TSTP Solution File: SYN450-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN450-1 : 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 : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:29 EDT 2024

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  234
% Syntax   : Number of formulae    :  672 (   1 unt;   0 def)
%            Number of atoms       : 2275 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2868 (1265   ~;1477   |;   0   &)
%                                         ( 126 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  156 ( 155 usr; 152 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  137 ( 137   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3319,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f229,f234,f239,f244,f259,f269,f284,f319,f324,f329,f334,f339,f344,f354,f364,f369,f374,f384,f434,f459,f464,f469,f474,f479,f494,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f569,f574,f579,f584,f599,f604,f639,f649,f659,f664,f669,f679,f684,f689,f694,f699,f704,f714,f724,f729,f734,f739,f744,f749,f754,f759,f764,f769,f774,f779,f784,f788,f789,f790,f798,f802,f806,f814,f815,f820,f829,f830,f839,f847,f848,f852,f856,f861,f863,f864,f865,f872,f873,f885,f889,f890,f895,f903,f904,f905,f914,f917,f921,f926,f927,f928,f929,f934,f947,f958,f970,f992,f1019,f1022,f1034,f1058,f1077,f1108,f1136,f1151,f1175,f1182,f1217,f1263,f1335,f1660,f1720,f1733,f1756,f1768,f1869,f1994,f2026,f2027,f2171,f2174,f2193,f2256,f2337,f2368,f2373,f2388,f2391,f2524,f2555,f2654,f2658,f2722,f2724,f2754,f2771,f2775,f2806,f2810,f2889,f2933,f2950,f3009,f3026,f3027,f3046,f3048,f3052,f3077,f3132,f3149,f3178,f3182,f3183,f3184,f3205,f3232,f3267,f3316]) ).

fof(f3316,plain,
    ( ~ spl0_121
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_130
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3315]) ).

fof(f3315,plain,
    ( $false
    | ~ spl0_121
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_130
    | spl0_158 ),
    inference(subsumption_resolution,[],[f3309,f783]) ).

fof(f783,plain,
    ( c1_1(a643)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f781,plain,
    ( spl0_121
  <=> c1_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3309,plain,
    ( ~ c1_1(a643)
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_130
    | spl0_158 ),
    inference(resolution,[],[f3302,f1352]) ).

fof(f1352,plain,
    ( ~ c3_1(a643)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1350]) ).

fof(f1350,plain,
    ( spl0_158
  <=> c3_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3302,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f805,f3195]) ).

fof(f3195,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f823,f827]) ).

fof(f827,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f826,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f823,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f822,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f805,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f804,plain,
    ( spl0_125
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3267,plain,
    ( spl0_162
    | spl0_57
    | ~ spl0_81
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f3266,f796,f581,f461,f1516]) ).

fof(f1516,plain,
    ( spl0_162
  <=> c1_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f461,plain,
    ( spl0_57
  <=> c2_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f581,plain,
    ( spl0_81
  <=> c3_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f796,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f3266,plain,
    ( c1_1(a652)
    | spl0_57
    | ~ spl0_81
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f3253,f463]) ).

fof(f463,plain,
    ( ~ c2_1(a652)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f3253,plain,
    ( c1_1(a652)
    | c2_1(a652)
    | ~ spl0_81
    | ~ spl0_123 ),
    inference(resolution,[],[f797,f583]) ).

fof(f583,plain,
    ( c3_1(a652)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f797,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f3232,plain,
    ( spl0_165
    | ~ spl0_72
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f3225,f826,f822,f536,f1872]) ).

fof(f1872,plain,
    ( spl0_165
  <=> c3_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f536,plain,
    ( spl0_72
  <=> c0_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3225,plain,
    ( c3_1(a660)
    | ~ spl0_72
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(resolution,[],[f3195,f538]) ).

fof(f538,plain,
    ( c0_1(a660)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f3205,plain,
    ( spl0_156
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f3204,f826,f361,f331,f1219]) ).

fof(f1219,plain,
    ( spl0_156
  <=> c3_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f331,plain,
    ( spl0_31
  <=> c0_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f361,plain,
    ( spl0_37
  <=> c2_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3204,plain,
    ( c3_1(a656)
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f3203,f363]) ).

fof(f363,plain,
    ( c2_1(a656)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f3203,plain,
    ( c3_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(resolution,[],[f333,f827]) ).

fof(f333,plain,
    ( c0_1(a656)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f3184,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | ~ spl0_32
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f3056,f792,f336,f381,f366]) ).

fof(f366,plain,
    ( spl0_38
  <=> c2_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f381,plain,
    ( spl0_41
  <=> c1_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f336,plain,
    ( spl0_32
  <=> c0_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f792,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3056,plain,
    ( ~ c1_1(a671)
    | ~ c2_1(a671)
    | ~ spl0_32
    | ~ spl0_122 ),
    inference(resolution,[],[f793,f338]) ).

fof(f338,plain,
    ( c0_1(a671)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f793,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f3183,plain,
    ( ~ spl0_163
    | spl0_12
    | ~ spl0_18
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2978,f826,f266,f236,f1687]) ).

fof(f1687,plain,
    ( spl0_163
  <=> c2_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f236,plain,
    ( spl0_12
  <=> c3_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f266,plain,
    ( spl0_18
  <=> c0_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2978,plain,
    ( c3_1(a661)
    | ~ c2_1(a661)
    | ~ spl0_18
    | ~ spl0_130 ),
    inference(resolution,[],[f827,f268]) ).

fof(f268,plain,
    ( c0_1(a661)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f3182,plain,
    ( ~ spl0_120
    | ~ spl0_121
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3181]) ).

fof(f3181,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3174,f783]) ).

fof(f3174,plain,
    ( ~ c1_1(a643)
    | ~ spl0_120
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(resolution,[],[f3134,f778]) ).

fof(f778,plain,
    ( c2_1(a643)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f776,plain,
    ( spl0_120
  <=> c2_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3134,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f813,f888]) ).

fof(f888,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f813,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3178,plain,
    ( ~ spl0_115
    | ~ spl0_117
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3177]) ).

fof(f3177,plain,
    ( $false
    | ~ spl0_115
    | ~ spl0_117
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3169,f763]) ).

fof(f763,plain,
    ( c1_1(a686)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f761,plain,
    ( spl0_117
  <=> c1_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3169,plain,
    ( ~ c1_1(a686)
    | ~ spl0_115
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(resolution,[],[f3134,f753]) ).

fof(f753,plain,
    ( c2_1(a686)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl0_115
  <=> c2_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3149,plain,
    ( spl0_56
    | ~ spl0_78
    | ~ spl0_124
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f3148]) ).

fof(f3148,plain,
    ( $false
    | spl0_56
    | ~ spl0_78
    | ~ spl0_124
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3138,f458]) ).

fof(f458,plain,
    ( ~ c2_1(a682)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl0_56
  <=> c2_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3138,plain,
    ( c2_1(a682)
    | ~ spl0_78
    | ~ spl0_124
    | ~ spl0_138 ),
    inference(resolution,[],[f3133,f568]) ).

fof(f568,plain,
    ( c3_1(a682)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_78
  <=> c3_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f3133,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_124
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f868,f801]) ).

fof(f801,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl0_124
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f868,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl0_138
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3132,plain,
    ( spl0_30
    | ~ spl0_31
    | ~ spl0_128
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f3131]) ).

fof(f3131,plain,
    ( $false
    | spl0_30
    | ~ spl0_31
    | ~ spl0_128
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3130,f1221]) ).

fof(f1221,plain,
    ( c3_1(a656)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f3130,plain,
    ( ~ c3_1(a656)
    | spl0_30
    | ~ spl0_31
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3126,f328]) ).

fof(f328,plain,
    ( ~ c1_1(a656)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f326,plain,
    ( spl0_30
  <=> c1_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f3126,plain,
    ( c1_1(a656)
    | ~ c3_1(a656)
    | ~ spl0_31
    | ~ spl0_128 ),
    inference(resolution,[],[f819,f333]) ).

fof(f819,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f818,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f3077,plain,
    ( ~ spl0_165
    | spl0_58
    | ~ spl0_72
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f3076,f800,f536,f466,f1872]) ).

fof(f466,plain,
    ( spl0_58
  <=> c2_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3076,plain,
    ( ~ c3_1(a660)
    | spl0_58
    | ~ spl0_72
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f3069,f468]) ).

fof(f468,plain,
    ( ~ c2_1(a660)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f3069,plain,
    ( c2_1(a660)
    | ~ c3_1(a660)
    | ~ spl0_72
    | ~ spl0_124 ),
    inference(resolution,[],[f801,f538]) ).

fof(f3052,plain,
    ( ~ spl0_158
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3040,f887,f781,f776,f1350]) ).

fof(f3040,plain,
    ( ~ c2_1(a643)
    | ~ c3_1(a643)
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(resolution,[],[f888,f783]) ).

fof(f3048,plain,
    ( ~ spl0_75
    | ~ spl0_79
    | ~ spl0_84
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3047,f887,f596,f571,f551]) ).

fof(f551,plain,
    ( spl0_75
  <=> c2_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f571,plain,
    ( spl0_79
  <=> c3_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f596,plain,
    ( spl0_84
  <=> c1_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3047,plain,
    ( ~ c2_1(a688)
    | ~ spl0_79
    | ~ spl0_84
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3030,f573]) ).

fof(f573,plain,
    ( c3_1(a688)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f3030,plain,
    ( ~ c2_1(a688)
    | ~ c3_1(a688)
    | ~ spl0_84
    | ~ spl0_143 ),
    inference(resolution,[],[f888,f598]) ).

fof(f598,plain,
    ( c1_1(a688)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f3046,plain,
    ( ~ spl0_152
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3031,f887,f381,f366,f995]) ).

fof(f995,plain,
    ( spl0_152
  <=> c3_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3031,plain,
    ( ~ c2_1(a671)
    | ~ c3_1(a671)
    | ~ spl0_41
    | ~ spl0_143 ),
    inference(resolution,[],[f888,f383]) ).

fof(f383,plain,
    ( c1_1(a671)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f3027,plain,
    ( ~ spl0_38
    | spl0_152
    | ~ spl0_32
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2975,f826,f336,f995,f366]) ).

fof(f2975,plain,
    ( c3_1(a671)
    | ~ c2_1(a671)
    | ~ spl0_32
    | ~ spl0_130 ),
    inference(resolution,[],[f827,f338]) ).

fof(f3026,plain,
    ( spl0_57
    | ~ spl0_69
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3025]) ).

fof(f3025,plain,
    ( $false
    | spl0_57
    | ~ spl0_69
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3024,f523]) ).

fof(f523,plain,
    ( c0_1(a652)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl0_69
  <=> c0_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f3024,plain,
    ( ~ c0_1(a652)
    | spl0_57
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3019,f463]) ).

fof(f3019,plain,
    ( c2_1(a652)
    | ~ c0_1(a652)
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(resolution,[],[f871,f1518]) ).

fof(f1518,plain,
    ( c1_1(a652)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1516]) ).

fof(f871,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f870,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3009,plain,
    ( spl0_154
    | spl0_97
    | ~ spl0_105
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3006,f845,f701,f661,f1178]) ).

fof(f1178,plain,
    ( spl0_154
  <=> c2_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f661,plain,
    ( spl0_97
  <=> c3_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f701,plain,
    ( spl0_105
  <=> c1_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f845,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f3006,plain,
    ( c2_1(a647)
    | spl0_97
    | ~ spl0_105
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2996,f663]) ).

fof(f663,plain,
    ( ~ c3_1(a647)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f2996,plain,
    ( c3_1(a647)
    | c2_1(a647)
    | ~ spl0_105
    | ~ spl0_134 ),
    inference(resolution,[],[f846,f703]) ).

fof(f703,plain,
    ( c1_1(a647)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f846,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f2950,plain,
    ( spl0_111
    | ~ spl0_117
    | ~ spl0_122
    | ~ spl0_125
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2949]) ).

fof(f2949,plain,
    ( $false
    | spl0_111
    | ~ spl0_117
    | ~ spl0_122
    | ~ spl0_125
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2940,f763]) ).

fof(f2940,plain,
    ( ~ c1_1(a686)
    | spl0_111
    | ~ spl0_122
    | ~ spl0_125
    | ~ spl0_139 ),
    inference(resolution,[],[f2936,f733]) ).

fof(f733,plain,
    ( ~ c3_1(a686)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f731,plain,
    ( spl0_111
  <=> c3_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2936,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_122
    | ~ spl0_125
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f805,f2906]) ).

fof(f2906,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f871,f793]) ).

fof(f2933,plain,
    ( spl0_159
    | ~ spl0_101
    | ~ spl0_103
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2932,f800,f691,f681,f1421]) ).

fof(f1421,plain,
    ( spl0_159
  <=> c2_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f681,plain,
    ( spl0_101
  <=> c0_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f691,plain,
    ( spl0_103
  <=> c3_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2932,plain,
    ( c2_1(a642)
    | ~ spl0_101
    | ~ spl0_103
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f2931,f693]) ).

fof(f693,plain,
    ( c3_1(a642)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f2931,plain,
    ( c2_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_101
    | ~ spl0_124 ),
    inference(resolution,[],[f801,f683]) ).

fof(f683,plain,
    ( c0_1(a642)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f2889,plain,
    ( spl0_56
    | spl0_68
    | ~ spl0_78
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f2888]) ).

fof(f2888,plain,
    ( $false
    | spl0_56
    | spl0_68
    | ~ spl0_78
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f2887,f458]) ).

fof(f2887,plain,
    ( c2_1(a682)
    | spl0_68
    | ~ spl0_78
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f2874,f518]) ).

fof(f518,plain,
    ( ~ c1_1(a682)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f516,plain,
    ( spl0_68
  <=> c1_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2874,plain,
    ( c1_1(a682)
    | c2_1(a682)
    | ~ spl0_78
    | ~ spl0_123 ),
    inference(resolution,[],[f797,f568]) ).

fof(f2810,plain,
    ( spl0_67
    | ~ spl0_76
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2809]) ).

fof(f2809,plain,
    ( $false
    | spl0_67
    | ~ spl0_76
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2803,f513]) ).

fof(f513,plain,
    ( ~ c1_1(a641)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl0_67
  <=> c1_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2803,plain,
    ( c1_1(a641)
    | ~ spl0_76
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(resolution,[],[f2772,f558]) ).

fof(f558,plain,
    ( c2_1(a641)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl0_76
  <=> c2_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2772,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f902,f851]) ).

fof(f851,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f902,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f901,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2806,plain,
    ( spl0_65
    | ~ spl0_74
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2805]) ).

fof(f2805,plain,
    ( $false
    | spl0_65
    | ~ spl0_74
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2796,f503]) ).

fof(f503,plain,
    ( ~ c1_1(a665)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl0_65
  <=> c1_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2796,plain,
    ( c1_1(a665)
    | ~ spl0_74
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(resolution,[],[f2772,f548]) ).

fof(f548,plain,
    ( c2_1(a665)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl0_74
  <=> c2_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2775,plain,
    ( spl0_58
    | spl0_165
    | ~ spl0_72
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2384,f822,f536,f1872,f466]) ).

fof(f2384,plain,
    ( c3_1(a660)
    | c2_1(a660)
    | ~ spl0_72
    | ~ spl0_129 ),
    inference(resolution,[],[f823,f538]) ).

fof(f2771,plain,
    ( ~ spl0_159
    | spl0_98
    | ~ spl0_103
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2770,f850,f691,f666,f1421]) ).

fof(f666,plain,
    ( spl0_98
  <=> c1_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2770,plain,
    ( ~ c2_1(a642)
    | spl0_98
    | ~ spl0_103
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2590,f668]) ).

fof(f668,plain,
    ( ~ c1_1(a642)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f2590,plain,
    ( c1_1(a642)
    | ~ c2_1(a642)
    | ~ spl0_103
    | ~ spl0_135 ),
    inference(resolution,[],[f851,f693]) ).

fof(f2754,plain,
    ( ~ spl0_115
    | ~ spl0_117
    | ~ spl0_122
    | ~ spl0_136
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2753]) ).

fof(f2753,plain,
    ( $false
    | ~ spl0_115
    | ~ spl0_117
    | ~ spl0_122
    | ~ spl0_136
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2736,f763]) ).

fof(f2736,plain,
    ( ~ c1_1(a686)
    | ~ spl0_115
    | ~ spl0_122
    | ~ spl0_136
    | ~ spl0_150 ),
    inference(resolution,[],[f2729,f753]) ).

fof(f2729,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_122
    | ~ spl0_136
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f793,f2661]) ).

fof(f2661,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_136
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f925,f855]) ).

fof(f855,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f854,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f925,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_150
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2724,plain,
    ( spl0_67
    | ~ spl0_76
    | ~ spl0_80
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2723,f850,f576,f556,f511]) ).

fof(f576,plain,
    ( spl0_80
  <=> c3_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2723,plain,
    ( c1_1(a641)
    | ~ spl0_76
    | ~ spl0_80
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2591,f558]) ).

fof(f2591,plain,
    ( c1_1(a641)
    | ~ c2_1(a641)
    | ~ spl0_80
    | ~ spl0_135 ),
    inference(resolution,[],[f851,f578]) ).

fof(f578,plain,
    ( c3_1(a641)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f2722,plain,
    ( spl0_96
    | spl0_100
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2721]) ).

fof(f2721,plain,
    ( $false
    | spl0_96
    | spl0_100
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2712,f678]) ).

fof(f678,plain,
    ( ~ c1_1(a646)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f676,plain,
    ( spl0_100
  <=> c1_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2712,plain,
    ( c1_1(a646)
    | spl0_96
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(resolution,[],[f2662,f658]) ).

fof(f658,plain,
    ( ~ c3_1(a646)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl0_96
  <=> c3_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2662,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f860,f877]) ).

fof(f877,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f860,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f859,plain,
    ( spl0_137
  <=> ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2658,plain,
    ( spl0_98
    | ~ spl0_101
    | ~ spl0_141
    | spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2657]) ).

fof(f2657,plain,
    ( $false
    | spl0_98
    | ~ spl0_101
    | ~ spl0_141
    | spl0_159 ),
    inference(subsumption_resolution,[],[f2656,f1423]) ).

fof(f1423,plain,
    ( ~ c2_1(a642)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f2656,plain,
    ( c2_1(a642)
    | spl0_98
    | ~ spl0_101
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2646,f668]) ).

fof(f2646,plain,
    ( c1_1(a642)
    | c2_1(a642)
    | ~ spl0_101
    | ~ spl0_141 ),
    inference(resolution,[],[f880,f683]) ).

fof(f880,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f879,plain,
    ( spl0_141
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2654,plain,
    ( spl0_58
    | spl0_66
    | ~ spl0_72
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2653]) ).

fof(f2653,plain,
    ( $false
    | spl0_58
    | spl0_66
    | ~ spl0_72
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2652,f468]) ).

fof(f2652,plain,
    ( c2_1(a660)
    | spl0_66
    | ~ spl0_72
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2643,f508]) ).

fof(f508,plain,
    ( ~ c1_1(a660)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f506,plain,
    ( spl0_66
  <=> c1_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2643,plain,
    ( c1_1(a660)
    | c2_1(a660)
    | ~ spl0_72
    | ~ spl0_141 ),
    inference(resolution,[],[f880,f538]) ).

fof(f2555,plain,
    ( spl0_59
    | ~ spl0_85
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2554]) ).

fof(f2554,plain,
    ( $false
    | spl0_59
    | ~ spl0_85
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2539,f603]) ).

fof(f603,plain,
    ( c1_1(a676)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f601,plain,
    ( spl0_85
  <=> c1_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2539,plain,
    ( ~ c1_1(a676)
    | spl0_59
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(resolution,[],[f2525,f473]) ).

fof(f473,plain,
    ( ~ c2_1(a676)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl0_59
  <=> c2_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2525,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f846,f842]) ).

fof(f842,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f841,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2524,plain,
    ( spl0_98
    | ~ spl0_101
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_132
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2523]) ).

fof(f2523,plain,
    ( $false
    | spl0_98
    | ~ spl0_101
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_132
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2515,f668]) ).

fof(f2515,plain,
    ( c1_1(a642)
    | ~ spl0_101
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_132
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(resolution,[],[f2502,f683]) ).

fof(f2502,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_132
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f880,f2445]) ).

fof(f2445,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_132
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f851,f2433]) ).

fof(f2433,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f838,f2393]) ).

fof(f2393,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f827,f823]) ).

fof(f838,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2391,plain,
    ( spl0_163
    | spl0_12
    | ~ spl0_18
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2383,f822,f266,f236,f1687]) ).

fof(f2383,plain,
    ( c3_1(a661)
    | c2_1(a661)
    | ~ spl0_18
    | ~ spl0_129 ),
    inference(resolution,[],[f823,f268]) ).

fof(f2388,plain,
    ( spl0_170
    | spl0_59
    | ~ spl0_70
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2387,f822,f526,f471,f2370]) ).

fof(f2370,plain,
    ( spl0_170
  <=> c3_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f526,plain,
    ( spl0_70
  <=> c0_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2387,plain,
    ( c3_1(a676)
    | spl0_59
    | ~ spl0_70
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2380,f473]) ).

fof(f2380,plain,
    ( c3_1(a676)
    | c2_1(a676)
    | ~ spl0_70
    | ~ spl0_129 ),
    inference(resolution,[],[f823,f528]) ).

fof(f528,plain,
    ( c0_1(a676)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f2373,plain,
    ( ~ spl0_170
    | spl0_59
    | ~ spl0_85
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1258,f841,f601,f471,f2370]) ).

fof(f1258,plain,
    ( c2_1(a676)
    | ~ c3_1(a676)
    | ~ spl0_85
    | ~ spl0_133 ),
    inference(resolution,[],[f603,f842]) ).

fof(f2368,plain,
    ( spl0_98
    | ~ spl0_101
    | ~ spl0_103
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2367]) ).

fof(f2367,plain,
    ( $false
    | spl0_98
    | ~ spl0_101
    | ~ spl0_103
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2366,f693]) ).

fof(f2366,plain,
    ( ~ c3_1(a642)
    | spl0_98
    | ~ spl0_101
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2349,f668]) ).

fof(f2349,plain,
    ( c1_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_101
    | ~ spl0_128 ),
    inference(resolution,[],[f819,f683]) ).

fof(f2337,plain,
    ( ~ spl0_30
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2336]) ).

fof(f2336,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2335,f363]) ).

fof(f2335,plain,
    ( ~ c2_1(a656)
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2323,f327]) ).

fof(f327,plain,
    ( c1_1(a656)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f2323,plain,
    ( ~ c1_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_31
    | ~ spl0_122 ),
    inference(resolution,[],[f793,f333]) ).

fof(f2256,plain,
    ( spl0_119
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2255]) ).

fof(f2255,plain,
    ( $false
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2254,f778]) ).

fof(f2254,plain,
    ( ~ c2_1(a643)
    | spl0_119
    | ~ spl0_121
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2245,f773]) ).

fof(f773,plain,
    ( ~ c0_1(a643)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl0_119
  <=> c0_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2245,plain,
    ( c0_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_121
    | ~ spl0_150 ),
    inference(resolution,[],[f925,f783]) ).

fof(f2193,plain,
    ( spl0_109
    | ~ spl0_116
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2192]) ).

fof(f2192,plain,
    ( $false
    | spl0_109
    | ~ spl0_116
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2185,f758]) ).

fof(f758,plain,
    ( c3_1(a651)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f756,plain,
    ( spl0_116
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2185,plain,
    ( ~ c3_1(a651)
    | spl0_109
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(resolution,[],[f2175,f723]) ).

fof(f723,plain,
    ( ~ c0_1(a651)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f721,plain,
    ( spl0_109
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2175,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f868,f833]) ).

fof(f833,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2174,plain,
    ( spl0_8
    | spl0_13
    | spl0_16
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2173]) ).

fof(f2173,plain,
    ( $false
    | spl0_8
    | spl0_13
    | spl0_16
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2172,f243]) ).

fof(f243,plain,
    ( ~ c3_1(a691)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl0_13
  <=> c3_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2172,plain,
    ( c3_1(a691)
    | spl0_8
    | spl0_16
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2169,f258]) ).

fof(f258,plain,
    ( ~ c1_1(a691)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl0_16
  <=> c1_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2169,plain,
    ( c1_1(a691)
    | c3_1(a691)
    | spl0_8
    | ~ spl0_137 ),
    inference(resolution,[],[f860,f218]) ).

fof(f218,plain,
    ( ~ c0_1(a691)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl0_8
  <=> c0_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2171,plain,
    ( spl0_146
    | ~ spl0_130
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2170,f859,f826,f901]) ).

fof(f2170,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_137 ),
    inference(duplicate_literal_removal,[],[f2159]) ).

fof(f2159,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_137 ),
    inference(resolution,[],[f860,f827]) ).

fof(f2027,plain,
    ( spl0_146
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2024,f876,f837,f901]) ).

fof(f2024,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f2007]) ).

fof(f2007,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(resolution,[],[f877,f838]) ).

fof(f2026,plain,
    ( spl0_146
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2025,f876,f854,f901]) ).

fof(f2025,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(duplicate_literal_removal,[],[f2005]) ).

fof(f2005,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(resolution,[],[f877,f855]) ).

fof(f1994,plain,
    ( ~ spl0_154
    | spl0_92
    | spl0_97
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1993,f837,f661,f636,f1178]) ).

fof(f636,plain,
    ( spl0_92
  <=> c0_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1993,plain,
    ( ~ c2_1(a647)
    | spl0_92
    | spl0_97
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1992,f663]) ).

fof(f1992,plain,
    ( c3_1(a647)
    | ~ c2_1(a647)
    | spl0_92
    | ~ spl0_132 ),
    inference(resolution,[],[f638,f838]) ).

fof(f638,plain,
    ( ~ c0_1(a647)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f1869,plain,
    ( spl0_119
    | ~ spl0_120
    | ~ spl0_132
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1868]) ).

fof(f1868,plain,
    ( $false
    | spl0_119
    | ~ spl0_120
    | ~ spl0_132
    | spl0_158 ),
    inference(subsumption_resolution,[],[f1867,f778]) ).

fof(f1867,plain,
    ( ~ c2_1(a643)
    | spl0_119
    | ~ spl0_132
    | spl0_158 ),
    inference(subsumption_resolution,[],[f1852,f1352]) ).

fof(f1852,plain,
    ( c3_1(a643)
    | ~ c2_1(a643)
    | spl0_119
    | ~ spl0_132 ),
    inference(resolution,[],[f838,f773]) ).

fof(f1768,plain,
    ( ~ spl0_115
    | ~ spl0_117
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1767]) ).

fof(f1767,plain,
    ( $false
    | ~ spl0_115
    | ~ spl0_117
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1761,f753]) ).

fof(f1761,plain,
    ( ~ c2_1(a686)
    | ~ spl0_117
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(resolution,[],[f1760,f763]) ).

fof(f1760,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f925,f1734]) ).

fof(f1734,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f793,f871]) ).

fof(f1756,plain,
    ( ~ spl0_31
    | ~ spl0_37
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1755]) ).

fof(f1755,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1748,f363]) ).

fof(f1748,plain,
    ( ~ c2_1(a656)
    | ~ spl0_31
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(resolution,[],[f1741,f333]) ).

fof(f1741,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f920,f1734]) ).

fof(f920,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_149
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1733,plain,
    ( spl0_60
    | spl0_64
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1732]) ).

fof(f1732,plain,
    ( $false
    | spl0_60
    | spl0_64
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1731,f543]) ).

fof(f543,plain,
    ( c0_1(a648)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl0_73
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1731,plain,
    ( ~ c0_1(a648)
    | spl0_60
    | spl0_64
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1728,f478]) ).

fof(f478,plain,
    ( ~ c2_1(a648)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_60
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1728,plain,
    ( c2_1(a648)
    | ~ c0_1(a648)
    | spl0_64
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(resolution,[],[f1684,f871]) ).

fof(f1684,plain,
    ( c1_1(a648)
    | spl0_64
    | ~ spl0_73
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1676,f498]) ).

fof(f498,plain,
    ( ~ c3_1(a648)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl0_64
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1676,plain,
    ( c1_1(a648)
    | c3_1(a648)
    | ~ spl0_73
    | ~ spl0_140 ),
    inference(resolution,[],[f877,f543]) ).

fof(f1720,plain,
    ( spl0_60
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1719]) ).

fof(f1719,plain,
    ( $false
    | spl0_60
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1705,f478]) ).

fof(f1705,plain,
    ( c2_1(a648)
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(resolution,[],[f1695,f543]) ).

fof(f1695,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f880,f871]) ).

fof(f1660,plain,
    ( spl0_60
    | ~ spl0_73
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1659]) ).

fof(f1659,plain,
    ( $false
    | spl0_60
    | ~ spl0_73
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1646,f478]) ).

fof(f1646,plain,
    ( c2_1(a648)
    | ~ spl0_73
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(resolution,[],[f1638,f543]) ).

fof(f1638,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f880,f1626]) ).

fof(f1626,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f871,f793]) ).

fof(f1335,plain,
    ( spl0_111
    | ~ spl0_115
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1334,plain,
    ( $false
    | spl0_111
    | ~ spl0_115
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1325,f733]) ).

fof(f1325,plain,
    ( c3_1(a686)
    | ~ spl0_115
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(resolution,[],[f1240,f753]) ).

fof(f1240,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f838,f827]) ).

fof(f1263,plain,
    ( spl0_59
    | ~ spl0_70
    | ~ spl0_85
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1262,plain,
    ( $false
    | spl0_59
    | ~ spl0_70
    | ~ spl0_85
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1261,f528]) ).

fof(f1261,plain,
    ( ~ c0_1(a676)
    | spl0_59
    | ~ spl0_85
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1259,f473]) ).

fof(f1259,plain,
    ( c2_1(a676)
    | ~ c0_1(a676)
    | ~ spl0_85
    | ~ spl0_139 ),
    inference(resolution,[],[f603,f871]) ).

fof(f1217,plain,
    ( ~ spl0_33
    | ~ spl0_39
    | ~ spl0_128
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1199,f887,f841,f818,f371,f341]) ).

fof(f341,plain,
    ( spl0_33
  <=> c0_1(a655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f371,plain,
    ( spl0_39
  <=> c3_1(a655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1199,plain,
    ( ~ c0_1(a655)
    | ~ spl0_39
    | ~ spl0_128
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(resolution,[],[f1184,f373]) ).

fof(f373,plain,
    ( c3_1(a655)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1184,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f819,f1153]) ).

fof(f1153,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f888,f842]) ).

fof(f1182,plain,
    ( ~ spl0_102
    | ~ spl0_104
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1160,f887,f841,f696,f686]) ).

fof(f686,plain,
    ( spl0_102
  <=> c3_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f696,plain,
    ( spl0_104
  <=> c1_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1160,plain,
    ( ~ c3_1(a645)
    | ~ spl0_104
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(resolution,[],[f1153,f698]) ).

fof(f698,plain,
    ( c1_1(a645)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1175,plain,
    ( ~ spl0_79
    | ~ spl0_84
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1154,f887,f841,f596,f571]) ).

fof(f1154,plain,
    ( ~ c3_1(a688)
    | ~ spl0_84
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(resolution,[],[f1153,f598]) ).

fof(f1151,plain,
    ( spl0_109
    | spl0_113
    | ~ spl0_116
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1150]) ).

fof(f1150,plain,
    ( $false
    | spl0_109
    | spl0_113
    | ~ spl0_116
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1149,f758]) ).

fof(f1149,plain,
    ( ~ c3_1(a651)
    | spl0_109
    | spl0_113
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1142,f743]) ).

fof(f743,plain,
    ( ~ c1_1(a651)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl0_113
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1142,plain,
    ( c1_1(a651)
    | ~ c3_1(a651)
    | spl0_109
    | ~ spl0_142 ),
    inference(resolution,[],[f884,f723]) ).

fof(f884,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f883,plain,
    ( spl0_142
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1136,plain,
    ( spl0_30
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1135]) ).

fof(f1135,plain,
    ( $false
    | spl0_30
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1134,f363]) ).

fof(f1134,plain,
    ( ~ c2_1(a656)
    | spl0_30
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1124,f328]) ).

fof(f1124,plain,
    ( c1_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_130
    | ~ spl0_135 ),
    inference(resolution,[],[f851,f1076]) ).

fof(f1076,plain,
    ( c3_1(a656)
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1067,f363]) ).

fof(f1067,plain,
    ( c3_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(resolution,[],[f827,f333]) ).

fof(f1108,plain,
    ( spl0_57
    | ~ spl0_69
    | ~ spl0_81
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1107,plain,
    ( $false
    | spl0_57
    | ~ spl0_69
    | ~ spl0_81
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1106,f583]) ).

fof(f1106,plain,
    ( ~ c3_1(a652)
    | spl0_57
    | ~ spl0_69
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1102,f463]) ).

fof(f1102,plain,
    ( c2_1(a652)
    | ~ c3_1(a652)
    | ~ spl0_69
    | ~ spl0_124 ),
    inference(resolution,[],[f801,f523]) ).

fof(f1077,plain,
    ( ~ spl0_77
    | spl0_63
    | ~ spl0_71
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1073,f826,f531,f491,f561]) ).

fof(f561,plain,
    ( spl0_77
  <=> c2_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f491,plain,
    ( spl0_63
  <=> c3_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f531,plain,
    ( spl0_71
  <=> c0_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1073,plain,
    ( ~ c2_1(a657)
    | spl0_63
    | ~ spl0_71
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1066,f493]) ).

fof(f493,plain,
    ( ~ c3_1(a657)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f1066,plain,
    ( c3_1(a657)
    | ~ c2_1(a657)
    | ~ spl0_71
    | ~ spl0_130 ),
    inference(resolution,[],[f827,f533]) ).

fof(f533,plain,
    ( c0_1(a657)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f1058,plain,
    ( spl0_28
    | spl0_29
    | ~ spl0_35
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1057]) ).

fof(f1057,plain,
    ( $false
    | spl0_28
    | spl0_29
    | ~ spl0_35
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1056,f353]) ).

fof(f353,plain,
    ( c2_1(a695)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl0_35
  <=> c2_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1056,plain,
    ( ~ c2_1(a695)
    | spl0_28
    | spl0_29
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1048,f323]) ).

fof(f323,plain,
    ( ~ c3_1(a695)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl0_29
  <=> c3_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1048,plain,
    ( c3_1(a695)
    | ~ c2_1(a695)
    | spl0_28
    | ~ spl0_132 ),
    inference(resolution,[],[f838,f318]) ).

fof(f318,plain,
    ( ~ c0_1(a695)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl0_28
  <=> c0_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1034,plain,
    ( spl0_28
    | spl0_29
    | ~ spl0_35
    | ~ spl0_125
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1033]) ).

fof(f1033,plain,
    ( $false
    | spl0_28
    | spl0_29
    | ~ spl0_35
    | ~ spl0_125
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1032,f353]) ).

fof(f1032,plain,
    ( ~ c2_1(a695)
    | spl0_28
    | spl0_29
    | ~ spl0_125
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1026,f980]) ).

fof(f980,plain,
    ( ~ c1_1(a695)
    | spl0_28
    | spl0_29
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f972,f323]) ).

fof(f972,plain,
    ( c3_1(a695)
    | ~ c1_1(a695)
    | spl0_28
    | ~ spl0_125 ),
    inference(resolution,[],[f805,f318]) ).

fof(f1026,plain,
    ( c1_1(a695)
    | ~ c2_1(a695)
    | spl0_28
    | ~ spl0_136 ),
    inference(resolution,[],[f855,f318]) ).

fof(f1022,plain,
    ( spl0_110
    | spl0_112
    | ~ spl0_114
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1021,plain,
    ( $false
    | spl0_110
    | spl0_112
    | ~ spl0_114
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1020,f748]) ).

fof(f748,plain,
    ( c2_1(a675)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f746,plain,
    ( spl0_114
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1020,plain,
    ( ~ c2_1(a675)
    | spl0_110
    | spl0_112
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1011,f738]) ).

fof(f738,plain,
    ( ~ c1_1(a675)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f736,plain,
    ( spl0_112
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1011,plain,
    ( c1_1(a675)
    | ~ c2_1(a675)
    | spl0_110
    | ~ spl0_146 ),
    inference(resolution,[],[f902,f728]) ).

fof(f728,plain,
    ( ~ c3_1(a675)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl0_110
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1019,plain,
    ( spl0_28
    | spl0_29
    | ~ spl0_35
    | ~ spl0_125
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1018,plain,
    ( $false
    | spl0_28
    | spl0_29
    | ~ spl0_35
    | ~ spl0_125
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1017,f353]) ).

fof(f1017,plain,
    ( ~ c2_1(a695)
    | spl0_28
    | spl0_29
    | ~ spl0_125
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1009,f980]) ).

fof(f1009,plain,
    ( c1_1(a695)
    | ~ c2_1(a695)
    | spl0_29
    | ~ spl0_146 ),
    inference(resolution,[],[f902,f323]) ).

fof(f992,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_21
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f989,f845,f281,f231,f226]) ).

fof(f226,plain,
    ( spl0_10
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f231,plain,
    ( spl0_11
  <=> c3_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f281,plain,
    ( spl0_21
  <=> c1_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f989,plain,
    ( c2_1(a672)
    | spl0_11
    | ~ spl0_21
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f985,f233]) ).

fof(f233,plain,
    ( ~ c3_1(a672)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f985,plain,
    ( c3_1(a672)
    | c2_1(a672)
    | ~ spl0_21
    | ~ spl0_134 ),
    inference(resolution,[],[f846,f283]) ).

fof(f283,plain,
    ( c1_1(a672)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f970,plain,
    ( spl0_94
    | ~ spl0_102
    | ~ spl0_104
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f969]) ).

fof(f969,plain,
    ( $false
    | spl0_94
    | ~ spl0_102
    | ~ spl0_104
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f968,f688]) ).

fof(f688,plain,
    ( c3_1(a645)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f968,plain,
    ( ~ c3_1(a645)
    | spl0_94
    | ~ spl0_104
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f965,f648]) ).

fof(f648,plain,
    ( ~ c2_1(a645)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl0_94
  <=> c2_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f965,plain,
    ( c2_1(a645)
    | ~ c3_1(a645)
    | ~ spl0_104
    | ~ spl0_133 ),
    inference(resolution,[],[f842,f698]) ).

fof(f958,plain,
    ( spl0_92
    | spl0_97
    | ~ spl0_105
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f957]) ).

fof(f957,plain,
    ( $false
    | spl0_92
    | spl0_97
    | ~ spl0_105
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f956,f703]) ).

fof(f956,plain,
    ( ~ c1_1(a647)
    | spl0_92
    | spl0_97
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f950,f663]) ).

fof(f950,plain,
    ( c3_1(a647)
    | ~ c1_1(a647)
    | spl0_92
    | ~ spl0_125 ),
    inference(resolution,[],[f805,f638]) ).

fof(f947,plain,
    ( spl0_60
    | spl0_64
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f944,f822,f541,f496,f476]) ).

fof(f944,plain,
    ( c2_1(a648)
    | spl0_64
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f941,f498]) ).

fof(f941,plain,
    ( c3_1(a648)
    | c2_1(a648)
    | ~ spl0_73
    | ~ spl0_129 ),
    inference(resolution,[],[f823,f543]) ).

fof(f934,plain,
    ( spl0_150
    | spl0_135
    | spl0_143
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f182,f887,f850,f924]) ).

fof(f182,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f929,plain,
    ( spl0_137
    | spl0_136
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f182,f870,f854,f859]) ).

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

fof(f928,plain,
    ( spl0_125
    | spl0_150
    | spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f182,f879,f924,f804]) ).

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

fof(f927,plain,
    ( spl0_146
    | spl0_135
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f182,f870,f850,f901]) ).

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

fof(f926,plain,
    ( spl0_135
    | spl0_150
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f182,f792,f924,f850]) ).

fof(f179,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | c0_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f921,plain,
    ( spl0_140
    | spl0_130
    | spl0_149
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f182,f919,f826,f876]) ).

fof(f177,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c3_1(X2)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f917,plain,
    ( spl0_134
    | spl0_142
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f182,f766,f883,f845]) ).

fof(f766,plain,
    ( spl0_118
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f914,plain,
    ( spl0_140
    | spl0_122
    | spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f182,f716,f792,f876]) ).

fof(f716,plain,
    ( spl0_108
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f905,plain,
    ( spl0_137
    | spl0_131
    | spl0_89
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f182,f621,f832,f859]) ).

fof(f621,plain,
    ( spl0_89
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f155,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f904,plain,
    ( spl0_142
    | spl0_143
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f182,f611,f887,f883]) ).

fof(f611,plain,
    ( spl0_87
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f903,plain,
    ( spl0_136
    | spl0_146
    | spl0_90
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f182,f626,f901,f854]) ).

fof(f626,plain,
    ( spl0_90
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f895,plain,
    ( spl0_125
    | spl0_133
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f182,f421,f841,f804]) ).

fof(f421,plain,
    ( spl0_49
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f890,plain,
    ( spl0_133
    | spl0_143
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f182,f391,f887,f841]) ).

fof(f391,plain,
    ( spl0_43
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f889,plain,
    ( spl0_143
    | spl0_129
    | spl0_45
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f182,f401,f822,f887]) ).

fof(f401,plain,
    ( spl0_45
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f885,plain,
    ( spl0_142
    | spl0_122
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f182,f391,f792,f883]) ).

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

fof(f873,plain,
    ( spl0_125
    | spl0_135
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f182,f306,f850,f804]) ).

fof(f306,plain,
    ( spl0_26
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp27
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f872,plain,
    ( spl0_138
    | spl0_139
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f182,f286,f870,f867]) ).

fof(f286,plain,
    ( spl0_22
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

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

fof(f865,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f182,f826,f822]) ).

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

fof(f864,plain,
    ( spl0_135
    | spl0_106
    | spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f182,f716,f706,f850]) ).

fof(f706,plain,
    ( spl0_106
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp17
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f863,plain,
    ( spl0_129
    | spl0_107
    | spl0_90
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f182,f626,f711,f822]) ).

fof(f711,plain,
    ( spl0_107
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp20
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f861,plain,
    ( spl0_137
    | spl0_118
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f182,f396,f766,f859]) ).

fof(f396,plain,
    ( spl0_44
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f128,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp2
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f856,plain,
    ( spl0_136
    | spl0_118
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f182,f421,f766,f854]) ).

fof(f130,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp2
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f852,plain,
    ( spl0_135
    | spl0_106
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f182,f426,f706,f850]) ).

fof(f426,plain,
    ( spl0_50
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp17
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f848,plain,
    ( spl0_130
    | spl0_107
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f182,f406,f711,f826]) ).

fof(f406,plain,
    ( spl0_46
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp20
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f847,plain,
    ( spl0_134
    | spl0_90
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f182,f386,f626,f845]) ).

fof(f386,plain,
    ( spl0_42
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp5
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f839,plain,
    ( spl0_132
    | spl0_87
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f182,f421,f611,f837]) ).

fof(f132,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp3
      | ~ c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f830,plain,
    ( spl0_128
    | spl0_86
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f182,f431,f606,f818]) ).

fof(f606,plain,
    ( spl0_86
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f431,plain,
    ( spl0_51
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp4
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f829,plain,
    ( spl0_130
    | spl0_89
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f182,f386,f621,f826]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp1
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f820,plain,
    ( spl0_128
    | spl0_106
    | spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f182,f301,f706,f818]) ).

fof(f301,plain,
    ( spl0_25
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp17
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f815,plain,
    ( spl0_124
    | spl0_90
    | spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f182,f296,f626,f800]) ).

fof(f296,plain,
    ( spl0_24
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp5
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f814,plain,
    ( spl0_127
    | spl0_42
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f182,f286,f386,f812]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp29
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f806,plain,
    ( spl0_125
    | spl0_46
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f182,f186,f406,f804]) ).

fof(f186,plain,
    ( spl0_2
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f131,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp12
      | ~ c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f802,plain,
    ( spl0_124
    | spl0_45
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f182,f196,f401,f800]) ).

fof(f196,plain,
    ( spl0_4
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp11
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f798,plain,
    ( spl0_123
    | spl0_25
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f182,f191,f301,f796]) ).

fof(f191,plain,
    ( spl0_3
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp28
      | ~ c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f790,plain,
    ( spl0_118
    | spl0_107
    | spl0_51 ),
    inference(avatar_split_clause,[],[f32,f431,f711,f766]) ).

fof(f32,axiom,
    ( hskp18
    | hskp20
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f789,plain,
    ( spl0_108
    | spl0_89
    | spl0_51 ),
    inference(avatar_split_clause,[],[f31,f431,f621,f716]) ).

fof(f31,axiom,
    ( hskp18
    | hskp1
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f788,plain,
    ( spl0_106
    | spl0_89
    | spl0_48 ),
    inference(avatar_split_clause,[],[f33,f416,f621,f706]) ).

fof(f416,plain,
    ( spl0_48
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f33,axiom,
    ( hskp14
    | hskp1
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f784,plain,
    ( spl0_121
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f75,f766,f781]) ).

fof(f75,axiom,
    ( ~ hskp2
    | c1_1(a643) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f779,plain,
    ( spl0_120
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f76,f766,f776]) ).

fof(f76,axiom,
    ( ~ hskp2
    | c2_1(a643) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f774,plain,
    ( ~ spl0_119
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f124,f766,f771]) ).

fof(f124,axiom,
    ( ~ hskp2
    | ~ c0_1(a643) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f769,plain,
    ( spl0_1
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f28,f766,f182]) ).

fof(f28,axiom,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

fof(f764,plain,
    ( spl0_117
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f53,f711,f761]) ).

fof(f53,axiom,
    ( ~ hskp20
    | c1_1(a686) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f759,plain,
    ( spl0_116
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f70,f716,f756]) ).

fof(f70,axiom,
    ( ~ hskp7
    | c3_1(a651) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f754,plain,
    ( spl0_115
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f54,f711,f751]) ).

fof(f54,axiom,
    ( ~ hskp20
    | c2_1(a686) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f749,plain,
    ( spl0_114
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f58,f706,f746]) ).

fof(f58,axiom,
    ( ~ hskp17
    | c2_1(a675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f744,plain,
    ( ~ spl0_113
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f115,f716,f741]) ).

fof(f115,axiom,
    ( ~ hskp7
    | ~ c1_1(a651) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f739,plain,
    ( ~ spl0_112
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f96,f706,f736]) ).

fof(f96,axiom,
    ( ~ hskp17
    | ~ c1_1(a675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f734,plain,
    ( ~ spl0_111
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f92,f711,f731]) ).

fof(f92,axiom,
    ( ~ hskp20
    | ~ c3_1(a686) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f729,plain,
    ( ~ spl0_110
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f97,f706,f726]) ).

fof(f97,axiom,
    ( ~ hskp17
    | ~ c3_1(a675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f724,plain,
    ( ~ spl0_109
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f114,f716,f721]) ).

fof(f114,axiom,
    ( ~ hskp7
    | ~ c0_1(a651) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f714,plain,
    ( spl0_1
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f10,f711,f182]) ).

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

fof(f704,plain,
    ( spl0_105
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f72,f626,f701]) ).

fof(f72,axiom,
    ( ~ hskp5
    | c1_1(a647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f699,plain,
    ( spl0_104
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f73,f611,f696]) ).

fof(f73,axiom,
    ( ~ hskp3
    | c1_1(a645) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f694,plain,
    ( spl0_103
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f78,f621,f691]) ).

fof(f78,axiom,
    ( ~ hskp1
    | c3_1(a642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f689,plain,
    ( spl0_102
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f74,f611,f686]) ).

fof(f74,axiom,
    ( ~ hskp3
    | c3_1(a645) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f684,plain,
    ( spl0_101
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f77,f621,f681]) ).

fof(f77,axiom,
    ( ~ hskp1
    | c0_1(a642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f679,plain,
    ( ~ spl0_100
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f120,f606,f676]) ).

fof(f120,axiom,
    ( ~ hskp4
    | ~ c1_1(a646) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f669,plain,
    ( ~ spl0_98
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f125,f621,f666]) ).

fof(f125,axiom,
    ( ~ hskp1
    | ~ c1_1(a642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f664,plain,
    ( ~ spl0_97
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f119,f626,f661]) ).

fof(f119,axiom,
    ( ~ hskp5
    | ~ c3_1(a647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f659,plain,
    ( ~ spl0_96
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f122,f606,f656]) ).

fof(f122,axiom,
    ( ~ hskp4
    | ~ c3_1(a646) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f649,plain,
    ( ~ spl0_94
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f123,f611,f646]) ).

fof(f123,axiom,
    ( ~ hskp3
    | ~ c2_1(a645) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f639,plain,
    ( ~ spl0_92
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f118,f626,f636]) ).

fof(f118,axiom,
    ( ~ hskp5
    | ~ c0_1(a647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f604,plain,
    ( spl0_85
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f57,f431,f601]) ).

fof(f57,axiom,
    ( ~ hskp18
    | c1_1(a676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f599,plain,
    ( spl0_84
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f37,f386,f596]) ).

fof(f37,axiom,
    ( ~ hskp29
    | c1_1(a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f584,plain,
    ( spl0_81
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f69,f391,f581]) ).

fof(f69,axiom,
    ( ~ hskp8
    | c3_1(a652) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f579,plain,
    ( spl0_80
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f80,f396,f576]) ).

fof(f80,axiom,
    ( ~ hskp0
    | c3_1(a641) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f574,plain,
    ( spl0_79
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f39,f386,f571]) ).

fof(f39,axiom,
    ( ~ hskp29
    | c3_1(a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f569,plain,
    ( spl0_78
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f55,f426,f566]) ).

fof(f55,axiom,
    ( ~ hskp19
    | c3_1(a682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f564,plain,
    ( spl0_77
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f65,f401,f561]) ).

fof(f65,axiom,
    ( ~ hskp11
    | c2_1(a657) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f559,plain,
    ( spl0_76
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f79,f396,f556]) ).

fof(f79,axiom,
    ( ~ hskp0
    | c2_1(a641) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f554,plain,
    ( spl0_75
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f38,f386,f551]) ).

fof(f38,axiom,
    ( ~ hskp29
    | c2_1(a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f549,plain,
    ( spl0_74
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f61,f416,f546]) ).

fof(f61,axiom,
    ( ~ hskp14
    | c2_1(a665) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f544,plain,
    ( spl0_73
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f71,f421,f541]) ).

fof(f71,axiom,
    ( ~ hskp6
    | c0_1(a648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f539,plain,
    ( spl0_72
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f63,f406,f536]) ).

fof(f63,axiom,
    ( ~ hskp12
    | c0_1(a660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f534,plain,
    ( spl0_71
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f64,f401,f531]) ).

fof(f64,axiom,
    ( ~ hskp11
    | c0_1(a657) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f529,plain,
    ( spl0_70
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f56,f431,f526]) ).

fof(f56,axiom,
    ( ~ hskp18
    | c0_1(a676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f524,plain,
    ( spl0_69
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f68,f391,f521]) ).

fof(f68,axiom,
    ( ~ hskp8
    | c0_1(a652) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f519,plain,
    ( ~ spl0_68
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f93,f426,f516]) ).

fof(f93,axiom,
    ( ~ hskp19
    | ~ c1_1(a682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f514,plain,
    ( ~ spl0_67
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f126,f396,f511]) ).

fof(f126,axiom,
    ( ~ hskp0
    | ~ c1_1(a641) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f509,plain,
    ( ~ spl0_66
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f106,f406,f506]) ).

fof(f106,axiom,
    ( ~ hskp12
    | ~ c1_1(a660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f504,plain,
    ( ~ spl0_65
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f103,f416,f501]) ).

fof(f103,axiom,
    ( ~ hskp14
    | ~ c1_1(a665) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f499,plain,
    ( ~ spl0_64
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f117,f421,f496]) ).

fof(f117,axiom,
    ( ~ hskp6
    | ~ c3_1(a648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f494,plain,
    ( ~ spl0_63
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f108,f401,f491]) ).

fof(f108,axiom,
    ( ~ hskp11
    | ~ c3_1(a657) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f479,plain,
    ( ~ spl0_60
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f116,f421,f476]) ).

fof(f116,axiom,
    ( ~ hskp6
    | ~ c2_1(a648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f474,plain,
    ( ~ spl0_59
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f95,f431,f471]) ).

fof(f95,axiom,
    ( ~ hskp18
    | ~ c2_1(a676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f469,plain,
    ( ~ spl0_58
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f107,f406,f466]) ).

fof(f107,axiom,
    ( ~ hskp12
    | ~ c2_1(a660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f464,plain,
    ( ~ spl0_57
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f113,f391,f461]) ).

fof(f113,axiom,
    ( ~ hskp8
    | ~ c2_1(a652) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f459,plain,
    ( ~ spl0_56
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f94,f426,f456]) ).

fof(f94,axiom,
    ( ~ hskp19
    | ~ c2_1(a682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f434,plain,
    ( spl0_1
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f12,f431,f182]) ).

fof(f12,axiom,
    ( ~ hskp18
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f384,plain,
    ( spl0_41
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f41,f301,f381]) ).

fof(f41,axiom,
    ( ~ hskp28
    | c1_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f374,plain,
    ( spl0_39
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f45,f306,f371]) ).

fof(f45,axiom,
    ( ~ hskp27
    | c3_1(a655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f369,plain,
    ( spl0_38
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f42,f301,f366]) ).

fof(f42,axiom,
    ( ~ hskp28
    | c2_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f364,plain,
    ( spl0_37
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f67,f286,f361]) ).

fof(f67,axiom,
    ( ~ hskp10
    | c2_1(a656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f354,plain,
    ( spl0_35
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f50,f296,f351]) ).

fof(f50,axiom,
    ( ~ hskp23
    | c2_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f344,plain,
    ( spl0_33
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f43,f306,f341]) ).

fof(f43,axiom,
    ( ~ hskp27
    | c0_1(a655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f339,plain,
    ( spl0_32
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f40,f301,f336]) ).

fof(f40,axiom,
    ( ~ hskp28
    | c0_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f334,plain,
    ( spl0_31
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f66,f286,f331]) ).

fof(f66,axiom,
    ( ~ hskp10
    | c0_1(a656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f329,plain,
    ( ~ spl0_30
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f109,f286,f326]) ).

fof(f109,axiom,
    ( ~ hskp10
    | ~ c1_1(a656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f324,plain,
    ( ~ spl0_29
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f87,f296,f321]) ).

fof(f87,axiom,
    ( ~ hskp23
    | ~ c3_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f319,plain,
    ( ~ spl0_28
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f86,f296,f316]) ).

fof(f86,axiom,
    ( ~ hskp23
    | ~ c0_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f284,plain,
    ( spl0_21
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f59,f191,f281]) ).

fof(f59,axiom,
    ( ~ hskp16
    | c1_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f269,plain,
    ( spl0_18
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f62,f186,f266]) ).

fof(f62,axiom,
    ( ~ hskp13
    | c0_1(a661) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f259,plain,
    ( ~ spl0_16
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f90,f196,f256]) ).

fof(f90,axiom,
    ( ~ hskp21
    | ~ c1_1(a691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f244,plain,
    ( ~ spl0_13
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f91,f196,f241]) ).

fof(f91,axiom,
    ( ~ hskp21
    | ~ c3_1(a691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f239,plain,
    ( ~ spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f105,f186,f236]) ).

fof(f105,axiom,
    ( ~ hskp13
    | ~ c3_1(a661) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f234,plain,
    ( ~ spl0_11
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f99,f191,f231]) ).

fof(f99,axiom,
    ( ~ hskp16
    | ~ c3_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f229,plain,
    ( ~ spl0_10
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f98,f191,f226]) ).

fof(f98,axiom,
    ( ~ hskp16
    | ~ c2_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f219,plain,
    ( ~ spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f89,f196,f216]) ).

fof(f89,axiom,
    ( ~ hskp21
    | ~ c0_1(a691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN450-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 01:50:26 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (18980)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (18985)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (18983)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (18982)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (18981)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (18984)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (18986)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (18987)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [30]
% 0.15/0.38  TRYING [1]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [30]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [30]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [30]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.41  TRYING [5]
% 0.15/0.41  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  % (18986)First to succeed.
% 0.22/0.43  % (18983)Also succeeded, but the first one will report.
% 0.22/0.43  % (18986)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44  % (18986)------------------------------
% 0.22/0.44  % (18986)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44  % (18986)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (18986)Memory used [KB]: 1821
% 0.22/0.44  % (18986)Time elapsed: 0.050 s
% 0.22/0.44  % (18986)Instructions burned: 80 (million)
% 0.22/0.44  % (18986)------------------------------
% 0.22/0.44  % (18986)------------------------------
% 0.22/0.44  % (18980)Success in time 0.071 s
%------------------------------------------------------------------------------