]
% 0.15/0.45  TRYING [4]
% 0.15/0.46  TRYING [5]
% 0.15/0.47  TRYING [5]
% 0.15/0.48  TRYING [5]
% 0.15/0.48  % (15819)First to succeed.
% 0.15/0.48  TRYING [5]
% 0.15/0.48  % (15819)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (15819)------------------------------
% 0.15/0.49  % (15819)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.49  % (15819)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (15819)Memory used [KB]: 1745
% 0.15/0.49  % (15819)Time elapsed: 0.043 s
% 0.15/0.49  % (15819)Instructions burned: 70 (million)
% 0.15/0.49  % (15819)------------------------------
% 0.15/0.49  % (15819)------------------------------
% 0.15/0.49  % (15813)Success in time 0.063 s
%------------------------------------------------------------------------------