TSTP Solution File: SYN500-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN500-1 : 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 : n008.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 12:11:04 EDT 2024

% Result   : Unsatisfiable 0.23s 0.44s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  260
% Syntax   : Number of formulae    :  777 (   1 unt;   0 def)
%            Number of atoms       : 2659 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3331 (1449   ~;1742   |;   0   &)
%                                         ( 140 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  171 ( 170 usr; 167 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  161 ( 161   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3059,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f254,f279,f319,f324,f329,f334,f339,f344,f349,f354,f359,f364,f369,f374,f379,f384,f389,f394,f399,f404,f429,f454,f469,f474,f479,f484,f494,f499,f504,f509,f514,f519,f529,f539,f549,f564,f569,f574,f579,f584,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f669,f674,f679,f684,f704,f709,f714,f719,f724,f729,f734,f739,f744,f749,f754,f764,f769,f774,f779,f784,f789,f794,f799,f804,f805,f808,f810,f811,f812,f816,f820,f824,f833,f834,f838,f839,f872,f877,f882,f889,f893,f897,f905,f912,f916,f925,f926,f927,f928,f929,f938,f942,f943,f944,f945,f946,f953,f954,f957,f958,f959,f966,f967,f968,f969,f976,f979,f980,f988,f999,f1030,f1046,f1048,f1050,f1067,f1079,f1110,f1149,f1157,f1177,f1207,f1229,f1243,f1245,f1248,f1256,f1285,f1363,f1389,f1406,f1431,f1463,f1464,f1507,f1550,f1576,f1592,f1625,f1643,f1715,f1758,f1769,f1790,f1791,f1808,f1903,f1981,f1987,f2037,f2041,f2072,f2077,f2084,f2208,f2392,f2437,f2445,f2449,f2455,f2485,f2489,f2512,f2533,f2551,f2554,f2606,f2612,f2617,f2619,f2627,f2681,f2711,f2713,f2744,f2789,f2796,f2837,f2844,f2854,f2856,f2862,f2863,f2901,f3008,f3010,f3047,f3055,f3058]) ).

fof(f3058,plain,
    ( spl0_114
    | spl0_118
    | ~ spl0_120
    | ~ spl0_126
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3057]) ).

fof(f3057,plain,
    ( $false
    | spl0_114
    | spl0_118
    | ~ spl0_120
    | ~ spl0_126
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3056,f768]) ).

fof(f768,plain,
    ( ~ c2_1(a2)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f766,plain,
    ( spl0_114
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3056,plain,
    ( c2_1(a2)
    | spl0_114
    | spl0_118
    | ~ spl0_120
    | ~ spl0_126
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3038,f788]) ).

fof(f788,plain,
    ( ~ c1_1(a2)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl0_118
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3038,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | spl0_114
    | ~ spl0_120
    | ~ spl0_126
    | ~ spl0_143 ),
    inference(resolution,[],[f908,f2642]) ).

fof(f2642,plain,
    ( c3_1(a2)
    | spl0_114
    | ~ spl0_120
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2641,f768]) ).

fof(f2641,plain,
    ( c3_1(a2)
    | c2_1(a2)
    | ~ spl0_120
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f798]) ).

fof(f798,plain,
    ( c0_1(a2)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl0_120
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f831,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f830,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f908,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f907,plain,
    ( spl0_143
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3055,plain,
    ( spl0_83
    | spl0_90
    | ~ spl0_93
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3054]) ).

fof(f3054,plain,
    ( $false
    | spl0_83
    | spl0_90
    | ~ spl0_93
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3053,f613]) ).

fof(f613,plain,
    ( ~ c2_1(a3)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl0_83
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f3053,plain,
    ( c2_1(a3)
    | spl0_90
    | ~ spl0_93
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3037,f648]) ).

fof(f648,plain,
    ( ~ c1_1(a3)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl0_90
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3037,plain,
    ( c1_1(a3)
    | c2_1(a3)
    | ~ spl0_93
    | ~ spl0_143 ),
    inference(resolution,[],[f908,f663]) ).

fof(f663,plain,
    ( c3_1(a3)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f661,plain,
    ( spl0_93
  <=> c3_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3047,plain,
    ( spl0_106
    | ~ spl0_108
    | ~ spl0_143
    | spl0_164 ),
    inference(avatar_contradiction_clause,[],[f3046]) ).

fof(f3046,plain,
    ( $false
    | spl0_106
    | ~ spl0_108
    | ~ spl0_143
    | spl0_164 ),
    inference(subsumption_resolution,[],[f3045,f1617]) ).

fof(f1617,plain,
    ( ~ c2_1(a22)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1615]) ).

fof(f1615,plain,
    ( spl0_164
  <=> c2_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f3045,plain,
    ( c2_1(a22)
    | spl0_106
    | ~ spl0_108
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3032,f728]) ).

fof(f728,plain,
    ( ~ c1_1(a22)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl0_106
  <=> c1_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3032,plain,
    ( c1_1(a22)
    | c2_1(a22)
    | ~ spl0_108
    | ~ spl0_143 ),
    inference(resolution,[],[f908,f738]) ).

fof(f738,plain,
    ( c3_1(a22)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f736,plain,
    ( spl0_108
  <=> c3_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3010,plain,
    ( spl0_165
    | ~ spl0_97
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3006,f841,f822,f681,f1627]) ).

fof(f1627,plain,
    ( spl0_165
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f681,plain,
    ( spl0_97
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f822,plain,
    ( spl0_124
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f841,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f3006,plain,
    ( c0_1(a1)
    | ~ spl0_97
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(resolution,[],[f2982,f683]) ).

fof(f683,plain,
    ( c1_1(a1)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f2982,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f842,f823]) ).

fof(f823,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f842,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f3008,plain,
    ( spl0_117
    | ~ spl0_121
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f3007]) ).

fof(f3007,plain,
    ( $false
    | spl0_117
    | ~ spl0_121
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3003,f783]) ).

fof(f783,plain,
    ( ~ c0_1(a19)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f781,plain,
    ( spl0_117
  <=> c0_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3003,plain,
    ( c0_1(a19)
    | ~ spl0_121
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(resolution,[],[f2982,f803]) ).

fof(f803,plain,
    ( c1_1(a19)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f801,plain,
    ( spl0_121
  <=> c1_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2901,plain,
    ( spl0_167
    | spl0_86
    | ~ spl0_95
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2636,f830,f671,f626,f1878]) ).

fof(f1878,plain,
    ( spl0_167
  <=> c2_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f626,plain,
    ( spl0_86
  <=> c3_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f671,plain,
    ( spl0_95
  <=> c0_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2636,plain,
    ( c3_1(a43)
    | c2_1(a43)
    | ~ spl0_95
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f673]) ).

fof(f673,plain,
    ( c0_1(a43)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f2863,plain,
    ( spl0_159
    | spl0_54
    | ~ spl0_73
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2638,f830,f561,f466,f1426]) ).

fof(f1426,plain,
    ( spl0_159
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f466,plain,
    ( spl0_54
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f561,plain,
    ( spl0_73
  <=> c0_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2638,plain,
    ( c3_1(a33)
    | c2_1(a33)
    | ~ spl0_73
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f563]) ).

fof(f563,plain,
    ( c0_1(a33)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f2862,plain,
    ( spl0_54
    | spl0_59
    | ~ spl0_73
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2647,f874,f561,f491,f466]) ).

fof(f491,plain,
    ( spl0_59
  <=> c1_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f874,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2647,plain,
    ( c1_1(a33)
    | c3_1(a33)
    | ~ spl0_73
    | ~ spl0_136 ),
    inference(resolution,[],[f875,f563]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f2856,plain,
    ( ~ spl0_157
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2855,f910,f381,f366,f1262]) ).

fof(f1262,plain,
    ( spl0_157
  <=> c1_1(a73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f366,plain,
    ( spl0_34
  <=> c2_1(a73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f381,plain,
    ( spl0_37
  <=> c0_1(a73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f910,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2855,plain,
    ( ~ c1_1(a73)
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2847,f368]) ).

fof(f368,plain,
    ( c2_1(a73)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f2847,plain,
    ( ~ c1_1(a73)
    | ~ c2_1(a73)
    | ~ spl0_37
    | ~ spl0_144 ),
    inference(resolution,[],[f383,f911]) ).

fof(f911,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f383,plain,
    ( c0_1(a73)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f2854,plain,
    ( spl0_157
    | spl0_27
    | ~ spl0_37
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2853,f874,f381,f331,f1262]) ).

fof(f331,plain,
    ( spl0_27
  <=> c3_1(a73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2853,plain,
    ( c1_1(a73)
    | spl0_27
    | ~ spl0_37
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2848,f333]) ).

fof(f333,plain,
    ( ~ c3_1(a73)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f2848,plain,
    ( c1_1(a73)
    | c3_1(a73)
    | ~ spl0_37
    | ~ spl0_136 ),
    inference(resolution,[],[f383,f875]) ).

fof(f2844,plain,
    ( spl0_26
    | spl0_28
    | ~ spl0_126
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f2843]) ).

fof(f2843,plain,
    ( $false
    | spl0_26
    | spl0_28
    | ~ spl0_126
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2842,f328]) ).

fof(f328,plain,
    ( ~ c2_1(a8)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f326,plain,
    ( spl0_26
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2842,plain,
    ( c2_1(a8)
    | spl0_28
    | ~ spl0_126
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2841,f338]) ).

fof(f338,plain,
    ( ~ c3_1(a8)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl0_28
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2841,plain,
    ( c3_1(a8)
    | c2_1(a8)
    | ~ spl0_126
    | ~ spl0_170 ),
    inference(resolution,[],[f2089,f831]) ).

fof(f2089,plain,
    ( c0_1(a8)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f2088]) ).

fof(f2088,plain,
    ( spl0_170
  <=> c0_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2837,plain,
    ( spl0_114
    | spl0_118
    | ~ spl0_120
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2836]) ).

fof(f2836,plain,
    ( $false
    | spl0_114
    | spl0_118
    | ~ spl0_120
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2835,f768]) ).

fof(f2835,plain,
    ( c2_1(a2)
    | spl0_118
    | ~ spl0_120
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2822,f788]) ).

fof(f2822,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | ~ spl0_120
    | ~ spl0_145 ),
    inference(resolution,[],[f915,f798]) ).

fof(f915,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl0_145
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2796,plain,
    ( ~ spl0_63
    | ~ spl0_66
    | ~ spl0_137
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2795]) ).

fof(f2795,plain,
    ( $false
    | ~ spl0_63
    | ~ spl0_66
    | ~ spl0_137
    | spl0_163 ),
    inference(subsumption_resolution,[],[f2794,f528]) ).

fof(f528,plain,
    ( c3_1(a13)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl0_66
  <=> c3_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2794,plain,
    ( ~ c3_1(a13)
    | ~ spl0_63
    | ~ spl0_137
    | spl0_163 ),
    inference(subsumption_resolution,[],[f2793,f1584]) ).

fof(f1584,plain,
    ( ~ c0_1(a13)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1582]) ).

fof(f1582,plain,
    ( spl0_163
  <=> c0_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2793,plain,
    ( c0_1(a13)
    | ~ c3_1(a13)
    | ~ spl0_63
    | ~ spl0_137 ),
    inference(resolution,[],[f513,f880]) ).

fof(f880,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f879,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f513,plain,
    ( c2_1(a13)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl0_63
  <=> c2_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2789,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | ~ spl0_122
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2788,f1458,f814,f401,f386]) ).

fof(f386,plain,
    ( spl0_38
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f401,plain,
    ( spl0_41
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f814,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1458,plain,
    ( spl0_162
  <=> c3_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2788,plain,
    ( ~ c0_1(a25)
    | ~ spl0_41
    | ~ spl0_122
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2045,f1460]) ).

fof(f1460,plain,
    ( c3_1(a25)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1458]) ).

fof(f2045,plain,
    ( ~ c3_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_41
    | ~ spl0_122 ),
    inference(resolution,[],[f403,f815]) ).

fof(f815,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f403,plain,
    ( c1_1(a25)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f2744,plain,
    ( ~ spl0_166
    | spl0_117
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2743,f879,f791,f781,f1771]) ).

fof(f1771,plain,
    ( spl0_166
  <=> c3_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f791,plain,
    ( spl0_119
  <=> c2_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2743,plain,
    ( ~ c3_1(a19)
    | spl0_117
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2734,f783]) ).

fof(f2734,plain,
    ( c0_1(a19)
    | ~ c3_1(a19)
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(resolution,[],[f880,f793]) ).

fof(f793,plain,
    ( c2_1(a19)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f2713,plain,
    ( ~ spl0_170
    | spl0_26
    | ~ spl0_39
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2712,f857,f391,f326,f2088]) ).

fof(f391,plain,
    ( spl0_39
  <=> c1_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f857,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2712,plain,
    ( ~ c0_1(a8)
    | spl0_26
    | ~ spl0_39
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f2575,f328]) ).

fof(f2575,plain,
    ( c2_1(a8)
    | ~ c0_1(a8)
    | ~ spl0_39
    | ~ spl0_132 ),
    inference(resolution,[],[f858,f393]) ).

fof(f393,plain,
    ( c1_1(a8)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f858,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f2711,plain,
    ( spl0_170
    | spl0_28
    | ~ spl0_39
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2710,f891,f391,f336,f2088]) ).

fof(f891,plain,
    ( spl0_139
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2710,plain,
    ( c0_1(a8)
    | spl0_28
    | ~ spl0_39
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2696,f338]) ).

fof(f2696,plain,
    ( c0_1(a8)
    | c3_1(a8)
    | ~ spl0_39
    | ~ spl0_139 ),
    inference(resolution,[],[f892,f393]) ).

fof(f892,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f2681,plain,
    ( spl0_25
    | spl0_29
    | spl0_31
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2680]) ).

fof(f2680,plain,
    ( $false
    | spl0_25
    | spl0_29
    | spl0_31
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2679,f343]) ).

fof(f343,plain,
    ( ~ c3_1(a18)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl0_29
  <=> c3_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2679,plain,
    ( c3_1(a18)
    | spl0_25
    | spl0_31
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2669,f323]) ).

fof(f323,plain,
    ( ~ c2_1(a18)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl0_25
  <=> c2_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2669,plain,
    ( c2_1(a18)
    | c3_1(a18)
    | spl0_31
    | ~ spl0_138 ),
    inference(resolution,[],[f887,f353]) ).

fof(f353,plain,
    ( ~ c1_1(a18)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl0_31
  <=> c1_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f887,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2627,plain,
    ( ~ spl0_61
    | ~ spl0_76
    | ~ spl0_130
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2626]) ).

fof(f2626,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_76
    | ~ spl0_130
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2625,f503]) ).

fof(f503,plain,
    ( c2_1(a23)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl0_61
  <=> c2_1(a23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2625,plain,
    ( ~ c2_1(a23)
    | ~ spl0_76
    | ~ spl0_130
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2623,f1066]) ).

fof(f1066,plain,
    ( ~ c3_1(a23)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1064,plain,
    ( spl0_154
  <=> c3_1(a23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2623,plain,
    ( c3_1(a23)
    | ~ c2_1(a23)
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(resolution,[],[f578,f850]) ).

fof(f850,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f578,plain,
    ( c1_1(a23)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f576,plain,
    ( spl0_76
  <=> c1_1(a23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2619,plain,
    ( ~ spl0_156
    | spl0_101
    | ~ spl0_109
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2517,f849,f741,f701,f1112]) ).

fof(f1112,plain,
    ( spl0_156
  <=> c2_1(a48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f701,plain,
    ( spl0_101
  <=> c3_1(a48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f741,plain,
    ( spl0_109
  <=> c1_1(a48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2517,plain,
    ( c3_1(a48)
    | ~ c2_1(a48)
    | ~ spl0_109
    | ~ spl0_130 ),
    inference(resolution,[],[f850,f743]) ).

fof(f743,plain,
    ( c1_1(a48)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f2617,plain,
    ( ~ spl0_163
    | ~ spl0_66
    | ~ spl0_77
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2000,f814,f581,f526,f1582]) ).

fof(f581,plain,
    ( spl0_77
  <=> c1_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2000,plain,
    ( ~ c3_1(a13)
    | ~ c0_1(a13)
    | ~ spl0_77
    | ~ spl0_122 ),
    inference(resolution,[],[f583,f815]) ).

fof(f583,plain,
    ( c1_1(a13)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f2612,plain,
    ( spl0_56
    | ~ spl0_62
    | ~ spl0_64
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2611]) ).

fof(f2611,plain,
    ( $false
    | spl0_56
    | ~ spl0_62
    | ~ spl0_64
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2610,f518]) ).

fof(f518,plain,
    ( c3_1(a47)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f516,plain,
    ( spl0_64
  <=> c3_1(a47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2610,plain,
    ( ~ c3_1(a47)
    | spl0_56
    | ~ spl0_62
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2609,f478]) ).

fof(f478,plain,
    ( ~ c0_1(a47)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_56
  <=> c0_1(a47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2609,plain,
    ( c0_1(a47)
    | ~ c3_1(a47)
    | ~ spl0_62
    | ~ spl0_137 ),
    inference(resolution,[],[f508,f880]) ).

fof(f508,plain,
    ( c2_1(a47)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f506,plain,
    ( spl0_62
  <=> c2_1(a47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2606,plain,
    ( spl0_166
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2605,f849,f801,f791,f1771]) ).

fof(f2605,plain,
    ( c3_1(a19)
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2521,f793]) ).

fof(f2521,plain,
    ( c3_1(a19)
    | ~ c2_1(a19)
    | ~ spl0_121
    | ~ spl0_130 ),
    inference(resolution,[],[f850,f803]) ).

fof(f2554,plain,
    ( spl0_88
    | spl0_91
    | ~ spl0_92
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2553]) ).

fof(f2553,plain,
    ( $false
    | spl0_88
    | spl0_91
    | ~ spl0_92
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2552,f638]) ).

fof(f638,plain,
    ( ~ c0_1(a5)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f636,plain,
    ( spl0_88
  <=> c0_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2552,plain,
    ( c0_1(a5)
    | spl0_91
    | ~ spl0_92
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2546,f653]) ).

fof(f653,plain,
    ( ~ c1_1(a5)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f651,plain,
    ( spl0_91
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2546,plain,
    ( c1_1(a5)
    | c0_1(a5)
    | ~ spl0_92
    | ~ spl0_131 ),
    inference(resolution,[],[f854,f658]) ).

fof(f658,plain,
    ( c2_1(a5)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl0_92
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

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

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

fof(f2551,plain,
    ( spl0_160
    | spl0_103
    | ~ spl0_107
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2550,f853,f731,f711,f1433]) ).

fof(f1433,plain,
    ( spl0_160
  <=> c1_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f711,plain,
    ( spl0_103
  <=> c0_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f731,plain,
    ( spl0_107
  <=> c2_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2550,plain,
    ( c1_1(a40)
    | spl0_103
    | ~ spl0_107
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2540,f713]) ).

fof(f713,plain,
    ( ~ c0_1(a40)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f2540,plain,
    ( c1_1(a40)
    | c0_1(a40)
    | ~ spl0_107
    | ~ spl0_131 ),
    inference(resolution,[],[f854,f733]) ).

fof(f733,plain,
    ( c2_1(a40)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f2533,plain,
    ( spl0_102
    | ~ spl0_107
    | ~ spl0_130
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2532]) ).

fof(f2532,plain,
    ( $false
    | spl0_102
    | ~ spl0_107
    | ~ spl0_130
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2531,f733]) ).

fof(f2531,plain,
    ( ~ c2_1(a40)
    | spl0_102
    | ~ spl0_130
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2518,f708]) ).

fof(f708,plain,
    ( ~ c3_1(a40)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f706,plain,
    ( spl0_102
  <=> c3_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2518,plain,
    ( c3_1(a40)
    | ~ c2_1(a40)
    | ~ spl0_130
    | ~ spl0_160 ),
    inference(resolution,[],[f850,f1435]) ).

fof(f1435,plain,
    ( c1_1(a40)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1433]) ).

fof(f2512,plain,
    ( spl0_86
    | ~ spl0_95
    | ~ spl0_129
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2511,f1878,f845,f671,f626]) ).

fof(f845,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2511,plain,
    ( c3_1(a43)
    | ~ spl0_95
    | ~ spl0_129
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2493,f1880]) ).

fof(f1880,plain,
    ( c2_1(a43)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1878]) ).

fof(f2493,plain,
    ( c3_1(a43)
    | ~ c2_1(a43)
    | ~ spl0_95
    | ~ spl0_129 ),
    inference(resolution,[],[f846,f673]) ).

fof(f846,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f2489,plain,
    ( spl0_55
    | spl0_60
    | ~ spl0_125
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2488]) ).

fof(f2488,plain,
    ( $false
    | spl0_55
    | spl0_60
    | ~ spl0_125
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2479,f473]) ).

fof(f473,plain,
    ( ~ c0_1(a7)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl0_55
  <=> c0_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2479,plain,
    ( c0_1(a7)
    | spl0_60
    | ~ spl0_125
    | ~ spl0_134 ),
    inference(resolution,[],[f2458,f498]) ).

fof(f498,plain,
    ( ~ c1_1(a7)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl0_60
  <=> c1_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2458,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_125
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f866,f827]) ).

fof(f827,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f826,plain,
    ( spl0_125
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f866,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f865,plain,
    ( spl0_134
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2485,plain,
    ( spl0_88
    | spl0_91
    | ~ spl0_125
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2484]) ).

fof(f2484,plain,
    ( $false
    | spl0_88
    | spl0_91
    | ~ spl0_125
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2474,f638]) ).

fof(f2474,plain,
    ( c0_1(a5)
    | spl0_91
    | ~ spl0_125
    | ~ spl0_134 ),
    inference(resolution,[],[f2458,f653]) ).

fof(f2455,plain,
    ( spl0_84
    | spl0_165
    | ~ spl0_97
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2305,f841,f681,f1627,f616]) ).

fof(f616,plain,
    ( spl0_84
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2305,plain,
    ( c0_1(a1)
    | c2_1(a1)
    | ~ spl0_97
    | ~ spl0_128 ),
    inference(resolution,[],[f842,f683]) ).

fof(f2449,plain,
    ( spl0_101
    | spl0_104
    | ~ spl0_109
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2448,f891,f741,f716,f701]) ).

fof(f716,plain,
    ( spl0_104
  <=> c0_1(a48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2448,plain,
    ( c3_1(a48)
    | spl0_104
    | ~ spl0_109
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2358,f718]) ).

fof(f718,plain,
    ( ~ c0_1(a48)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f2358,plain,
    ( c0_1(a48)
    | c3_1(a48)
    | ~ spl0_109
    | ~ spl0_139 ),
    inference(resolution,[],[f892,f743]) ).

fof(f2445,plain,
    ( spl0_88
    | spl0_91
    | ~ spl0_92
    | ~ spl0_125
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2444]) ).

fof(f2444,plain,
    ( $false
    | spl0_88
    | spl0_91
    | ~ spl0_92
    | ~ spl0_125
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2443,f638]) ).

fof(f2443,plain,
    ( c0_1(a5)
    | spl0_88
    | spl0_91
    | ~ spl0_92
    | ~ spl0_125
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2442,f653]) ).

fof(f2442,plain,
    ( c1_1(a5)
    | c0_1(a5)
    | spl0_88
    | ~ spl0_92
    | ~ spl0_125
    | ~ spl0_127 ),
    inference(resolution,[],[f2286,f827]) ).

fof(f2286,plain,
    ( c3_1(a5)
    | spl0_88
    | ~ spl0_92
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2267,f638]) ).

fof(f2267,plain,
    ( c0_1(a5)
    | c3_1(a5)
    | ~ spl0_92
    | ~ spl0_127 ),
    inference(resolution,[],[f837,f658]) ).

fof(f837,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f836,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2437,plain,
    ( ~ spl0_95
    | ~ spl0_96
    | ~ spl0_128
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2436]) ).

fof(f2436,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_96
    | ~ spl0_128
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2426,f673]) ).

fof(f2426,plain,
    ( ~ c0_1(a43)
    | ~ spl0_96
    | ~ spl0_128
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(resolution,[],[f2422,f678]) ).

fof(f678,plain,
    ( c1_1(a43)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f676,plain,
    ( spl0_96
  <=> c1_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2422,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f911,f2308]) ).

fof(f2308,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f858,f842]) ).

fof(f2392,plain,
    ( spl0_106
    | ~ spl0_108
    | ~ spl0_141
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | spl0_106
    | ~ spl0_108
    | ~ spl0_141
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2390,f738]) ).

fof(f2390,plain,
    ( ~ c3_1(a22)
    | spl0_106
    | ~ spl0_141
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2380,f728]) ).

fof(f2380,plain,
    ( c1_1(a22)
    | ~ c3_1(a22)
    | ~ spl0_141
    | ~ spl0_164 ),
    inference(resolution,[],[f900,f1616]) ).

fof(f1616,plain,
    ( c2_1(a22)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1615]) ).

fof(f900,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f899,plain,
    ( spl0_141
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2208,plain,
    ( ~ spl0_36
    | ~ spl0_40
    | ~ spl0_122
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2095,f895,f814,f396,f376]) ).

fof(f376,plain,
    ( spl0_36
  <=> c3_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f396,plain,
    ( spl0_40
  <=> c1_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f895,plain,
    ( spl0_140
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2095,plain,
    ( ~ c3_1(a64)
    | ~ spl0_40
    | ~ spl0_122
    | ~ spl0_140 ),
    inference(resolution,[],[f2092,f398]) ).

fof(f398,plain,
    ( c1_1(a64)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f2092,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_122
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f896,f815]) ).

fof(f896,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f2084,plain,
    ( spl0_113
    | spl0_116
    | ~ spl0_128
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2083]) ).

fof(f2083,plain,
    ( $false
    | spl0_113
    | spl0_116
    | ~ spl0_128
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2065,f778]) ).

fof(f778,plain,
    ( ~ c0_1(a20)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f776,plain,
    ( spl0_116
  <=> c0_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2065,plain,
    ( c0_1(a20)
    | spl0_113
    | ~ spl0_128
    | ~ spl0_149 ),
    inference(resolution,[],[f1996,f763]) ).

fof(f763,plain,
    ( ~ c2_1(a20)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f761,plain,
    ( spl0_113
  <=> c2_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1996,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f842,f937]) ).

fof(f937,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f936,plain,
    ( spl0_149
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2077,plain,
    ( spl0_51
    | spl0_57
    | ~ spl0_128
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2076]) ).

fof(f2076,plain,
    ( $false
    | spl0_51
    | spl0_57
    | ~ spl0_128
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2058,f483]) ).

fof(f483,plain,
    ( ~ c0_1(a14)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_57
  <=> c0_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2058,plain,
    ( c0_1(a14)
    | spl0_51
    | ~ spl0_128
    | ~ spl0_149 ),
    inference(resolution,[],[f1996,f453]) ).

fof(f453,plain,
    ( ~ c2_1(a14)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f451,plain,
    ( spl0_51
  <=> c2_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2072,plain,
    ( spl0_104
    | ~ spl0_128
    | ~ spl0_149
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2071]) ).

fof(f2071,plain,
    ( $false
    | spl0_104
    | ~ spl0_128
    | ~ spl0_149
    | spl0_156 ),
    inference(subsumption_resolution,[],[f2055,f718]) ).

fof(f2055,plain,
    ( c0_1(a48)
    | ~ spl0_128
    | ~ spl0_149
    | spl0_156 ),
    inference(resolution,[],[f1996,f1113]) ).

fof(f1113,plain,
    ( ~ c2_1(a48)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f2041,plain,
    ( spl0_25
    | spl0_31
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | spl0_25
    | spl0_31
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2026,f323]) ).

fof(f2026,plain,
    ( c2_1(a18)
    | spl0_31
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(resolution,[],[f1995,f353]) ).

fof(f1995,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f915,f937]) ).

fof(f2037,plain,
    ( spl0_83
    | spl0_90
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2036,plain,
    ( $false
    | spl0_83
    | spl0_90
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2024,f613]) ).

fof(f2024,plain,
    ( c2_1(a3)
    | spl0_90
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(resolution,[],[f1995,f648]) ).

fof(f1987,plain,
    ( spl0_85
    | spl0_87
    | spl0_89
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1986,plain,
    ( $false
    | spl0_85
    | spl0_87
    | spl0_89
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1985,f633]) ).

fof(f633,plain,
    ( ~ c0_1(a15)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl0_87
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1985,plain,
    ( c0_1(a15)
    | spl0_85
    | spl0_89
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1953,f623]) ).

fof(f623,plain,
    ( ~ c2_1(a15)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f621,plain,
    ( spl0_85
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1953,plain,
    ( c2_1(a15)
    | c0_1(a15)
    | spl0_89
    | ~ spl0_149 ),
    inference(resolution,[],[f937,f643]) ).

fof(f643,plain,
    ( ~ c1_1(a15)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f641,plain,
    ( spl0_89
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1981,plain,
    ( spl0_164
    | spl0_105
    | spl0_106
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1980,f936,f726,f721,f1615]) ).

fof(f721,plain,
    ( spl0_105
  <=> c0_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1980,plain,
    ( c2_1(a22)
    | spl0_105
    | spl0_106
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1946,f723]) ).

fof(f723,plain,
    ( ~ c0_1(a22)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f1946,plain,
    ( c2_1(a22)
    | c0_1(a22)
    | spl0_106
    | ~ spl0_149 ),
    inference(resolution,[],[f937,f728]) ).

fof(f1903,plain,
    ( ~ spl0_120
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1902]) ).

fof(f1902,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(resolution,[],[f1895,f798]) ).

fof(f1895,plain,
    ( ! [X1] : ~ c0_1(X1)
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1894,f1777]) ).

fof(f1777,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f831,f1698]) ).

fof(f1698,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f911,f870]) ).

fof(f870,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1894,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_135
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f964,f1698]) ).

fof(f964,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f963,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1808,plain,
    ( ~ spl0_160
    | ~ spl0_107
    | ~ spl0_124
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1804,f910,f869,f822,f731,f1433]) ).

fof(f1804,plain,
    ( ~ c1_1(a40)
    | ~ spl0_107
    | ~ spl0_124
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(resolution,[],[f1778,f733]) ).

fof(f1778,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_124
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f823,f1698]) ).

fof(f1791,plain,
    ( ~ spl0_95
    | ~ spl0_96
    | ~ spl0_122
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1782,f922,f814,f676,f671]) ).

fof(f922,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1782,plain,
    ( ~ c0_1(a43)
    | ~ spl0_96
    | ~ spl0_122
    | ~ spl0_147 ),
    inference(resolution,[],[f1776,f678]) ).

fof(f1776,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f923,f815]) ).

fof(f923,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f1790,plain,
    ( ~ spl0_165
    | ~ spl0_97
    | ~ spl0_122
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1785,f922,f814,f681,f1627]) ).

fof(f1785,plain,
    ( ~ c0_1(a1)
    | ~ spl0_97
    | ~ spl0_122
    | ~ spl0_147 ),
    inference(resolution,[],[f1776,f683]) ).

fof(f1769,plain,
    ( ~ spl0_165
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1753,f814,f681,f666,f1627]) ).

fof(f666,plain,
    ( spl0_94
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1753,plain,
    ( ~ c3_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_97
    | ~ spl0_122 ),
    inference(resolution,[],[f815,f683]) ).

fof(f1758,plain,
    ( ~ spl0_68
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1757]) ).

fof(f1757,plain,
    ( $false
    | ~ spl0_68
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1756,f568]) ).

fof(f568,plain,
    ( c0_1(a4)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_74
  <=> c0_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1756,plain,
    ( ~ c0_1(a4)
    | ~ spl0_68
    | ~ spl0_75
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1745,f538]) ).

fof(f538,plain,
    ( c3_1(a4)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f536,plain,
    ( spl0_68
  <=> c3_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1745,plain,
    ( ~ c3_1(a4)
    | ~ c0_1(a4)
    | ~ spl0_75
    | ~ spl0_122 ),
    inference(resolution,[],[f815,f573]) ).

fof(f573,plain,
    ( c1_1(a4)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl0_75
  <=> c1_1(a4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1715,plain,
    ( spl0_160
    | ~ spl0_107
    | ~ spl0_131
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1706,f869,f853,f731,f1433]) ).

fof(f1706,plain,
    ( c1_1(a40)
    | ~ spl0_107
    | ~ spl0_131
    | ~ spl0_135 ),
    inference(resolution,[],[f1644,f733]) ).

fof(f1644,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_131
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f854,f870]) ).

fof(f1643,plain,
    ( spl0_30
    | ~ spl0_40
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1642]) ).

fof(f1642,plain,
    ( $false
    | spl0_30
    | ~ spl0_40
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1639,f348]) ).

fof(f348,plain,
    ( ~ c0_1(a64)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl0_30
  <=> c0_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1639,plain,
    ( c0_1(a64)
    | ~ spl0_40
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(resolution,[],[f398,f1500]) ).

fof(f1500,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f896,f892]) ).

fof(f1625,plain,
    ( spl0_59
    | ~ spl0_73
    | ~ spl0_135
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f1624]) ).

fof(f1624,plain,
    ( $false
    | spl0_59
    | ~ spl0_73
    | ~ spl0_135
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f1623,f563]) ).

fof(f1623,plain,
    ( ~ c0_1(a33)
    | spl0_59
    | ~ spl0_135
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f1622,f493]) ).

fof(f493,plain,
    ( ~ c1_1(a33)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f1622,plain,
    ( c1_1(a33)
    | ~ c0_1(a33)
    | ~ spl0_135
    | ~ spl0_159 ),
    inference(resolution,[],[f1428,f870]) ).

fof(f1428,plain,
    ( c2_1(a33)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f1592,plain,
    ( spl0_163
    | ~ spl0_63
    | ~ spl0_77
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1591,f822,f581,f511,f1582]) ).

fof(f1591,plain,
    ( c0_1(a13)
    | ~ spl0_63
    | ~ spl0_77
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1589,f513]) ).

fof(f1589,plain,
    ( c0_1(a13)
    | ~ c2_1(a13)
    | ~ spl0_77
    | ~ spl0_124 ),
    inference(resolution,[],[f583,f823]) ).

fof(f1576,plain,
    ( spl0_113
    | spl0_115
    | ~ spl0_126
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1575]) ).

fof(f1575,plain,
    ( $false
    | spl0_113
    | spl0_115
    | ~ spl0_126
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1567,f763]) ).

fof(f1567,plain,
    ( c2_1(a20)
    | spl0_115
    | ~ spl0_126
    | ~ spl0_133 ),
    inference(resolution,[],[f1440,f773]) ).

fof(f773,plain,
    ( ~ c3_1(a20)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl0_115
  <=> c3_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f862,f831]) ).

fof(f862,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f861,plain,
    ( spl0_133
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1550,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_134
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1549,plain,
    ( $false
    | spl0_115
    | spl0_116
    | ~ spl0_134
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1538,f778]) ).

fof(f1538,plain,
    ( c0_1(a20)
    | spl0_115
    | ~ spl0_134
    | ~ spl0_139 ),
    inference(resolution,[],[f1439,f773]) ).

fof(f1439,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f866,f892]) ).

fof(f1507,plain,
    ( ~ spl0_64
    | spl0_155
    | ~ spl0_62
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1505,f899,f506,f1081,f516]) ).

fof(f1081,plain,
    ( spl0_155
  <=> c1_1(a47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1505,plain,
    ( c1_1(a47)
    | ~ c3_1(a47)
    | ~ spl0_62
    | ~ spl0_141 ),
    inference(resolution,[],[f508,f900]) ).

fof(f1464,plain,
    ( spl0_24
    | spl0_162
    | ~ spl0_38
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1091,f830,f386,f1458,f316]) ).

fof(f316,plain,
    ( spl0_24
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1091,plain,
    ( c3_1(a25)
    | c2_1(a25)
    | ~ spl0_38
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f388]) ).

fof(f388,plain,
    ( c0_1(a25)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f1463,plain,
    ( spl0_24
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1462,f857,f401,f386,f316]) ).

fof(f1462,plain,
    ( c2_1(a25)
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1451,f388]) ).

fof(f1451,plain,
    ( c2_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_41
    | ~ spl0_132 ),
    inference(resolution,[],[f403,f858]) ).

fof(f1431,plain,
    ( spl0_56
    | ~ spl0_62
    | ~ spl0_124
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1430,f1081,f822,f506,f476]) ).

fof(f1430,plain,
    ( c0_1(a47)
    | ~ spl0_62
    | ~ spl0_124
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1418,f508]) ).

fof(f1418,plain,
    ( c0_1(a47)
    | ~ c2_1(a47)
    | ~ spl0_124
    | ~ spl0_155 ),
    inference(resolution,[],[f1083,f823]) ).

fof(f1083,plain,
    ( c1_1(a47)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1406,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1405]) ).

fof(f1405,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1396,f383]) ).

fof(f1396,plain,
    ( ~ c0_1(a73)
    | ~ spl0_34
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(resolution,[],[f1394,f368]) ).

fof(f1394,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f911,f870]) ).

fof(f1389,plain,
    ( spl0_106
    | ~ spl0_108
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1388]) ).

fof(f1388,plain,
    ( $false
    | spl0_106
    | ~ spl0_108
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1372,f728]) ).

fof(f1372,plain,
    ( c1_1(a22)
    | ~ spl0_108
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(resolution,[],[f1364,f738]) ).

fof(f1364,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f908,f900]) ).

fof(f1363,plain,
    ( spl0_84
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_132
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1362]) ).

fof(f1362,plain,
    ( $false
    | spl0_84
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_132
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1361,f618]) ).

fof(f618,plain,
    ( ~ c2_1(a1)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f1361,plain,
    ( c2_1(a1)
    | spl0_84
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_132
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1349,f1303]) ).

fof(f1303,plain,
    ( ~ c0_1(a1)
    | spl0_84
    | ~ spl0_97
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1299,f618]) ).

fof(f1299,plain,
    ( c2_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_97
    | ~ spl0_132 ),
    inference(resolution,[],[f858,f683]) ).

fof(f1349,plain,
    ( c0_1(a1)
    | c2_1(a1)
    | ~ spl0_94
    | ~ spl0_142 ),
    inference(resolution,[],[f904,f668]) ).

fof(f668,plain,
    ( c3_1(a1)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f904,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl0_142
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1285,plain,
    ( spl0_84
    | ~ spl0_97
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1284]) ).

fof(f1284,plain,
    ( $false
    | spl0_84
    | ~ spl0_97
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1281,f618]) ).

fof(f1281,plain,
    ( c2_1(a1)
    | ~ spl0_97
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(resolution,[],[f1271,f683]) ).

fof(f1271,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f858,f1233]) ).

fof(f1233,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f842,f823]) ).

fof(f1256,plain,
    ( spl0_104
    | ~ spl0_109
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1255]) ).

fof(f1255,plain,
    ( $false
    | spl0_104
    | ~ spl0_109
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1250,f718]) ).

fof(f1250,plain,
    ( c0_1(a48)
    | ~ spl0_109
    | ~ spl0_124
    | ~ spl0_128 ),
    inference(resolution,[],[f1233,f743]) ).

fof(f1248,plain,
    ( spl0_32
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | spl0_32
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1216,f1200]) ).

fof(f1200,plain,
    ( ~ c0_1(a28)
    | spl0_32
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1196,f358]) ).

fof(f358,plain,
    ( ~ c1_1(a28)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f356,plain,
    ( spl0_32
  <=> c1_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1196,plain,
    ( c1_1(a28)
    | ~ c0_1(a28)
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(resolution,[],[f870,f363]) ).

fof(f363,plain,
    ( c2_1(a28)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f361,plain,
    ( spl0_33
  <=> c2_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1216,plain,
    ( c0_1(a28)
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1212,f373]) ).

fof(f373,plain,
    ( c3_1(a28)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl0_35
  <=> c3_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1212,plain,
    ( c0_1(a28)
    | ~ c3_1(a28)
    | ~ spl0_33
    | ~ spl0_137 ),
    inference(resolution,[],[f880,f363]) ).

fof(f1245,plain,
    ( ~ spl0_94
    | ~ spl0_97
    | ~ spl0_122
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1244]) ).

fof(f1244,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_122
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1237,f668]) ).

fof(f1237,plain,
    ( ~ c3_1(a1)
    | ~ spl0_97
    | ~ spl0_122
    | ~ spl0_140 ),
    inference(resolution,[],[f1232,f683]) ).

fof(f1232,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_122
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f896,f815]) ).

fof(f1243,plain,
    ( ~ spl0_64
    | ~ spl0_122
    | ~ spl0_140
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1242]) ).

fof(f1242,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_122
    | ~ spl0_140
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1236,f518]) ).

fof(f1236,plain,
    ( ~ c3_1(a47)
    | ~ spl0_122
    | ~ spl0_140
    | ~ spl0_155 ),
    inference(resolution,[],[f1232,f1083]) ).

fof(f1229,plain,
    ( spl0_32
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1228]) ).

fof(f1228,plain,
    ( $false
    | spl0_32
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1227,f373]) ).

fof(f1227,plain,
    ( ~ c3_1(a28)
    | spl0_32
    | ~ spl0_33
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1223,f358]) ).

fof(f1223,plain,
    ( c1_1(a28)
    | ~ c3_1(a28)
    | ~ spl0_33
    | ~ spl0_141 ),
    inference(resolution,[],[f900,f363]) ).

fof(f1207,plain,
    ( ~ spl0_16
    | spl0_10
    | ~ spl0_11
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1195,f869,f251,f246,f276]) ).

fof(f276,plain,
    ( spl0_16
  <=> c0_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f246,plain,
    ( spl0_10
  <=> c1_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f251,plain,
    ( spl0_11
  <=> c2_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1195,plain,
    ( c1_1(a32)
    | ~ c0_1(a32)
    | ~ spl0_11
    | ~ spl0_135 ),
    inference(resolution,[],[f870,f253]) ).

fof(f253,plain,
    ( c2_1(a32)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f1177,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | ~ spl0_126
    | ~ spl0_129
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1176,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_126
    | ~ spl0_129
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1172,f253]) ).

fof(f1172,plain,
    ( ~ c2_1(a32)
    | ~ spl0_16
    | ~ spl0_126
    | ~ spl0_129
    | ~ spl0_150 ),
    inference(resolution,[],[f1150,f278]) ).

fof(f278,plain,
    ( c0_1(a32)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f1150,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_129
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f941,f1098]) ).

fof(f1098,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f846,f831]) ).

fof(f941,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1157,plain,
    ( spl0_117
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1156,plain,
    ( $false
    | spl0_117
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1155,f793]) ).

fof(f1155,plain,
    ( ~ c2_1(a19)
    | spl0_117
    | ~ spl0_121
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1152,f783]) ).

fof(f1152,plain,
    ( c0_1(a19)
    | ~ c2_1(a19)
    | ~ spl0_121
    | ~ spl0_124 ),
    inference(resolution,[],[f803,f823]) ).

fof(f1149,plain,
    ( spl0_32
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_125
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | spl0_32
    | ~ spl0_33
    | ~ spl0_35
    | ~ spl0_125
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1147,f1033]) ).

fof(f1033,plain,
    ( c0_1(a28)
    | spl0_32
    | ~ spl0_35
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1032,f358]) ).

fof(f1032,plain,
    ( c1_1(a28)
    | c0_1(a28)
    | ~ spl0_35
    | ~ spl0_125 ),
    inference(resolution,[],[f373,f827]) ).

fof(f1147,plain,
    ( ~ c0_1(a28)
    | spl0_32
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1139,f358]) ).

fof(f1139,plain,
    ( c1_1(a28)
    | ~ c0_1(a28)
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(resolution,[],[f870,f363]) ).

fof(f1110,plain,
    ( spl0_101
    | spl0_104
    | ~ spl0_109
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1109,plain,
    ( $false
    | spl0_101
    | spl0_104
    | ~ spl0_109
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1076,f1054]) ).

fof(f1054,plain,
    ( c2_1(a48)
    | spl0_101
    | ~ spl0_109
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f1053,f703]) ).

fof(f703,plain,
    ( ~ c3_1(a48)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f1053,plain,
    ( c3_1(a48)
    | c2_1(a48)
    | ~ spl0_109
    | ~ spl0_123 ),
    inference(resolution,[],[f743,f819]) ).

fof(f819,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f818,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1076,plain,
    ( ~ c2_1(a48)
    | spl0_104
    | ~ spl0_109
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1070,f718]) ).

fof(f1070,plain,
    ( c0_1(a48)
    | ~ c2_1(a48)
    | ~ spl0_109
    | ~ spl0_124 ),
    inference(resolution,[],[f823,f743]) ).

fof(f1079,plain,
    ( spl0_56
    | ~ spl0_62
    | ~ spl0_64
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1078]) ).

fof(f1078,plain,
    ( $false
    | spl0_56
    | ~ spl0_62
    | ~ spl0_64
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1077,f508]) ).

fof(f1077,plain,
    ( ~ c2_1(a47)
    | spl0_56
    | ~ spl0_64
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1071,f478]) ).

fof(f1071,plain,
    ( c0_1(a47)
    | ~ c2_1(a47)
    | spl0_56
    | ~ spl0_64
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(resolution,[],[f823,f996]) ).

fof(f996,plain,
    ( c1_1(a47)
    | spl0_56
    | ~ spl0_64
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f989,f478]) ).

fof(f989,plain,
    ( c1_1(a47)
    | c0_1(a47)
    | ~ spl0_64
    | ~ spl0_125 ),
    inference(resolution,[],[f827,f518]) ).

fof(f1067,plain,
    ( ~ spl0_70
    | ~ spl0_154
    | ~ spl0_76
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1001,f814,f576,f1064,f546]) ).

fof(f546,plain,
    ( spl0_70
  <=> c0_1(a23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1001,plain,
    ( ~ c3_1(a23)
    | ~ c0_1(a23)
    | ~ spl0_76
    | ~ spl0_122 ),
    inference(resolution,[],[f815,f578]) ).

fof(f1050,plain,
    ( spl0_54
    | ~ spl0_73
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1049]) ).

fof(f1049,plain,
    ( $false
    | spl0_54
    | ~ spl0_73
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1039,f468]) ).

fof(f468,plain,
    ( ~ c3_1(a33)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f1039,plain,
    ( c3_1(a33)
    | ~ spl0_73
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(resolution,[],[f1035,f563]) ).

fof(f1035,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f846,f831]) ).

fof(f1048,plain,
    ( spl0_27
    | ~ spl0_37
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1047]) ).

fof(f1047,plain,
    ( $false
    | spl0_27
    | ~ spl0_37
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1037,f333]) ).

fof(f1037,plain,
    ( c3_1(a73)
    | ~ spl0_37
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(resolution,[],[f1035,f383]) ).

fof(f1046,plain,
    ( ~ spl0_70
    | ~ spl0_76
    | ~ spl0_122
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1045,plain,
    ( $false
    | ~ spl0_70
    | ~ spl0_76
    | ~ spl0_122
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1036,f1004]) ).

fof(f1004,plain,
    ( ~ c3_1(a23)
    | ~ spl0_70
    | ~ spl0_76
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1001,f548]) ).

fof(f548,plain,
    ( c0_1(a23)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f1036,plain,
    ( c3_1(a23)
    | ~ spl0_70
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(resolution,[],[f1035,f548]) ).

fof(f1030,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_107
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1029,plain,
    ( $false
    | spl0_102
    | spl0_103
    | ~ spl0_107
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1028,f708]) ).

fof(f1028,plain,
    ( c3_1(a40)
    | spl0_103
    | ~ spl0_107
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1025,f713]) ).

fof(f1025,plain,
    ( c0_1(a40)
    | c3_1(a40)
    | ~ spl0_107
    | ~ spl0_127 ),
    inference(resolution,[],[f837,f733]) ).

fof(f999,plain,
    ( spl0_105
    | spl0_106
    | ~ spl0_108
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f998,plain,
    ( $false
    | spl0_105
    | spl0_106
    | ~ spl0_108
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f997,f723]) ).

fof(f997,plain,
    ( c0_1(a22)
    | spl0_106
    | ~ spl0_108
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f992,f728]) ).

fof(f992,plain,
    ( c1_1(a22)
    | c0_1(a22)
    | ~ spl0_108
    | ~ spl0_125 ),
    inference(resolution,[],[f827,f738]) ).

fof(f988,plain,
    ( spl0_26
    | spl0_28
    | ~ spl0_39
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f987]) ).

fof(f987,plain,
    ( $false
    | spl0_26
    | spl0_28
    | ~ spl0_39
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f986,f328]) ).

fof(f986,plain,
    ( c2_1(a8)
    | spl0_28
    | ~ spl0_39
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f983,f338]) ).

fof(f983,plain,
    ( c3_1(a8)
    | c2_1(a8)
    | ~ spl0_39
    | ~ spl0_123 ),
    inference(resolution,[],[f819,f393]) ).

fof(f980,plain,
    ( spl0_138
    | spl0_149
    | spl0_123
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f202,f818,f936,f886]) ).

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

fof(f178,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f979,plain,
    ( spl0_139
    | spl0_123
    | spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f202,f874,f818,f891]) ).

fof(f183,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f976,plain,
    ( spl0_134
    | spl0_126
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f202,f853,f830,f865]) ).

fof(f180,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f969,plain,
    ( spl0_128
    | spl0_125
    | spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f202,f899,f826,f841]) ).

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

fof(f968,plain,
    ( spl0_132
    | spl0_125
    | spl0_137
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f202,f879,f826,f857]) ).

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

fof(f967,plain,
    ( spl0_152
    | spl0_140
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f202,f853,f895,f963]) ).

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

fof(f966,plain,
    ( spl0_147
    | spl0_143
    | spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f202,f899,f907,f922]) ).

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

fof(f959,plain,
    ( spl0_126
    | spl0_127
    | spl0_144
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f202,f910,f836,f830]) ).

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

fof(f958,plain,
    ( spl0_132
    | spl0_141
    | spl0_135
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f202,f869,f899,f857]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2)
      | ~ c1_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

fof(f957,plain,
    ( spl0_145
    | spl0_135
    | spl0_150
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f202,f940,f869,f914]) ).

fof(f197,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2)
      | c2_1(X2)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f954,plain,
    ( spl0_140
    | spl0_141
    | spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f202,f849,f899,f895]) ).

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

fof(f953,plain,
    ( spl0_144
    | spl0_141
    | spl0_135
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f200,f202,f869,f899,f910]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c1_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

fof(f946,plain,
    ( spl0_140
    | spl0_137
    | spl0_110
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f202,f746,f879,f895]) ).

fof(f746,plain,
    ( spl0_110
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f945,plain,
    ( spl0_139
    | spl0_122
    | spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f202,f696,f814,f891]) ).

fof(f696,plain,
    ( spl0_100
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f944,plain,
    ( spl0_126
    | spl0_122
    | spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f202,f696,f814,f830]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f943,plain,
    ( spl0_136
    | spl0_141
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f202,f686,f899,f874]) ).

fof(f686,plain,
    ( spl0_98
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp22
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f942,plain,
    ( spl0_137
    | spl0_150
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f202,f691,f940,f879]) ).

fof(f691,plain,
    ( spl0_99
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f938,plain,
    ( spl0_149
    | spl0_123
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f202,f586,f818,f936]) ).

fof(f586,plain,
    ( spl0_78
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f154,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f929,plain,
    ( spl0_138
    | spl0_135
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f202,f591,f869,f886]) ).

fof(f591,plain,
    ( spl0_79
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f928,plain,
    ( spl0_136
    | spl0_124
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f202,f596,f822,f874]) ).

fof(f596,plain,
    ( spl0_80
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f927,plain,
    ( spl0_126
    | spl0_130
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f202,f591,f849,f830]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f926,plain,
    ( spl0_125
    | spl0_141
    | spl0_81
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f202,f601,f899,f826]) ).

fof(f601,plain,
    ( spl0_81
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f925,plain,
    ( spl0_139
    | spl0_128
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f202,f411,f841,f891]) ).

fof(f411,plain,
    ( spl0_43
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

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

fof(f916,plain,
    ( spl0_145
    | spl0_141
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f202,f446,f899,f914]) ).

fof(f446,plain,
    ( spl0_50
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f912,plain,
    ( spl0_143
    | spl0_144
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f202,f426,f910,f907]) ).

fof(f426,plain,
    ( spl0_46
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f905,plain,
    ( spl0_142
    | spl0_137
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f202,f406,f879,f903]) ).

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

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ 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',clause162) ).

fof(f897,plain,
    ( spl0_126
    | spl0_140
    | spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f202,f301,f895,f830]) ).

fof(f301,plain,
    ( spl0_21
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f893,plain,
    ( spl0_139
    | spl0_129
    | spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f202,f311,f845,f891]) ).

fof(f311,plain,
    ( spl0_23
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f889,plain,
    ( spl0_125
    | spl0_124
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f202,f291,f822,f826]) ).

fof(f291,plain,
    ( spl0_19
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f882,plain,
    ( spl0_128
    | spl0_100
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f202,f586,f696,f841]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp13
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f877,plain,
    ( spl0_133
    | spl0_112
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f202,f416,f756,f861]) ).

fof(f756,plain,
    ( spl0_112
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f416,plain,
    ( spl0_44
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f130,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp27
      | hskp1
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f872,plain,
    ( spl0_135
    | spl0_111
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f202,f426,f751,f869]) ).

fof(f751,plain,
    ( spl0_111
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp11
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f839,plain,
    ( spl0_126
    | spl0_98
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f202,f286,f686,f830]) ).

fof(f286,plain,
    ( spl0_18
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp22
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f838,plain,
    ( spl0_127
    | spl0_100
    | spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f202,f301,f696,f836]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp13
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f834,plain,
    ( spl0_124
    | spl0_100
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f202,f306,f696,f822]) ).

fof(f306,plain,
    ( spl0_22
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp13
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f833,plain,
    ( spl0_124
    | spl0_49
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f202,f291,f441,f822]) ).

fof(f441,plain,
    ( spl0_49
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp17
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f824,plain,
    ( spl0_124
    | spl0_45
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f202,f216,f421,f822]) ).

fof(f421,plain,
    ( spl0_45
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f216,plain,
    ( spl0_4
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp26
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f820,plain,
    ( spl0_123
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f202,f691,f818]) ).

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

fof(f816,plain,
    ( spl0_122
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f202,f296,f814]) ).

fof(f296,plain,
    ( spl0_20
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f812,plain,
    ( spl0_111
    | spl0_98
    | spl0_78 ),
    inference(avatar_split_clause,[],[f37,f586,f686,f751]) ).

fof(f37,axiom,
    ( hskp0
    | hskp22
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f811,plain,
    ( spl0_110
    | spl0_111
    | spl0_46 ),
    inference(avatar_split_clause,[],[f38,f426,f751,f746]) ).

fof(f38,axiom,
    ( hskp21
    | hskp11
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f810,plain,
    ( spl0_98
    | spl0_99
    | spl0_49 ),
    inference(avatar_split_clause,[],[f36,f441,f691,f686]) ).

fof(f36,axiom,
    ( hskp17
    | hskp19
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f808,plain,
    ( spl0_110
    | spl0_79
    | spl0_23 ),
    inference(avatar_split_clause,[],[f32,f311,f591,f746]) ).

fof(f32,axiom,
    ( hskp14
    | hskp20
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f805,plain,
    ( spl0_82
    | spl0_44 ),
    inference(avatar_split_clause,[],[f1,f416,f606]) ).

fof(f606,plain,
    ( spl0_82
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1,axiom,
    ( hskp27
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f804,plain,
    ( spl0_121
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f72,f751,f801]) ).

fof(f72,axiom,
    ( ~ hskp11
    | c1_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f799,plain,
    ( spl0_120
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f81,f756,f796]) ).

fof(f81,axiom,
    ( ~ hskp1
    | c0_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f794,plain,
    ( spl0_119
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f73,f751,f791]) ).

fof(f73,axiom,
    ( ~ hskp11
    | c2_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f789,plain,
    ( ~ spl0_118
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f126,f756,f786]) ).

fof(f126,axiom,
    ( ~ hskp1
    | ~ c1_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f784,plain,
    ( ~ spl0_117
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f105,f751,f781]) ).

fof(f105,axiom,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f779,plain,
    ( ~ spl0_116
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f102,f746,f776]) ).

fof(f102,axiom,
    ( ~ hskp12
    | ~ c0_1(a20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f774,plain,
    ( ~ spl0_115
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f104,f746,f771]) ).

fof(f104,axiom,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f769,plain,
    ( ~ spl0_114
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f127,f756,f766]) ).

fof(f127,axiom,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f764,plain,
    ( ~ spl0_113
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f103,f746,f761]) ).

fof(f103,axiom,
    ( ~ hskp12
    | ~ c2_1(a20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f754,plain,
    ( spl0_1
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f20,f751,f202]) ).

fof(f20,axiom,
    ( ~ hskp11
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f749,plain,
    ( spl0_1
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f19,f746,f202]) ).

fof(f19,axiom,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f744,plain,
    ( spl0_109
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f56,f686,f741]) ).

fof(f56,axiom,
    ( ~ hskp22
    | c1_1(a48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f739,plain,
    ( spl0_108
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f71,f696,f736]) ).

fof(f71,axiom,
    ( ~ hskp13
    | c3_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f734,plain,
    ( spl0_107
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f61,f691,f731]) ).

fof(f61,axiom,
    ( ~ hskp19
    | c2_1(a40) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f729,plain,
    ( ~ spl0_106
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f101,f696,f726]) ).

fof(f101,axiom,
    ( ~ hskp13
    | ~ c1_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f724,plain,
    ( ~ spl0_105
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f100,f696,f721]) ).

fof(f100,axiom,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f719,plain,
    ( ~ spl0_104
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f88,f686,f716]) ).

fof(f88,axiom,
    ( ~ hskp22
    | ~ c0_1(a48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f714,plain,
    ( ~ spl0_103
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f92,f691,f711]) ).

fof(f92,axiom,
    ( ~ hskp19
    | ~ c0_1(a40) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f709,plain,
    ( ~ spl0_102
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f93,f691,f706]) ).

fof(f93,axiom,
    ( ~ hskp19
    | ~ c3_1(a40) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f704,plain,
    ( ~ spl0_101
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f89,f686,f701]) ).

fof(f89,axiom,
    ( ~ hskp22
    | ~ c3_1(a48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f684,plain,
    ( spl0_97
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f82,f586,f681]) ).

fof(f82,axiom,
    ( ~ hskp0
    | c1_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f679,plain,
    ( spl0_96
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f60,f591,f676]) ).

fof(f60,axiom,
    ( ~ hskp20
    | c1_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f674,plain,
    ( spl0_95
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f59,f591,f671]) ).

fof(f59,axiom,
    ( ~ hskp20
    | c0_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f669,plain,
    ( spl0_94
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f83,f586,f666]) ).

fof(f83,axiom,
    ( ~ hskp0
    | c3_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f664,plain,
    ( spl0_93
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f80,f601,f661]) ).

fof(f80,axiom,
    ( ~ hskp2
    | c3_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f659,plain,
    ( spl0_92
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f79,f596,f656]) ).

fof(f79,axiom,
    ( ~ hskp3
    | c2_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f654,plain,
    ( ~ spl0_91
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f123,f596,f651]) ).

fof(f123,axiom,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f649,plain,
    ( ~ spl0_90
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f124,f601,f646]) ).

fof(f124,axiom,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f644,plain,
    ( ~ spl0_89
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f110,f606,f641]) ).

fof(f110,axiom,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f639,plain,
    ( ~ spl0_88
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f122,f596,f636]) ).

fof(f122,axiom,
    ( ~ hskp3
    | ~ c0_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f634,plain,
    ( ~ spl0_87
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f109,f606,f631]) ).

fof(f109,axiom,
    ( ~ hskp9
    | ~ c0_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f629,plain,
    ( ~ spl0_86
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f91,f591,f626]) ).

fof(f91,axiom,
    ( ~ hskp20
    | ~ c3_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f624,plain,
    ( ~ spl0_85
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f111,f606,f621]) ).

fof(f111,axiom,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f619,plain,
    ( ~ spl0_84
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f128,f586,f616]) ).

fof(f128,axiom,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f614,plain,
    ( ~ spl0_83
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f125,f601,f611]) ).

fof(f125,axiom,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f584,plain,
    ( spl0_77
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f45,f416,f581]) ).

fof(f45,axiom,
    ( ~ hskp27
    | c1_1(a13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f579,plain,
    ( spl0_76
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f43,f406,f576]) ).

fof(f43,axiom,
    ( ~ hskp28
    | c1_1(a23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f574,plain,
    ( spl0_75
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f49,f421,f571]) ).

fof(f49,axiom,
    ( ~ hskp26
    | c1_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f569,plain,
    ( spl0_74
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f48,f421,f566]) ).

fof(f48,axiom,
    ( ~ hskp26
    | c0_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f564,plain,
    ( spl0_73
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f64,f441,f561]) ).

fof(f64,axiom,
    ( ~ hskp17
    | c0_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f549,plain,
    ( spl0_70
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f42,f406,f546]) ).

fof(f42,axiom,
    ( ~ hskp28
    | c0_1(a23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f539,plain,
    ( spl0_68
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f50,f421,f536]) ).

fof(f50,axiom,
    ( ~ hskp26
    | c3_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f529,plain,
    ( spl0_66
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f47,f416,f526]) ).

fof(f47,axiom,
    ( ~ hskp27
    | c3_1(a13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f519,plain,
    ( spl0_64
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f58,f426,f516]) ).

fof(f58,axiom,
    ( ~ hskp21
    | c3_1(a47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f514,plain,
    ( spl0_63
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f46,f416,f511]) ).

fof(f46,axiom,
    ( ~ hskp27
    | c2_1(a13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f509,plain,
    ( spl0_62
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f57,f426,f506]) ).

fof(f57,axiom,
    ( ~ hskp21
    | c2_1(a47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f504,plain,
    ( spl0_61
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f44,f406,f501]) ).

fof(f44,axiom,
    ( ~ hskp28
    | c2_1(a23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f499,plain,
    ( ~ spl0_60
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f120,f411,f496]) ).

fof(f120,axiom,
    ( ~ hskp4
    | ~ c1_1(a7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f494,plain,
    ( ~ spl0_59
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f95,f441,f491]) ).

fof(f95,axiom,
    ( ~ hskp17
    | ~ c1_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f484,plain,
    ( ~ spl0_57
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f112,f446,f481]) ).

fof(f112,axiom,
    ( ~ hskp8
    | ~ c0_1(a14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f479,plain,
    ( ~ spl0_56
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f90,f426,f476]) ).

fof(f90,axiom,
    ( ~ hskp21
    | ~ c0_1(a47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f474,plain,
    ( ~ spl0_55
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f119,f411,f471]) ).

fof(f119,axiom,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f469,plain,
    ( ~ spl0_54
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f96,f441,f466]) ).

fof(f96,axiom,
    ( ~ hskp17
    | ~ c3_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f454,plain,
    ( ~ spl0_51
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f113,f446,f451]) ).

fof(f113,axiom,
    ( ~ hskp8
    | ~ c2_1(a14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f429,plain,
    ( spl0_1
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f10,f426,f202]) ).

fof(f10,axiom,
    ( ~ hskp21
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f404,plain,
    ( spl0_41
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f70,f311,f401]) ).

fof(f70,axiom,
    ( ~ hskp14
    | c1_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f399,plain,
    ( spl0_40
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f53,f286,f396]) ).

fof(f53,axiom,
    ( ~ hskp24
    | c1_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f394,plain,
    ( spl0_39
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f78,f291,f391]) ).

fof(f78,axiom,
    ( ~ hskp5
    | c1_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f389,plain,
    ( spl0_38
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f69,f311,f386]) ).

fof(f69,axiom,
    ( ~ hskp14
    | c0_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f384,plain,
    ( spl0_37
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f51,f296,f381]) ).

fof(f51,axiom,
    ( ~ hskp25
    | c0_1(a73) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f379,plain,
    ( spl0_36
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f54,f286,f376]) ).

fof(f54,axiom,
    ( ~ hskp24
    | c3_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f374,plain,
    ( spl0_35
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f68,f301,f371]) ).

fof(f68,axiom,
    ( ~ hskp15
    | c3_1(a28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f369,plain,
    ( spl0_34
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f52,f296,f366]) ).

fof(f52,axiom,
    ( ~ hskp25
    | c2_1(a73) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f364,plain,
    ( spl0_33
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f67,f301,f361]) ).

fof(f67,axiom,
    ( ~ hskp15
    | c2_1(a28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f359,plain,
    ( ~ spl0_32
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f98,f301,f356]) ).

fof(f98,axiom,
    ( ~ hskp15
    | ~ c1_1(a28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f354,plain,
    ( ~ spl0_31
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f106,f306,f351]) ).

fof(f106,axiom,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f349,plain,
    ( ~ spl0_30
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f85,f286,f346]) ).

fof(f85,axiom,
    ( ~ hskp24
    | ~ c0_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f344,plain,
    ( ~ spl0_29
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f108,f306,f341]) ).

fof(f108,axiom,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f339,plain,
    ( ~ spl0_28
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f118,f291,f336]) ).

fof(f118,axiom,
    ( ~ hskp5
    | ~ c3_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f334,plain,
    ( ~ spl0_27
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f84,f296,f331]) ).

fof(f84,axiom,
    ( ~ hskp25
    | ~ c3_1(a73) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f329,plain,
    ( ~ spl0_26
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f117,f291,f326]) ).

fof(f117,axiom,
    ( ~ hskp5
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f324,plain,
    ( ~ spl0_25
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f107,f306,f321]) ).

fof(f107,axiom,
    ( ~ hskp10
    | ~ c2_1(a18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f319,plain,
    ( ~ spl0_24
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f99,f311,f316]) ).

fof(f99,axiom,
    ( ~ hskp14
    | ~ c2_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f279,plain,
    ( spl0_16
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f65,f216,f276]) ).

fof(f65,axiom,
    ( ~ hskp16
    | c0_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f254,plain,
    ( spl0_11
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f66,f216,f251]) ).

fof(f66,axiom,
    ( ~ hskp16
    | c2_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f249,plain,
    ( ~ spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f97,f216,f246]) ).

fof(f97,axiom,
    ( ~ hskp16
    | ~ c1_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYN500-1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38  % Computer : n008.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Fri May  3 17:18:23 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.16/0.38  % (27704)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (27710)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.40  % (27709)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.40  % (27711)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)
% 0.16/0.40  % (27705)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.40  Detected minimum model sizes of [1]
% 0.23/0.40  Detected maximum model sizes of [30]
% 0.23/0.40  TRYING [1]
% 0.23/0.40  TRYING [2]
% 0.23/0.40  Detected minimum model sizes of [1]
% 0.23/0.40  Detected maximum model sizes of [30]
% 0.23/0.40  TRYING [1]
% 0.23/0.41  TRYING [2]
% 0.23/0.41  TRYING [3]
% 0.23/0.41  % (27707)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)
% 0.23/0.41  TRYING [3]
% 0.23/0.41  % (27708)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.23/0.41  TRYING [4]
% 0.23/0.42  TRYING [4]
% 0.23/0.42  % (27706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.43  Detected minimum model sizes of [1]
% 0.23/0.43  Detected maximum model sizes of [30]
% 0.23/0.43  TRYING [1]
% 0.23/0.43  TRYING [2]
% 0.23/0.43  Detected minimum model sizes of [1]
% 0.23/0.43  Detected maximum model sizes of [30]
% 0.23/0.43  TRYING [1]
% 0.23/0.43  % (27710)First to succeed.
% 0.23/0.43  TRYING [3]
% 0.23/0.43  TRYING [2]
% 0.23/0.43  TRYING [5]
% 0.23/0.43  TRYING [3]
% 0.23/0.43  TRYING [4]
% 0.23/0.44  % (27710)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27704"
% 0.23/0.44  % (27710)Refutation found. Thanks to Tanya!
% 0.23/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.44  % (27710)------------------------------
% 0.23/0.44  % (27710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.44  % (27710)Termination reason: Refutation
% 0.23/0.44  
% 0.23/0.44  % (27710)Memory used [KB]: 1775
% 0.23/0.44  % (27710)Time elapsed: 0.038 s
% 0.23/0.44  % (27710)Instructions burned: 72 (million)
% 0.23/0.44  % (27704)Success in time 0.058 s
%------------------------------------------------------------------------------