TSTP Solution File: SYN458-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN458-1 : 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 : n015.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 18:03:34 EDT 2024

% Result   : Unsatisfiable 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  278
% Syntax   : Number of formulae    :  628 (   1 unt;   0 def)
%            Number of atoms       : 1991 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2404 (1041   ~;1191   |;   0   &)
%                                         ( 172 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  201 ( 200 usr; 197 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  173 ( 173   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4156,plain,
    $false,
    inference(avatar_sat_refutation,[],[f259,f273,f288,f303,f304,f305,f306,f307,f317,f326,f335,f344,f353,f371,f380,f385,f390,f395,f431,f436,f446,f455,f464,f473,f478,f483,f492,f501,f515,f520,f529,f534,f539,f544,f549,f572,f577,f596,f601,f609,f625,f633,f638,f643,f659,f675,f712,f720,f728,f736,f744,f752,f757,f762,f767,f801,f806,f811,f816,f825,f832,f849,f859,f874,f889,f895,f905,f910,f915,f934,f943,f948,f1007,f1012,f1017,f1052,f1057,f1062,f1072,f1077,f1085,f1135,f1140,f1145,f1150,f1152,f1172,f1177,f1182,f1187,f1191,f1196,f1201,f1208,f1213,f1230,f1232,f1237,f1270,f1275,f1280,f1283,f1284,f1297,f1314,f1319,f1324,f1333,f1355,f1360,f1364,f1394,f1411,f1413,f1441,f1446,f1455,f1460,f1465,f1495,f1571,f1572,f1647,f1669,f1670,f1675,f1724,f1752,f1769,f1797,f1798,f1897,f1902,f2006,f2011,f2125,f2145,f2180,f2190,f2244,f2317,f2322,f2367,f2375,f2390,f2395,f2399,f2408,f2433,f2442,f2628,f2637,f2654,f2728,f2736,f2738,f2748,f2796,f2803,f2808,f2813,f2888,f2898,f2979,f2991,f2994,f2996,f3023,f3029,f3140,f3240,f3244,f3275,f3452,f3475,f3652,f3761,f3850,f3865,f3901,f3903,f4057,f4155]) ).

fof(f4155,plain,
    ( spl31_60
    | spl31_139
    | ~ spl31_170
    | spl31_180 ),
    inference(avatar_split_clause,[],[f4134,f1234,f1154,f923,f531]) ).

fof(f531,plain,
    ( spl31_60
  <=> c2_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_60])]) ).

fof(f923,plain,
    ( spl31_139
  <=> c0_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_139])]) ).

fof(f1154,plain,
    ( spl31_170
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_170])]) ).

fof(f1234,plain,
    ( spl31_180
  <=> c3_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_180])]) ).

fof(f4134,plain,
    ( c0_1(a1125)
    | c2_1(a1125)
    | ~ spl31_170
    | spl31_180 ),
    inference(resolution,[],[f1155,f1236]) ).

fof(f1236,plain,
    ( ~ c3_1(a1125)
    | spl31_180 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f1155,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl31_170 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f4057,plain,
    ( ~ spl31_24
    | spl31_159
    | ~ spl31_92
    | spl31_152 ),
    inference(avatar_split_clause,[],[f3880,f1009,f673,f1082,f364]) ).

fof(f364,plain,
    ( spl31_24
  <=> c1_1(a1120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_24])]) ).

fof(f1082,plain,
    ( spl31_159
  <=> c0_1(a1120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_159])]) ).

fof(f673,plain,
    ( spl31_92
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_92])]) ).

fof(f1009,plain,
    ( spl31_152
  <=> c3_1(a1120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_152])]) ).

fof(f3880,plain,
    ( c0_1(a1120)
    | ~ c1_1(a1120)
    | ~ spl31_92
    | spl31_152 ),
    inference(resolution,[],[f674,f1011]) ).

fof(f1011,plain,
    ( ~ c3_1(a1120)
    | spl31_152 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f674,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_92 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f3903,plain,
    ( ~ spl31_20
    | ~ spl31_189
    | ~ spl31_105
    | spl31_190 ),
    inference(avatar_split_clause,[],[f3518,f1462,f726,f1457,f346]) ).

fof(f346,plain,
    ( spl31_20
  <=> c0_1(a1122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_20])]) ).

fof(f1457,plain,
    ( spl31_189
  <=> c2_1(a1122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_189])]) ).

fof(f726,plain,
    ( spl31_105
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_105])]) ).

fof(f1462,plain,
    ( spl31_190
  <=> c3_1(a1122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_190])]) ).

fof(f3518,plain,
    ( ~ c2_1(a1122)
    | ~ c0_1(a1122)
    | ~ spl31_105
    | spl31_190 ),
    inference(resolution,[],[f727,f1464]) ).

fof(f1464,plain,
    ( ~ c3_1(a1122)
    | spl31_190 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f727,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl31_105 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f3901,plain,
    ( spl31_63
    | spl31_62
    | ~ spl31_39
    | ~ spl31_153 ),
    inference(avatar_split_clause,[],[f3737,f1015,f433,f541,f546]) ).

fof(f546,plain,
    ( spl31_63
  <=> c2_1(a1095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_63])]) ).

fof(f541,plain,
    ( spl31_62
  <=> c1_1(a1095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_62])]) ).

fof(f433,plain,
    ( spl31_39
  <=> c3_1(a1095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_39])]) ).

fof(f1015,plain,
    ( spl31_153
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_153])]) ).

fof(f3737,plain,
    ( c1_1(a1095)
    | c2_1(a1095)
    | ~ spl31_39
    | ~ spl31_153 ),
    inference(resolution,[],[f1016,f435]) ).

fof(f435,plain,
    ( c3_1(a1095)
    | ~ spl31_39 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1016,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl31_153 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f3865,plain,
    ( ~ spl31_16
    | spl31_214
    | ~ spl31_135
    | ~ spl31_213 ),
    inference(avatar_split_clause,[],[f3541,f2805,f893,f2810,f328]) ).

fof(f328,plain,
    ( spl31_16
  <=> c2_1(a1146) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_16])]) ).

fof(f2810,plain,
    ( spl31_214
  <=> c0_1(a1146) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_214])]) ).

fof(f893,plain,
    ( spl31_135
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_135])]) ).

fof(f2805,plain,
    ( spl31_213
  <=> c3_1(a1146) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_213])]) ).

fof(f3541,plain,
    ( c0_1(a1146)
    | ~ c2_1(a1146)
    | ~ spl31_135
    | ~ spl31_213 ),
    inference(resolution,[],[f894,f2807]) ).

fof(f2807,plain,
    ( c3_1(a1146)
    | ~ spl31_213 ),
    inference(avatar_component_clause,[],[f2805]) ).

fof(f894,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_135 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f3850,plain,
    ( ~ spl31_86
    | ~ spl31_109
    | ~ spl31_167
    | ~ spl31_168 ),
    inference(avatar_contradiction_clause,[],[f3849]) ).

fof(f3849,plain,
    ( $false
    | ~ spl31_86
    | ~ spl31_109
    | ~ spl31_167
    | ~ spl31_168 ),
    inference(resolution,[],[f3833,f1144]) ).

fof(f1144,plain,
    ( c1_1(a1148)
    | ~ spl31_168 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f1142,plain,
    ( spl31_168
  <=> c1_1(a1148) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_168])]) ).

fof(f3833,plain,
    ( ~ c1_1(a1148)
    | ~ spl31_86
    | ~ spl31_109
    | ~ spl31_167 ),
    inference(resolution,[],[f3382,f1139]) ).

fof(f1139,plain,
    ( c0_1(a1148)
    | ~ spl31_167 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1137,plain,
    ( spl31_167
  <=> c0_1(a1148) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_167])]) ).

fof(f3382,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_86
    | ~ spl31_109 ),
    inference(duplicate_literal_removal,[],[f3366]) ).

fof(f3366,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_86
    | ~ spl31_109 ),
    inference(resolution,[],[f650,f743]) ).

fof(f743,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_109 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f742,plain,
    ( spl31_109
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_109])]) ).

fof(f650,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl31_86 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f649,plain,
    ( spl31_86
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_86])]) ).

fof(f3761,plain,
    ( ~ spl31_195
    | spl31_185
    | ~ spl31_107
    | spl31_186 ),
    inference(avatar_split_clause,[],[f3190,f1357,f734,f1352,f1721]) ).

fof(f1721,plain,
    ( spl31_195
  <=> c2_1(a1084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_195])]) ).

fof(f1352,plain,
    ( spl31_185
  <=> c1_1(a1084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_185])]) ).

fof(f734,plain,
    ( spl31_107
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_107])]) ).

fof(f1357,plain,
    ( spl31_186
  <=> c3_1(a1084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_186])]) ).

fof(f3190,plain,
    ( c1_1(a1084)
    | ~ c2_1(a1084)
    | ~ spl31_107
    | spl31_186 ),
    inference(resolution,[],[f735,f1359]) ).

fof(f1359,plain,
    ( ~ c3_1(a1084)
    | spl31_186 ),
    inference(avatar_component_clause,[],[f1357]) ).

fof(f735,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_107 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f3652,plain,
    ( ~ spl31_29
    | ~ spl31_127
    | ~ spl31_86
    | ~ spl31_194 ),
    inference(avatar_split_clause,[],[f3370,f1672,f649,f829,f387]) ).

fof(f387,plain,
    ( spl31_29
  <=> c0_1(a1092) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_29])]) ).

fof(f829,plain,
    ( spl31_127
  <=> c1_1(a1092) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_127])]) ).

fof(f1672,plain,
    ( spl31_194
  <=> c3_1(a1092) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_194])]) ).

fof(f3370,plain,
    ( ~ c1_1(a1092)
    | ~ c0_1(a1092)
    | ~ spl31_86
    | ~ spl31_194 ),
    inference(resolution,[],[f650,f1674]) ).

fof(f1674,plain,
    ( c3_1(a1092)
    | ~ spl31_194 ),
    inference(avatar_component_clause,[],[f1672]) ).

fof(f3475,plain,
    ( ~ spl31_49
    | spl31_127
    | ~ spl31_80
    | ~ spl31_194 ),
    inference(avatar_split_clause,[],[f3124,f1672,f623,f829,f480]) ).

fof(f480,plain,
    ( spl31_49
  <=> c2_1(a1092) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_49])]) ).

fof(f623,plain,
    ( spl31_80
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_80])]) ).

fof(f3124,plain,
    ( c1_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl31_80
    | ~ spl31_194 ),
    inference(resolution,[],[f624,f1674]) ).

fof(f624,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_80 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f3452,plain,
    ( ~ spl31_50
    | spl31_195
    | ~ spl31_154
    | spl31_186 ),
    inference(avatar_split_clause,[],[f3113,f1357,f1040,f1721,f485]) ).

fof(f485,plain,
    ( spl31_50
  <=> c0_1(a1084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_50])]) ).

fof(f1040,plain,
    ( spl31_154
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_154])]) ).

fof(f3113,plain,
    ( c2_1(a1084)
    | ~ c0_1(a1084)
    | ~ spl31_154
    | spl31_186 ),
    inference(resolution,[],[f1359,f1041]) ).

fof(f1041,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl31_154 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f3275,plain,
    ( ~ spl31_139
    | spl31_60
    | ~ spl31_154
    | spl31_180 ),
    inference(avatar_split_clause,[],[f3077,f1234,f1040,f531,f923]) ).

fof(f3077,plain,
    ( c2_1(a1125)
    | ~ c0_1(a1125)
    | ~ spl31_154
    | spl31_180 ),
    inference(resolution,[],[f1041,f1236]) ).

fof(f3244,plain,
    ( ~ spl31_108
    | spl31_141
    | spl31_45
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f226,f261,f461,f936,f738]) ).

fof(f738,plain,
    ( spl31_108
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_108])]) ).

fof(f936,plain,
    ( spl31_141
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_141])]) ).

fof(f461,plain,
    ( spl31_45
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_45])]) ).

fof(f261,plain,
    ( spl31_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).

fof(f226,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ sP18 ),
    inference(general_splitting,[],[f167,f225_D]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | sP18 ),
    inference(cnf_transformation,[],[f225_D]) ).

fof(f225_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
  <=> ~ sP18 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f3240,plain,
    ( ~ spl31_106
    | spl31_160
    | spl31_45
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f224,f261,f461,f1088,f730]) ).

fof(f730,plain,
    ( spl31_106
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_106])]) ).

fof(f1088,plain,
    ( spl31_160
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_160])]) ).

fof(f224,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ sP17 ),
    inference(general_splitting,[],[f172,f223_D]) ).

fof(f223,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | sP17 ),
    inference(cnf_transformation,[],[f223_D]) ).

fof(f223_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
  <=> ~ sP17 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f3140,plain,
    ( spl31_67
    | spl31_69
    | ~ spl31_111
    | spl31_206 ),
    inference(avatar_split_clause,[],[f3008,f2392,f750,f574,f565]) ).

fof(f565,plain,
    ( spl31_67
  <=> c0_1(a1087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_67])]) ).

fof(f574,plain,
    ( spl31_69
  <=> c1_1(a1087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_69])]) ).

fof(f750,plain,
    ( spl31_111
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_111])]) ).

fof(f2392,plain,
    ( spl31_206
  <=> c2_1(a1087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_206])]) ).

fof(f3008,plain,
    ( c1_1(a1087)
    | c0_1(a1087)
    | ~ spl31_111
    | spl31_206 ),
    inference(resolution,[],[f751,f2394]) ).

fof(f2394,plain,
    ( ~ c2_1(a1087)
    | spl31_206 ),
    inference(avatar_component_clause,[],[f2392]) ).

fof(f751,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl31_111 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f3029,plain,
    ( spl31_214
    | spl31_216
    | ~ spl31_144
    | ~ spl31_213 ),
    inference(avatar_split_clause,[],[f2868,f2805,f957,f2988,f2810]) ).

fof(f2988,plain,
    ( spl31_216
  <=> c1_1(a1146) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_216])]) ).

fof(f957,plain,
    ( spl31_144
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_144])]) ).

fof(f2868,plain,
    ( c1_1(a1146)
    | c0_1(a1146)
    | ~ spl31_144
    | ~ spl31_213 ),
    inference(resolution,[],[f958,f2807]) ).

fof(f958,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl31_144 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f3023,plain,
    ( ~ spl31_128
    | spl31_62
    | ~ spl31_39
    | ~ spl31_103 ),
    inference(avatar_split_clause,[],[f2798,f718,f433,f541,f846]) ).

fof(f846,plain,
    ( spl31_128
  <=> c0_1(a1095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_128])]) ).

fof(f718,plain,
    ( spl31_103
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_103])]) ).

fof(f2798,plain,
    ( c1_1(a1095)
    | ~ c0_1(a1095)
    | ~ spl31_39
    | ~ spl31_103 ),
    inference(resolution,[],[f435,f719]) ).

fof(f719,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl31_103 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f2996,plain,
    ( ~ spl31_12
    | ~ spl31_175
    | ~ spl31_86
    | ~ spl31_176 ),
    inference(avatar_split_clause,[],[f2838,f1198,f649,f1193,f310]) ).

fof(f310,plain,
    ( spl31_12
  <=> c0_1(a1109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).

fof(f1193,plain,
    ( spl31_175
  <=> c1_1(a1109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_175])]) ).

fof(f1198,plain,
    ( spl31_176
  <=> c3_1(a1109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_176])]) ).

fof(f2838,plain,
    ( ~ c1_1(a1109)
    | ~ c0_1(a1109)
    | ~ spl31_86
    | ~ spl31_176 ),
    inference(resolution,[],[f650,f1200]) ).

fof(f1200,plain,
    ( c3_1(a1109)
    | ~ spl31_176 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f2994,plain,
    ( ~ spl31_52
    | spl31_183
    | ~ spl31_82
    | spl31_184 ),
    inference(avatar_split_clause,[],[f2826,f1321,f631,f1316,f494]) ).

fof(f494,plain,
    ( spl31_52
  <=> c1_1(a1083) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_52])]) ).

fof(f1316,plain,
    ( spl31_183
  <=> c2_1(a1083) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_183])]) ).

fof(f631,plain,
    ( spl31_82
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_82])]) ).

fof(f1321,plain,
    ( spl31_184
  <=> c3_1(a1083) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_184])]) ).

fof(f2826,plain,
    ( c2_1(a1083)
    | ~ c1_1(a1083)
    | ~ spl31_82
    | spl31_184 ),
    inference(resolution,[],[f632,f1323]) ).

fof(f1323,plain,
    ( ~ c3_1(a1083)
    | spl31_184 ),
    inference(avatar_component_clause,[],[f1321]) ).

fof(f632,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_82 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f2991,plain,
    ( ~ spl31_216
    | ~ spl31_16
    | ~ spl31_160
    | spl31_214 ),
    inference(avatar_split_clause,[],[f2816,f2810,f1088,f328,f2988]) ).

fof(f2816,plain,
    ( ~ c2_1(a1146)
    | ~ c1_1(a1146)
    | ~ spl31_160
    | spl31_214 ),
    inference(resolution,[],[f2812,f1089]) ).

fof(f1089,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_160 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f2812,plain,
    ( ~ c0_1(a1146)
    | spl31_214 ),
    inference(avatar_component_clause,[],[f2810]) ).

fof(f2979,plain,
    ( ~ spl31_24
    | ~ spl31_159
    | ~ spl31_109
    | spl31_152 ),
    inference(avatar_split_clause,[],[f2783,f1009,f742,f1082,f364]) ).

fof(f2783,plain,
    ( ~ c0_1(a1120)
    | ~ c1_1(a1120)
    | ~ spl31_109
    | spl31_152 ),
    inference(resolution,[],[f743,f1011]) ).

fof(f2898,plain,
    ( ~ spl31_18
    | ~ spl31_155
    | spl31_156
    | ~ spl31_160 ),
    inference(avatar_split_clause,[],[f2708,f1088,f1059,f1054,f337]) ).

fof(f337,plain,
    ( spl31_18
  <=> c1_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_18])]) ).

fof(f1054,plain,
    ( spl31_155
  <=> c2_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_155])]) ).

fof(f1059,plain,
    ( spl31_156
  <=> c0_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_156])]) ).

fof(f2708,plain,
    ( ~ c2_1(a1124)
    | ~ c1_1(a1124)
    | spl31_156
    | ~ spl31_160 ),
    inference(resolution,[],[f1089,f1061]) ).

fof(f1061,plain,
    ( ~ c0_1(a1124)
    | spl31_156 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f2888,plain,
    ( ~ spl31_42
    | spl31_187
    | ~ spl31_149
    | spl31_188 ),
    inference(avatar_split_clause,[],[f2686,f1443,f986,f1438,f448]) ).

fof(f448,plain,
    ( spl31_42
  <=> c2_1(a1091) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_42])]) ).

fof(f1438,plain,
    ( spl31_187
  <=> c0_1(a1091) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_187])]) ).

fof(f986,plain,
    ( spl31_149
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_149])]) ).

fof(f1443,plain,
    ( spl31_188
  <=> c3_1(a1091) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_188])]) ).

fof(f2686,plain,
    ( c0_1(a1091)
    | ~ c2_1(a1091)
    | ~ spl31_149
    | spl31_188 ),
    inference(resolution,[],[f987,f1445]) ).

fof(f1445,plain,
    ( ~ c3_1(a1091)
    | spl31_188 ),
    inference(avatar_component_clause,[],[f1443]) ).

fof(f987,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_149 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f2813,plain,
    ( ~ spl31_214
    | ~ spl31_17 ),
    inference(avatar_split_clause,[],[f87,f332,f2810]) ).

fof(f332,plain,
    ( spl31_17
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_17])]) ).

fof(f87,axiom,
    ( ~ hskp26
    | ~ c0_1(a1146) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f2808,plain,
    ( spl31_213
    | ~ spl31_17 ),
    inference(avatar_split_clause,[],[f51,f332,f2805]) ).

fof(f51,axiom,
    ( ~ hskp26
    | c3_1(a1146) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f2803,plain,
    ( ~ spl31_37
    | spl31_138
    | ~ spl31_120
    | ~ spl31_137 ),
    inference(avatar_split_clause,[],[f2025,f907,f791,f912,f424]) ).

fof(f424,plain,
    ( spl31_37
  <=> c1_1(a1097) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_37])]) ).

fof(f912,plain,
    ( spl31_138
  <=> c2_1(a1097) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_138])]) ).

fof(f791,plain,
    ( spl31_120
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_120])]) ).

fof(f907,plain,
    ( spl31_137
  <=> c3_1(a1097) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_137])]) ).

fof(f2025,plain,
    ( c2_1(a1097)
    | ~ c1_1(a1097)
    | ~ spl31_120
    | ~ spl31_137 ),
    inference(resolution,[],[f792,f909]) ).

fof(f909,plain,
    ( c3_1(a1097)
    | ~ spl31_137 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f792,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_120 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f2796,plain,
    ( spl31_78
    | spl31_1
    | spl31_9
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f160,f261,f290,f252,f615]) ).

fof(f615,plain,
    ( spl31_78
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_78])]) ).

fof(f252,plain,
    ( spl31_1
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).

fof(f290,plain,
    ( spl31_9
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp5
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f2748,plain,
    ( spl31_199
    | ~ spl31_57
    | ~ spl31_122
    | spl31_200 ),
    inference(avatar_split_clause,[],[f2552,f2008,f799,f517,f2003]) ).

fof(f2003,plain,
    ( spl31_199
  <=> c0_1(a1085) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_199])]) ).

fof(f517,plain,
    ( spl31_57
  <=> c2_1(a1085) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_57])]) ).

fof(f799,plain,
    ( spl31_122
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_122])]) ).

fof(f2008,plain,
    ( spl31_200
  <=> c1_1(a1085) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_200])]) ).

fof(f2552,plain,
    ( ~ c2_1(a1085)
    | c0_1(a1085)
    | ~ spl31_122
    | spl31_200 ),
    inference(resolution,[],[f800,f2010]) ).

fof(f2010,plain,
    ( ~ c1_1(a1085)
    | spl31_200 ),
    inference(avatar_component_clause,[],[f2008]) ).

fof(f800,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl31_122 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f2738,plain,
    ( spl31_178
    | ~ spl31_44
    | ~ spl31_122
    | spl31_174 ),
    inference(avatar_split_clause,[],[f2549,f1184,f799,f457,f1210]) ).

fof(f1210,plain,
    ( spl31_178
  <=> c0_1(a1089) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_178])]) ).

fof(f457,plain,
    ( spl31_44
  <=> c2_1(a1089) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_44])]) ).

fof(f1184,plain,
    ( spl31_174
  <=> c1_1(a1089) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_174])]) ).

fof(f2549,plain,
    ( ~ c2_1(a1089)
    | c0_1(a1089)
    | ~ spl31_122
    | spl31_174 ),
    inference(resolution,[],[f800,f1186]) ).

fof(f1186,plain,
    ( ~ c1_1(a1089)
    | spl31_174 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f2736,plain,
    ( ~ spl31_198
    | ~ spl31_14
    | ~ spl31_96
    | ~ spl31_207 ),
    inference(avatar_split_clause,[],[f2494,f2439,f689,f319,f1899]) ).

fof(f1899,plain,
    ( spl31_198
  <=> c2_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_198])]) ).

fof(f319,plain,
    ( spl31_14
  <=> c1_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_14])]) ).

fof(f689,plain,
    ( spl31_96
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_96])]) ).

fof(f2439,plain,
    ( spl31_207
  <=> c3_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_207])]) ).

fof(f2494,plain,
    ( ~ c1_1(a1101)
    | ~ c2_1(a1101)
    | ~ spl31_96
    | ~ spl31_207 ),
    inference(resolution,[],[f690,f2441]) ).

fof(f2441,plain,
    ( c3_1(a1101)
    | ~ spl31_207 ),
    inference(avatar_component_clause,[],[f2439]) ).

fof(f690,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_96 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f2728,plain,
    ( ~ spl31_178
    | ~ spl31_44
    | ~ spl31_90
    | spl31_174 ),
    inference(avatar_split_clause,[],[f2434,f1184,f665,f457,f1210]) ).

fof(f665,plain,
    ( spl31_90
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_90])]) ).

fof(f2434,plain,
    ( ~ c2_1(a1089)
    | ~ c0_1(a1089)
    | ~ spl31_90
    | spl31_174 ),
    inference(resolution,[],[f1186,f666]) ).

fof(f666,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl31_90 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f2654,plain,
    ( ~ spl31_28
    | ~ spl31_126
    | spl31_61
    | ~ spl31_90 ),
    inference(avatar_split_clause,[],[f2353,f665,f536,f822,f382]) ).

fof(f382,plain,
    ( spl31_28
  <=> c0_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_28])]) ).

fof(f822,plain,
    ( spl31_126
  <=> c2_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_126])]) ).

fof(f536,plain,
    ( spl31_61
  <=> c1_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_61])]) ).

fof(f2353,plain,
    ( ~ c2_1(a1103)
    | ~ c0_1(a1103)
    | spl31_61
    | ~ spl31_90 ),
    inference(resolution,[],[f666,f538]) ).

fof(f538,plain,
    ( ~ c1_1(a1103)
    | spl31_61 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f2637,plain,
    ( ~ spl31_28
    | spl31_61
    | ~ spl31_30
    | ~ spl31_103 ),
    inference(avatar_split_clause,[],[f2257,f718,f392,f536,f382]) ).

fof(f392,plain,
    ( spl31_30
  <=> c3_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_30])]) ).

fof(f2257,plain,
    ( c1_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl31_30
    | ~ spl31_103 ),
    inference(resolution,[],[f719,f394]) ).

fof(f394,plain,
    ( c3_1(a1103)
    | ~ spl31_30 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f2628,plain,
    ( ~ spl31_159
    | ~ spl31_151
    | ~ spl31_105
    | spl31_152 ),
    inference(avatar_split_clause,[],[f2137,f1009,f726,f1004,f1082]) ).

fof(f1004,plain,
    ( spl31_151
  <=> c2_1(a1120) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_151])]) ).

fof(f2137,plain,
    ( ~ c2_1(a1120)
    | ~ c0_1(a1120)
    | ~ spl31_105
    | spl31_152 ),
    inference(resolution,[],[f1011,f727]) ).

fof(f2442,plain,
    ( spl31_207
    | ~ spl31_15 ),
    inference(avatar_split_clause,[],[f45,f323,f2439]) ).

fof(f323,plain,
    ( spl31_15
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_15])]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c3_1(a1101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f2433,plain,
    ( spl31_122
    | spl31_45
    | spl31_47
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f138,f261,f470,f461,f799]) ).

fof(f470,plain,
    ( spl31_47
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_47])]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp9
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f2408,plain,
    ( ~ spl31_101
    | spl31_122
    | spl31_1
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f218,f261,f252,f799,f709]) ).

fof(f709,plain,
    ( spl31_101
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_101])]) ).

fof(f218,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ sP14 ),
    inference(general_splitting,[],[f169,f217_D]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0)
      | sP14 ),
    inference(cnf_transformation,[],[f217_D]) ).

fof(f217_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f2399,plain,
    ( ~ spl31_91
    | spl31_122
    | spl31_51
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f208,f261,f489,f799,f669]) ).

fof(f669,plain,
    ( spl31_91
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_91])]) ).

fof(f489,plain,
    ( spl31_51
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_51])]) ).

fof(f208,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ sP9 ),
    inference(general_splitting,[],[f166,f207_D]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | sP9 ),
    inference(cnf_transformation,[],[f207_D]) ).

fof(f207_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f2395,plain,
    ( ~ spl31_206
    | ~ spl31_68 ),
    inference(avatar_split_clause,[],[f118,f569,f2392]) ).

fof(f569,plain,
    ( spl31_68
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_68])]) ).

fof(f118,axiom,
    ( ~ hskp7
    | ~ c2_1(a1087) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f2390,plain,
    ( spl31_122
    | spl31_11
    | spl31_68
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f137,f261,f569,f300,f799]) ).

fof(f300,plain,
    ( spl31_11
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp6
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f2375,plain,
    ( ~ spl31_123
    | ~ spl31_121
    | spl31_160
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f246,f261,f1088,f795,f803]) ).

fof(f803,plain,
    ( spl31_123
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_123])]) ).

fof(f795,plain,
    ( spl31_121
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_121])]) ).

fof(f246,plain,
    ! [X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ sP27
      | ~ sP28 ),
    inference(general_splitting,[],[f244,f245_D]) ).

fof(f245,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | sP28 ),
    inference(cnf_transformation,[],[f245_D]) ).

fof(f245_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ sP27 ),
    inference(general_splitting,[],[f188,f243_D]) ).

fof(f243,plain,
    ! [X2] :
      ( ~ c2_1(X2)
      | c0_1(X2)
      | c1_1(X2)
      | sP27 ),
    inference(cnf_transformation,[],[f243_D]) ).

fof(f243_D,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f188,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f2367,plain,
    ( spl31_80
    | spl31_38
    | spl31_43
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f155,f261,f452,f428,f623]) ).

fof(f428,plain,
    ( spl31_38
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_38])]) ).

fof(f452,plain,
    ( spl31_43
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_43])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp14
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f2322,plain,
    ( ~ spl31_140
    | spl31_138
    | ~ spl31_137
    | ~ spl31_177 ),
    inference(avatar_split_clause,[],[f1922,f1206,f907,f912,f930]) ).

fof(f930,plain,
    ( spl31_140
  <=> c0_1(a1097) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_140])]) ).

fof(f1206,plain,
    ( spl31_177
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_177])]) ).

fof(f1922,plain,
    ( c2_1(a1097)
    | ~ c0_1(a1097)
    | ~ spl31_137
    | ~ spl31_177 ),
    inference(resolution,[],[f909,f1207]) ).

fof(f1207,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl31_177 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f2317,plain,
    ( ~ spl31_83
    | spl31_90
    | spl31_59
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f198,f261,f526,f665,f635]) ).

fof(f635,plain,
    ( spl31_83
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_83])]) ).

fof(f526,plain,
    ( spl31_59
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_59])]) ).

fof(f198,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp25
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ sP4 ),
    inference(general_splitting,[],[f181,f197_D]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | sP4 ),
    inference(cnf_transformation,[],[f197_D]) ).

fof(f197_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp25
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f2244,plain,
    ( ~ spl31_56
    | spl31_73
    | spl31_74
    | ~ spl31_94 ),
    inference(avatar_split_clause,[],[f1885,f681,f598,f593,f512]) ).

fof(f512,plain,
    ( spl31_56
  <=> c1_1(a1080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_56])]) ).

fof(f593,plain,
    ( spl31_73
  <=> c0_1(a1080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_73])]) ).

fof(f598,plain,
    ( spl31_74
  <=> c2_1(a1080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_74])]) ).

fof(f681,plain,
    ( spl31_94
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_94])]) ).

fof(f1885,plain,
    ( c0_1(a1080)
    | ~ c1_1(a1080)
    | spl31_74
    | ~ spl31_94 ),
    inference(resolution,[],[f682,f600]) ).

fof(f600,plain,
    ( ~ c2_1(a1080)
    | spl31_74 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f682,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_94 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f2190,plain,
    ( ~ spl31_29
    | spl31_127
    | ~ spl31_103
    | ~ spl31_194 ),
    inference(avatar_split_clause,[],[f1759,f1672,f718,f829,f387]) ).

fof(f1759,plain,
    ( c1_1(a1092)
    | ~ c0_1(a1092)
    | ~ spl31_103
    | ~ spl31_194 ),
    inference(resolution,[],[f719,f1674]) ).

fof(f2180,plain,
    ( spl31_60
    | spl31_58
    | ~ spl31_141
    | spl31_180 ),
    inference(avatar_split_clause,[],[f1741,f1234,f936,f522,f531]) ).

fof(f522,plain,
    ( spl31_58
  <=> c1_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_58])]) ).

fof(f1741,plain,
    ( c1_1(a1125)
    | c2_1(a1125)
    | ~ spl31_141
    | spl31_180 ),
    inference(resolution,[],[f937,f1236]) ).

fof(f937,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl31_141 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f2145,plain,
    ( ~ spl31_125
    | ~ spl31_124
    | spl31_154
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f250,f261,f1040,f808,f813]) ).

fof(f813,plain,
    ( spl31_125
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_125])]) ).

fof(f808,plain,
    ( spl31_124
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_124])]) ).

fof(f250,plain,
    ! [X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ sP29
      | ~ sP30 ),
    inference(general_splitting,[],[f248,f249_D]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | sP30 ),
    inference(cnf_transformation,[],[f249_D]) ).

fof(f249_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
  <=> ~ sP30 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ sP29 ),
    inference(general_splitting,[],[f186,f247_D]) ).

fof(f247,plain,
    ! [X2] :
      ( ~ c2_1(X2)
      | c0_1(X2)
      | c1_1(X2)
      | sP29 ),
    inference(cnf_transformation,[],[f247_D]) ).

fof(f247_D,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

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

fof(f2125,plain,
    ( spl31_80
    | spl31_25
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f148,f261,f368,f623]) ).

fof(f368,plain,
    ( spl31_25
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_25])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f2011,plain,
    ( ~ spl31_200
    | ~ spl31_1 ),
    inference(avatar_split_clause,[],[f121,f252,f2008]) ).

fof(f121,axiom,
    ( ~ hskp5
    | ~ c1_1(a1085) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f2006,plain,
    ( ~ spl31_199
    | ~ spl31_1 ),
    inference(avatar_split_clause,[],[f120,f252,f2003]) ).

fof(f120,axiom,
    ( ~ hskp5
    | ~ c0_1(a1085) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f1902,plain,
    ( spl31_198
    | ~ spl31_15 ),
    inference(avatar_split_clause,[],[f44,f323,f1899]) ).

fof(f44,axiom,
    ( ~ hskp29
    | c2_1(a1101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f1897,plain,
    ( ~ spl31_49
    | ~ spl31_29
    | ~ spl31_76
    | ~ spl31_194 ),
    inference(avatar_split_clause,[],[f1676,f1672,f607,f387,f480]) ).

fof(f607,plain,
    ( spl31_76
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_76])]) ).

fof(f1676,plain,
    ( ~ c0_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl31_76
    | ~ spl31_194 ),
    inference(resolution,[],[f1674,f608]) ).

fof(f608,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_76 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f1798,plain,
    ( ~ spl31_114
    | ~ spl31_113
    | spl31_170
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f234,f261,f1154,f759,f764]) ).

fof(f764,plain,
    ( spl31_114
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_114])]) ).

fof(f759,plain,
    ( spl31_113
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_113])]) ).

fof(f234,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ sP21
      | ~ sP22 ),
    inference(general_splitting,[],[f232,f233_D]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0)
      | sP22 ),
    inference(cnf_transformation,[],[f233_D]) ).

fof(f233_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
  <=> ~ sP22 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ sP21 ),
    inference(general_splitting,[],[f183,f231_D]) ).

fof(f231,plain,
    ! [X2] :
      ( c2_1(X2)
      | c0_1(X2)
      | c1_1(X2)
      | sP21 ),
    inference(cnf_transformation,[],[f231_D]) ).

fof(f231_D,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
  <=> ~ sP21 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).

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

fof(f1797,plain,
    ( ~ spl31_112
    | ~ spl31_110
    | spl31_86
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f230,f261,f649,f746,f754]) ).

fof(f754,plain,
    ( spl31_112
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_112])]) ).

fof(f746,plain,
    ( spl31_110
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_110])]) ).

fof(f230,plain,
    ! [X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ sP19
      | ~ sP20 ),
    inference(general_splitting,[],[f228,f229_D]) ).

fof(f229,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | sP20 ),
    inference(cnf_transformation,[],[f229_D]) ).

fof(f229_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP20 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ sP19 ),
    inference(general_splitting,[],[f187,f227_D]) ).

fof(f227,plain,
    ! [X2] :
      ( c2_1(X2)
      | c0_1(X2)
      | c1_1(X2)
      | sP19 ),
    inference(cnf_transformation,[],[f227_D]) ).

fof(f227_D,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f187,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f1769,plain,
    ( ~ spl31_24
    | ~ spl31_151
    | ~ spl31_88
    | spl31_152 ),
    inference(avatar_split_clause,[],[f1581,f1009,f657,f1004,f364]) ).

fof(f657,plain,
    ( spl31_88
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_88])]) ).

fof(f1581,plain,
    ( ~ c2_1(a1120)
    | ~ c1_1(a1120)
    | ~ spl31_88
    | spl31_152 ),
    inference(resolution,[],[f658,f1011]) ).

fof(f658,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_88 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f1752,plain,
    ( ~ spl31_102
    | spl31_94
    | spl31_1
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f220,f261,f252,f681,f714]) ).

fof(f714,plain,
    ( spl31_102
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_102])]) ).

fof(f220,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ sP15 ),
    inference(general_splitting,[],[f170,f219_D]) ).

fof(f219,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0)
      | sP15 ),
    inference(cnf_transformation,[],[f219_D]) ).

fof(f219_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f1724,plain,
    ( ~ spl31_50
    | ~ spl31_195
    | ~ spl31_90
    | spl31_185 ),
    inference(avatar_split_clause,[],[f1507,f1352,f665,f1721,f485]) ).

fof(f1507,plain,
    ( ~ c2_1(a1084)
    | ~ c0_1(a1084)
    | ~ spl31_90
    | spl31_185 ),
    inference(resolution,[],[f666,f1354]) ).

fof(f1354,plain,
    ( ~ c1_1(a1084)
    | spl31_185 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f1675,plain,
    ( spl31_194
    | ~ spl31_5 ),
    inference(avatar_split_clause,[],[f48,f270,f1672]) ).

fof(f270,plain,
    ( spl31_5
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c3_1(a1092) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f1670,plain,
    ( ~ spl31_48
    | ~ spl31_181
    | ~ spl31_90
    | spl31_182 ),
    inference(avatar_split_clause,[],[f1506,f1277,f665,f1272,f475]) ).

fof(f475,plain,
    ( spl31_48
  <=> c0_1(a1086) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_48])]) ).

fof(f1272,plain,
    ( spl31_181
  <=> c2_1(a1086) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_181])]) ).

fof(f1277,plain,
    ( spl31_182
  <=> c1_1(a1086) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_182])]) ).

fof(f1506,plain,
    ( ~ c2_1(a1086)
    | ~ c0_1(a1086)
    | ~ spl31_90
    | spl31_182 ),
    inference(resolution,[],[f666,f1279]) ).

fof(f1279,plain,
    ( ~ c1_1(a1086)
    | spl31_182 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f1669,plain,
    ( ~ spl31_104
    | spl31_109
    | spl31_1
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f222,f261,f252,f742,f722]) ).

fof(f722,plain,
    ( spl31_104
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_104])]) ).

fof(f222,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ sP16 ),
    inference(general_splitting,[],[f179,f221_D]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | sP16 ),
    inference(cnf_transformation,[],[f221_D]) ).

fof(f221_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f1647,plain,
    ( ~ spl31_24
    | ~ spl31_78
    | ~ spl31_151
    | ~ spl31_160 ),
    inference(avatar_contradiction_clause,[],[f1643]) ).

fof(f1643,plain,
    ( $false
    | ~ spl31_24
    | ~ spl31_78
    | ~ spl31_151
    | ~ spl31_160 ),
    inference(resolution,[],[f1632,f1006]) ).

fof(f1006,plain,
    ( c2_1(a1120)
    | ~ spl31_151 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1632,plain,
    ( ~ c2_1(a1120)
    | ~ spl31_24
    | ~ spl31_78
    | ~ spl31_160 ),
    inference(resolution,[],[f1494,f366]) ).

fof(f366,plain,
    ( c1_1(a1120)
    | ~ spl31_24 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f1494,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_78
    | ~ spl31_160 ),
    inference(duplicate_literal_removal,[],[f1474]) ).

fof(f1474,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_78
    | ~ spl31_160 ),
    inference(resolution,[],[f1089,f616]) ).

fof(f616,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl31_78 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f1572,plain,
    ( ~ spl31_87
    | spl31_105
    | spl31_4
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f204,f261,f265,f726,f653]) ).

fof(f653,plain,
    ( spl31_87
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_87])]) ).

fof(f265,plain,
    ( spl31_4
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).

fof(f204,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp31
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ sP7 ),
    inference(general_splitting,[],[f180,f203_D]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | sP7 ),
    inference(cnf_transformation,[],[f203_D]) ).

fof(f203_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
  <=> ~ sP7 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp31
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f1571,plain,
    ( ~ spl31_84
    | spl31_144
    | spl31_43
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f200,f261,f452,f957,f640]) ).

fof(f640,plain,
    ( spl31_84
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_84])]) ).

fof(f200,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ sP5 ),
    inference(general_splitting,[],[f177,f199_D]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | sP5 ),
    inference(cnf_transformation,[],[f199_D]) ).

fof(f199_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f1495,plain,
    ( ~ spl31_37
    | spl31_140
    | ~ spl31_137
    | ~ spl31_165 ),
    inference(avatar_split_clause,[],[f1291,f1123,f907,f930,f424]) ).

fof(f1123,plain,
    ( spl31_165
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_165])]) ).

fof(f1291,plain,
    ( c0_1(a1097)
    | ~ c1_1(a1097)
    | ~ spl31_137
    | ~ spl31_165 ),
    inference(resolution,[],[f1124,f909]) ).

fof(f1124,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_165 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f1465,plain,
    ( ~ spl31_190
    | ~ spl31_21 ),
    inference(avatar_split_clause,[],[f92,f350,f1462]) ).

fof(f350,plain,
    ( spl31_21
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_21])]) ).

fof(f92,axiom,
    ( ~ hskp23
    | ~ c3_1(a1122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f1460,plain,
    ( spl31_189
    | ~ spl31_21 ),
    inference(avatar_split_clause,[],[f55,f350,f1457]) ).

fof(f55,axiom,
    ( ~ hskp23
    | c2_1(a1122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f1455,plain,
    ( ~ spl31_81
    | spl31_153
    | spl31_21
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f196,f261,f350,f1015,f627]) ).

fof(f627,plain,
    ( spl31_81
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_81])]) ).

fof(f196,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ sP3 ),
    inference(general_splitting,[],[f168,f195_D]) ).

fof(f195,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | sP3 ),
    inference(cnf_transformation,[],[f195_D]) ).

fof(f195_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f1446,plain,
    ( ~ spl31_188
    | ~ spl31_43 ),
    inference(avatar_split_clause,[],[f110,f452,f1443]) ).

fof(f110,axiom,
    ( ~ hskp11
    | ~ c3_1(a1091) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f1441,plain,
    ( ~ spl31_187
    | ~ spl31_43 ),
    inference(avatar_split_clause,[],[f109,f452,f1438]) ).

fof(f109,axiom,
    ( ~ hskp11
    | ~ c0_1(a1091) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f1413,plain,
    ( ~ spl31_179
    | ~ spl31_12
    | ~ spl31_76
    | ~ spl31_176 ),
    inference(avatar_split_clause,[],[f1204,f1198,f607,f310,f1227]) ).

fof(f1227,plain,
    ( spl31_179
  <=> c2_1(a1109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_179])]) ).

fof(f1204,plain,
    ( ~ c0_1(a1109)
    | ~ c2_1(a1109)
    | ~ spl31_76
    | ~ spl31_176 ),
    inference(resolution,[],[f1200,f608]) ).

fof(f1411,plain,
    ( ~ spl31_79
    | spl31_92
    | spl31_15
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f194,f261,f323,f673,f619]) ).

fof(f619,plain,
    ( spl31_79
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_79])]) ).

fof(f194,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ sP2 ),
    inference(general_splitting,[],[f171,f193_D]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0)
      | sP2 ),
    inference(cnf_transformation,[],[f193_D]) ).

fof(f193_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f1394,plain,
    ( ~ spl31_44
    | spl31_178
    | ~ spl31_135
    | ~ spl31_173 ),
    inference(avatar_split_clause,[],[f1266,f1179,f893,f1210,f457]) ).

fof(f1179,plain,
    ( spl31_173
  <=> c3_1(a1089) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_173])]) ).

fof(f1266,plain,
    ( c0_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl31_135
    | ~ spl31_173 ),
    inference(resolution,[],[f894,f1181]) ).

fof(f1181,plain,
    ( c3_1(a1089)
    | ~ spl31_173 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1364,plain,
    ( spl31_149
    | spl31_8
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f135,f261,f285,f986]) ).

fof(f285,plain,
    ( spl31_8
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f1360,plain,
    ( ~ spl31_186
    | ~ spl31_51 ),
    inference(avatar_split_clause,[],[f123,f489,f1357]) ).

fof(f123,axiom,
    ( ~ hskp4
    | ~ c3_1(a1084) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f1355,plain,
    ( ~ spl31_185
    | ~ spl31_51 ),
    inference(avatar_split_clause,[],[f122,f489,f1352]) ).

fof(f122,axiom,
    ( ~ hskp4
    | ~ c1_1(a1084) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f1333,plain,
    ( ~ spl31_75
    | spl31_120
    | spl31_17
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f190,f261,f332,f791,f603]) ).

fof(f603,plain,
    ( spl31_75
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_75])]) ).

fof(f190,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp26
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ sP0 ),
    inference(general_splitting,[],[f182,f189_D]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | sP0 ),
    inference(cnf_transformation,[],[f189_D]) ).

fof(f189_D,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp26
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f1324,plain,
    ( ~ spl31_184
    | ~ spl31_53 ),
    inference(avatar_split_clause,[],[f125,f498,f1321]) ).

fof(f498,plain,
    ( spl31_53
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_53])]) ).

fof(f125,axiom,
    ( ~ hskp3
    | ~ c3_1(a1083) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f1319,plain,
    ( ~ spl31_183
    | ~ spl31_53 ),
    inference(avatar_split_clause,[],[f124,f498,f1316]) ).

fof(f124,axiom,
    ( ~ hskp3
    | ~ c2_1(a1083) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f1314,plain,
    ( spl31_96
    | spl31_53
    | spl31_4
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f162,f261,f265,f498,f689]) ).

fof(f162,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp31
      | hskp3
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f1297,plain,
    ( ~ spl31_46
    | spl31_143
    | ~ spl31_142
    | ~ spl31_177 ),
    inference(avatar_split_clause,[],[f1223,f1206,f940,f945,f466]) ).

fof(f466,plain,
    ( spl31_46
  <=> c0_1(a1088) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_46])]) ).

fof(f945,plain,
    ( spl31_143
  <=> c2_1(a1088) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_143])]) ).

fof(f940,plain,
    ( spl31_142
  <=> c3_1(a1088) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_142])]) ).

fof(f1223,plain,
    ( c2_1(a1088)
    | ~ c0_1(a1088)
    | ~ spl31_142
    | ~ spl31_177 ),
    inference(resolution,[],[f1207,f942]) ).

fof(f942,plain,
    ( c3_1(a1088)
    | ~ spl31_142 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f1284,plain,
    ( ~ spl31_128
    | spl31_63
    | ~ spl31_39
    | ~ spl31_177 ),
    inference(avatar_split_clause,[],[f1221,f1206,f433,f546,f846]) ).

fof(f1221,plain,
    ( c2_1(a1095)
    | ~ c0_1(a1095)
    | ~ spl31_39
    | ~ spl31_177 ),
    inference(resolution,[],[f1207,f435]) ).

fof(f1283,plain,
    ( spl31_165
    | spl31_8
    | spl31_13
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f151,f261,f314,f285,f1123]) ).

fof(f314,plain,
    ( spl31_13
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_13])]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp18
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f1280,plain,
    ( ~ spl31_182
    | ~ spl31_11 ),
    inference(avatar_split_clause,[],[f119,f300,f1277]) ).

fof(f119,axiom,
    ( ~ hskp6
    | ~ c1_1(a1086) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f1275,plain,
    ( spl31_181
    | ~ spl31_11 ),
    inference(avatar_split_clause,[],[f79,f300,f1272]) ).

fof(f79,axiom,
    ( ~ hskp6
    | c2_1(a1086) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f1270,plain,
    ( ~ spl31_28
    | spl31_126
    | ~ spl31_30
    | ~ spl31_177 ),
    inference(avatar_split_clause,[],[f1218,f1206,f392,f822,f382]) ).

fof(f1218,plain,
    ( c2_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl31_30
    | ~ spl31_177 ),
    inference(resolution,[],[f1207,f394]) ).

fof(f1237,plain,
    ( ~ spl31_180
    | ~ spl31_59 ),
    inference(avatar_split_clause,[],[f90,f526,f1234]) ).

fof(f90,axiom,
    ( ~ hskp25
    | ~ c3_1(a1125) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f1232,plain,
    ( ~ spl31_12
    | spl31_179
    | ~ spl31_176
    | ~ spl31_177 ),
    inference(avatar_split_clause,[],[f1216,f1206,f1198,f1227,f310]) ).

fof(f1216,plain,
    ( c2_1(a1109)
    | ~ c0_1(a1109)
    | ~ spl31_176
    | ~ spl31_177 ),
    inference(resolution,[],[f1207,f1200]) ).

fof(f1230,plain,
    ( ~ spl31_179
    | ~ spl31_175
    | ~ spl31_12
    | ~ spl31_78 ),
    inference(avatar_split_clause,[],[f1202,f615,f310,f1193,f1227]) ).

fof(f1202,plain,
    ( ~ c1_1(a1109)
    | ~ c2_1(a1109)
    | ~ spl31_12
    | ~ spl31_78 ),
    inference(resolution,[],[f312,f616]) ).

fof(f312,plain,
    ( c0_1(a1109)
    | ~ spl31_12 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f1213,plain,
    ( ~ spl31_44
    | ~ spl31_178
    | ~ spl31_76
    | ~ spl31_173 ),
    inference(avatar_split_clause,[],[f1189,f1179,f607,f1210,f457]) ).

fof(f1189,plain,
    ( ~ c0_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl31_76
    | ~ spl31_173 ),
    inference(resolution,[],[f1181,f608]) ).

fof(f1208,plain,
    ( spl31_177
    | spl31_45
    | spl31_5
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f159,f261,f270,f461,f1206]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp9
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f1201,plain,
    ( spl31_176
    | ~ spl31_13 ),
    inference(avatar_split_clause,[],[f42,f314,f1198]) ).

fof(f42,axiom,
    ( ~ hskp30
    | c3_1(a1109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f1196,plain,
    ( spl31_175
    | ~ spl31_13 ),
    inference(avatar_split_clause,[],[f41,f314,f1193]) ).

fof(f41,axiom,
    ( ~ hskp30
    | c1_1(a1109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f1191,plain,
    ( ~ spl31_44
    | spl31_174
    | ~ spl31_80
    | ~ spl31_173 ),
    inference(avatar_split_clause,[],[f1188,f1179,f623,f1184,f457]) ).

fof(f1188,plain,
    ( c1_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl31_80
    | ~ spl31_173 ),
    inference(resolution,[],[f1181,f624]) ).

fof(f1187,plain,
    ( ~ spl31_174
    | ~ spl31_45 ),
    inference(avatar_split_clause,[],[f114,f461,f1184]) ).

fof(f114,axiom,
    ( ~ hskp9
    | ~ c1_1(a1089) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f1182,plain,
    ( spl31_173
    | ~ spl31_45 ),
    inference(avatar_split_clause,[],[f75,f461,f1179]) ).

fof(f75,axiom,
    ( ~ hskp9
    | c3_1(a1089) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f1177,plain,
    ( spl31_98
    | spl31_45
    | spl31_13
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f157,f261,f314,f461,f697]) ).

fof(f697,plain,
    ( spl31_98
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_98])]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp9
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f1172,plain,
    ( ~ spl31_169
    | ~ spl31_168
    | ~ spl31_78
    | ~ spl31_167 ),
    inference(avatar_split_clause,[],[f1151,f1137,f615,f1142,f1147]) ).

fof(f1147,plain,
    ( spl31_169
  <=> c2_1(a1148) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_169])]) ).

fof(f1151,plain,
    ( ~ c1_1(a1148)
    | ~ c2_1(a1148)
    | ~ spl31_78
    | ~ spl31_167 ),
    inference(resolution,[],[f1139,f616]) ).

fof(f1152,plain,
    ( ~ spl31_157
    | ~ spl31_26
    | ~ spl31_98
    | spl31_158 ),
    inference(avatar_split_clause,[],[f1080,f1074,f697,f373,f1069]) ).

fof(f1069,plain,
    ( spl31_157
  <=> c1_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_157])]) ).

fof(f373,plain,
    ( spl31_26
  <=> c0_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_26])]) ).

fof(f1074,plain,
    ( spl31_158
  <=> c2_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_158])]) ).

fof(f1080,plain,
    ( ~ c0_1(a1113)
    | ~ c1_1(a1113)
    | ~ spl31_98
    | spl31_158 ),
    inference(resolution,[],[f1076,f698]) ).

fof(f698,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl31_98 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f1076,plain,
    ( ~ c2_1(a1113)
    | spl31_158 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1150,plain,
    ( spl31_169
    | ~ spl31_4 ),
    inference(avatar_split_clause,[],[f39,f265,f1147]) ).

fof(f39,axiom,
    ( ~ hskp31
    | c2_1(a1148) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f1145,plain,
    ( spl31_168
    | ~ spl31_4 ),
    inference(avatar_split_clause,[],[f38,f265,f1142]) ).

fof(f38,axiom,
    ( ~ hskp31
    | c1_1(a1148) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f1140,plain,
    ( spl31_167
    | ~ spl31_4 ),
    inference(avatar_split_clause,[],[f37,f265,f1137]) ).

fof(f37,axiom,
    ( ~ hskp31
    | c0_1(a1148) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f1135,plain,
    ( ~ spl31_41
    | spl31_134
    | spl31_133
    | ~ spl31_154 ),
    inference(avatar_split_clause,[],[f1049,f1040,f871,f886,f443]) ).

fof(f443,plain,
    ( spl31_41
  <=> c0_1(a1094) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_41])]) ).

fof(f886,plain,
    ( spl31_134
  <=> c2_1(a1094) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_134])]) ).

fof(f871,plain,
    ( spl31_133
  <=> c3_1(a1094) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_133])]) ).

fof(f1049,plain,
    ( c2_1(a1094)
    | ~ c0_1(a1094)
    | spl31_133
    | ~ spl31_154 ),
    inference(resolution,[],[f1041,f873]) ).

fof(f873,plain,
    ( ~ c3_1(a1094)
    | spl31_133 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f1085,plain,
    ( ~ spl31_151
    | spl31_159
    | ~ spl31_149
    | spl31_152 ),
    inference(avatar_split_clause,[],[f1013,f1009,f986,f1082,f1004]) ).

fof(f1013,plain,
    ( c0_1(a1120)
    | ~ c2_1(a1120)
    | ~ spl31_149
    | spl31_152 ),
    inference(resolution,[],[f1011,f987]) ).

fof(f1077,plain,
    ( ~ spl31_158
    | ~ spl31_27 ),
    inference(avatar_split_clause,[],[f97,f377,f1074]) ).

fof(f377,plain,
    ( spl31_27
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_27])]) ).

fof(f97,axiom,
    ( ~ hskp19
    | ~ c2_1(a1113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f1072,plain,
    ( spl31_157
    | ~ spl31_27 ),
    inference(avatar_split_clause,[],[f62,f377,f1069]) ).

fof(f62,axiom,
    ( ~ hskp19
    | c1_1(a1113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f1062,plain,
    ( ~ spl31_156
    | ~ spl31_19 ),
    inference(avatar_split_clause,[],[f91,f341,f1059]) ).

fof(f341,plain,
    ( spl31_19
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_19])]) ).

fof(f91,axiom,
    ( ~ hskp24
    | ~ c0_1(a1124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f1057,plain,
    ( spl31_155
    | ~ spl31_19 ),
    inference(avatar_split_clause,[],[f53,f341,f1054]) ).

fof(f53,axiom,
    ( ~ hskp24
    | c2_1(a1124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f1052,plain,
    ( spl31_126
    | spl31_61
    | ~ spl31_30
    | ~ spl31_153 ),
    inference(avatar_split_clause,[],[f1028,f1015,f392,f536,f822]) ).

fof(f1028,plain,
    ( c1_1(a1103)
    | c2_1(a1103)
    | ~ spl31_30
    | ~ spl31_153 ),
    inference(resolution,[],[f1016,f394]) ).

fof(f1017,plain,
    ( spl31_153
    | spl31_19
    | spl31_59
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f145,f261,f526,f341,f1015]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp24
      | ~ c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f1012,plain,
    ( ~ spl31_152
    | ~ spl31_25 ),
    inference(avatar_split_clause,[],[f94,f368,f1009]) ).

fof(f94,axiom,
    ( ~ hskp21
    | ~ c3_1(a1120) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f1007,plain,
    ( spl31_151
    | ~ spl31_25 ),
    inference(avatar_split_clause,[],[f59,f368,f1004]) ).

fof(f59,axiom,
    ( ~ hskp21
    | c2_1(a1120) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f948,plain,
    ( ~ spl31_143
    | ~ spl31_47 ),
    inference(avatar_split_clause,[],[f115,f470,f945]) ).

fof(f115,axiom,
    ( ~ hskp8
    | ~ c2_1(a1088) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f943,plain,
    ( spl31_142
    | ~ spl31_47 ),
    inference(avatar_split_clause,[],[f77,f470,f940]) ).

fof(f77,axiom,
    ( ~ hskp8
    | c3_1(a1088) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f934,plain,
    ( spl31_139
    | spl31_58
    | spl31_60
    | ~ spl31_111 ),
    inference(avatar_split_clause,[],[f927,f750,f531,f522,f923]) ).

fof(f927,plain,
    ( c1_1(a1125)
    | c0_1(a1125)
    | spl31_60
    | ~ spl31_111 ),
    inference(resolution,[],[f533,f751]) ).

fof(f533,plain,
    ( ~ c2_1(a1125)
    | spl31_60 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f915,plain,
    ( ~ spl31_138
    | ~ spl31_38 ),
    inference(avatar_split_clause,[],[f105,f428,f912]) ).

fof(f105,axiom,
    ( ~ hskp14
    | ~ c2_1(a1097) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f910,plain,
    ( spl31_137
    | ~ spl31_38 ),
    inference(avatar_split_clause,[],[f69,f428,f907]) ).

fof(f69,axiom,
    ( ~ hskp14
    | c3_1(a1097) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f905,plain,
    ( spl31_90
    | spl31_38
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f147,f261,f428,f665]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f895,plain,
    ( spl31_135
    | spl31_27
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f143,f261,f377,f893]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f889,plain,
    ( ~ spl31_134
    | ~ spl31_130
    | ~ spl31_41
    | ~ spl31_78 ),
    inference(avatar_split_clause,[],[f875,f615,f443,f856,f886]) ).

fof(f856,plain,
    ( spl31_130
  <=> c1_1(a1094) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_130])]) ).

fof(f875,plain,
    ( ~ c1_1(a1094)
    | ~ c2_1(a1094)
    | ~ spl31_41
    | ~ spl31_78 ),
    inference(resolution,[],[f445,f616]) ).

fof(f445,plain,
    ( c0_1(a1094)
    | ~ spl31_41 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f874,plain,
    ( ~ spl31_133
    | ~ spl31_10 ),
    inference(avatar_split_clause,[],[f108,f295,f871]) ).

fof(f295,plain,
    ( spl31_10
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).

fof(f108,axiom,
    ( ~ hskp12
    | ~ c3_1(a1094) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f859,plain,
    ( spl31_130
    | ~ spl31_10 ),
    inference(avatar_split_clause,[],[f72,f295,f856]) ).

fof(f72,axiom,
    ( ~ hskp12
    | c1_1(a1094) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f849,plain,
    ( spl31_128
    | spl31_62
    | spl31_63
    | ~ spl31_111 ),
    inference(avatar_split_clause,[],[f843,f750,f546,f541,f846]) ).

fof(f843,plain,
    ( c1_1(a1095)
    | c0_1(a1095)
    | spl31_63
    | ~ spl31_111 ),
    inference(resolution,[],[f751,f548]) ).

fof(f548,plain,
    ( ~ c2_1(a1095)
    | spl31_63 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f832,plain,
    ( ~ spl31_49
    | ~ spl31_127
    | ~ spl31_29
    | ~ spl31_78 ),
    inference(avatar_split_clause,[],[f820,f615,f387,f829,f480]) ).

fof(f820,plain,
    ( ~ c1_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl31_29
    | ~ spl31_78 ),
    inference(resolution,[],[f616,f389]) ).

fof(f389,plain,
    ( c0_1(a1092)
    | ~ spl31_29 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f825,plain,
    ( ~ spl31_126
    | ~ spl31_28
    | ~ spl31_30
    | ~ spl31_76 ),
    inference(avatar_split_clause,[],[f817,f607,f392,f382,f822]) ).

fof(f817,plain,
    ( ~ c0_1(a1103)
    | ~ c2_1(a1103)
    | ~ spl31_30
    | ~ spl31_76 ),
    inference(resolution,[],[f608,f394]) ).

fof(f816,plain,
    ( spl31_125
    | spl31_98 ),
    inference(avatar_split_clause,[],[f249,f697,f813]) ).

fof(f811,plain,
    ( spl31_124
    | spl31_122 ),
    inference(avatar_split_clause,[],[f247,f799,f808]) ).

fof(f806,plain,
    ( spl31_123
    | spl31_78 ),
    inference(avatar_split_clause,[],[f245,f615,f803]) ).

fof(f801,plain,
    ( spl31_121
    | spl31_122 ),
    inference(avatar_split_clause,[],[f243,f799,f795]) ).

fof(f767,plain,
    ( spl31_114
    | spl31_80 ),
    inference(avatar_split_clause,[],[f233,f623,f764]) ).

fof(f762,plain,
    ( spl31_113
    | spl31_111 ),
    inference(avatar_split_clause,[],[f231,f750,f759]) ).

fof(f757,plain,
    ( spl31_112
    | spl31_76 ),
    inference(avatar_split_clause,[],[f229,f607,f754]) ).

fof(f752,plain,
    ( spl31_110
    | spl31_111 ),
    inference(avatar_split_clause,[],[f227,f750,f746]) ).

fof(f744,plain,
    ( spl31_108
    | spl31_109 ),
    inference(avatar_split_clause,[],[f225,f742,f738]) ).

fof(f736,plain,
    ( spl31_106
    | spl31_107 ),
    inference(avatar_split_clause,[],[f223,f734,f730]) ).

fof(f728,plain,
    ( spl31_104
    | spl31_105 ),
    inference(avatar_split_clause,[],[f221,f726,f722]) ).

fof(f720,plain,
    ( spl31_102
    | spl31_103 ),
    inference(avatar_split_clause,[],[f219,f718,f714]) ).

fof(f712,plain,
    ( spl31_101
    | spl31_80 ),
    inference(avatar_split_clause,[],[f217,f623,f709]) ).

fof(f675,plain,
    ( spl31_91
    | spl31_92 ),
    inference(avatar_split_clause,[],[f207,f673,f669]) ).

fof(f659,plain,
    ( spl31_87
    | spl31_88 ),
    inference(avatar_split_clause,[],[f203,f657,f653]) ).

fof(f643,plain,
    ( spl31_84
    | spl31_76 ),
    inference(avatar_split_clause,[],[f199,f607,f640]) ).

fof(f638,plain,
    ( spl31_83
    | spl31_78 ),
    inference(avatar_split_clause,[],[f197,f615,f635]) ).

fof(f633,plain,
    ( spl31_81
    | spl31_82 ),
    inference(avatar_split_clause,[],[f195,f631,f627]) ).

fof(f625,plain,
    ( spl31_79
    | spl31_80 ),
    inference(avatar_split_clause,[],[f193,f623,f619]) ).

fof(f609,plain,
    ( spl31_75
    | spl31_76 ),
    inference(avatar_split_clause,[],[f189,f607,f603]) ).

fof(f601,plain,
    ( ~ spl31_74
    | ~ spl31_2 ),
    inference(avatar_split_clause,[],[f132,f256,f598]) ).

fof(f256,plain,
    ( spl31_2
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).

fof(f132,axiom,
    ( ~ hskp0
    | ~ c2_1(a1080) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f596,plain,
    ( ~ spl31_73
    | ~ spl31_2 ),
    inference(avatar_split_clause,[],[f131,f256,f593]) ).

fof(f131,axiom,
    ( ~ hskp0
    | ~ c0_1(a1080) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f577,plain,
    ( ~ spl31_69
    | ~ spl31_68 ),
    inference(avatar_split_clause,[],[f117,f569,f574]) ).

fof(f117,axiom,
    ( ~ hskp7
    | ~ c1_1(a1087) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f572,plain,
    ( ~ spl31_67
    | ~ spl31_68 ),
    inference(avatar_split_clause,[],[f116,f569,f565]) ).

fof(f116,axiom,
    ( ~ hskp7
    | ~ c0_1(a1087) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f549,plain,
    ( ~ spl31_63
    | ~ spl31_9 ),
    inference(avatar_split_clause,[],[f107,f290,f546]) ).

fof(f107,axiom,
    ( ~ hskp13
    | ~ c2_1(a1095) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f544,plain,
    ( ~ spl31_62
    | ~ spl31_9 ),
    inference(avatar_split_clause,[],[f106,f290,f541]) ).

fof(f106,axiom,
    ( ~ hskp13
    | ~ c1_1(a1095) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f539,plain,
    ( ~ spl31_61
    | ~ spl31_8 ),
    inference(avatar_split_clause,[],[f98,f285,f536]) ).

fof(f98,axiom,
    ( ~ hskp18
    | ~ c1_1(a1103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f534,plain,
    ( ~ spl31_60
    | ~ spl31_59 ),
    inference(avatar_split_clause,[],[f89,f526,f531]) ).

fof(f89,axiom,
    ( ~ hskp25
    | ~ c2_1(a1125) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f529,plain,
    ( ~ spl31_58
    | ~ spl31_59 ),
    inference(avatar_split_clause,[],[f88,f526,f522]) ).

fof(f88,axiom,
    ( ~ hskp25
    | ~ c1_1(a1125) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f520,plain,
    ( spl31_57
    | ~ spl31_1 ),
    inference(avatar_split_clause,[],[f80,f252,f517]) ).

fof(f80,axiom,
    ( ~ hskp5
    | c2_1(a1085) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f515,plain,
    ( spl31_56
    | ~ spl31_2 ),
    inference(avatar_split_clause,[],[f84,f256,f512]) ).

fof(f84,axiom,
    ( ~ hskp0
    | c1_1(a1080) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f501,plain,
    ( spl31_52
    | ~ spl31_53 ),
    inference(avatar_split_clause,[],[f82,f498,f494]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c1_1(a1083) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f492,plain,
    ( spl31_50
    | ~ spl31_51 ),
    inference(avatar_split_clause,[],[f81,f489,f485]) ).

fof(f81,axiom,
    ( ~ hskp4
    | c0_1(a1084) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f483,plain,
    ( spl31_49
    | ~ spl31_5 ),
    inference(avatar_split_clause,[],[f47,f270,f480]) ).

fof(f47,axiom,
    ( ~ hskp28
    | c2_1(a1092) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f478,plain,
    ( spl31_48
    | ~ spl31_11 ),
    inference(avatar_split_clause,[],[f78,f300,f475]) ).

fof(f78,axiom,
    ( ~ hskp6
    | c0_1(a1086) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f473,plain,
    ( spl31_46
    | ~ spl31_47 ),
    inference(avatar_split_clause,[],[f76,f470,f466]) ).

fof(f76,axiom,
    ( ~ hskp8
    | c0_1(a1088) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f464,plain,
    ( spl31_44
    | ~ spl31_45 ),
    inference(avatar_split_clause,[],[f74,f461,f457]) ).

fof(f74,axiom,
    ( ~ hskp9
    | c2_1(a1089) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f455,plain,
    ( spl31_42
    | ~ spl31_43 ),
    inference(avatar_split_clause,[],[f73,f452,f448]) ).

fof(f73,axiom,
    ( ~ hskp11
    | c2_1(a1091) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f446,plain,
    ( spl31_41
    | ~ spl31_10 ),
    inference(avatar_split_clause,[],[f71,f295,f443]) ).

fof(f71,axiom,
    ( ~ hskp12
    | c0_1(a1094) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f436,plain,
    ( spl31_39
    | ~ spl31_9 ),
    inference(avatar_split_clause,[],[f70,f290,f433]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c3_1(a1095) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f431,plain,
    ( spl31_37
    | ~ spl31_38 ),
    inference(avatar_split_clause,[],[f68,f428,f424]) ).

fof(f68,axiom,
    ( ~ hskp14
    | c1_1(a1097) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f395,plain,
    ( spl31_30
    | ~ spl31_8 ),
    inference(avatar_split_clause,[],[f64,f285,f392]) ).

fof(f64,axiom,
    ( ~ hskp18
    | c3_1(a1103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f390,plain,
    ( spl31_29
    | ~ spl31_5 ),
    inference(avatar_split_clause,[],[f46,f270,f387]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c0_1(a1092) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f385,plain,
    ( spl31_28
    | ~ spl31_8 ),
    inference(avatar_split_clause,[],[f63,f285,f382]) ).

fof(f63,axiom,
    ( ~ hskp18
    | c0_1(a1103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f380,plain,
    ( spl31_26
    | ~ spl31_27 ),
    inference(avatar_split_clause,[],[f61,f377,f373]) ).

fof(f61,axiom,
    ( ~ hskp19
    | c0_1(a1113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f371,plain,
    ( spl31_24
    | ~ spl31_25 ),
    inference(avatar_split_clause,[],[f58,f368,f364]) ).

fof(f58,axiom,
    ( ~ hskp21
    | c1_1(a1120) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f353,plain,
    ( spl31_20
    | ~ spl31_21 ),
    inference(avatar_split_clause,[],[f54,f350,f346]) ).

fof(f54,axiom,
    ( ~ hskp23
    | c0_1(a1122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f344,plain,
    ( spl31_18
    | ~ spl31_19 ),
    inference(avatar_split_clause,[],[f52,f341,f337]) ).

fof(f52,axiom,
    ( ~ hskp24
    | c1_1(a1124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f335,plain,
    ( spl31_16
    | ~ spl31_17 ),
    inference(avatar_split_clause,[],[f50,f332,f328]) ).

fof(f50,axiom,
    ( ~ hskp26
    | c2_1(a1146) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f326,plain,
    ( spl31_14
    | ~ spl31_15 ),
    inference(avatar_split_clause,[],[f43,f323,f319]) ).

fof(f43,axiom,
    ( ~ hskp29
    | c1_1(a1101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f317,plain,
    ( spl31_12
    | ~ spl31_13 ),
    inference(avatar_split_clause,[],[f40,f314,f310]) ).

fof(f40,axiom,
    ( ~ hskp30
    | c0_1(a1109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f307,plain,
    ( spl31_5
    | spl31_11
    | spl31_8 ),
    inference(avatar_split_clause,[],[f35,f285,f300,f270]) ).

fof(f35,axiom,
    ( hskp18
    | hskp6
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f306,plain,
    ( spl31_9
    | spl31_4
    | spl31_10 ),
    inference(avatar_split_clause,[],[f34,f295,f265,f290]) ).

fof(f34,axiom,
    ( hskp12
    | hskp31
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f305,plain,
    ( spl31_3
    | ~ spl31_2 ),
    inference(avatar_split_clause,[],[f33,f256,f261]) ).

fof(f33,axiom,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f304,plain,
    ( spl31_3
    | ~ spl31_1 ),
    inference(avatar_split_clause,[],[f28,f252,f261]) ).

fof(f28,axiom,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

fof(f303,plain,
    ( spl31_3
    | ~ spl31_11 ),
    inference(avatar_split_clause,[],[f27,f300,f261]) ).

fof(f27,axiom,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f288,plain,
    ( spl31_3
    | ~ spl31_8 ),
    inference(avatar_split_clause,[],[f15,f285,f261]) ).

fof(f15,axiom,
    ( ~ hskp18
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

fof(f273,plain,
    ( spl31_3
    | ~ spl31_5 ),
    inference(avatar_split_clause,[],[f5,f270,f261]) ).

fof(f5,axiom,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f259,plain,
    ( spl31_1
    | spl31_2 ),
    inference(avatar_split_clause,[],[f1,f256,f252]) ).

fof(f1,axiom,
    ( hskp0
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN458-1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 02:12:32 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (17647)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (17650)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  % (17648)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (17649)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (17651)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  % (17652)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (17653)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (17654)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 [32]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [32]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [32]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [32]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  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]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [5]
% 0.15/0.41  TRYING [5]
% 0.15/0.41  % (17650)First to succeed.
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.41  % (17650)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42  % (17650)------------------------------
% 0.21/0.42  % (17650)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.42  % (17650)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (17650)Memory used [KB]: 1764
% 0.21/0.42  % (17650)Time elapsed: 0.042 s
% 0.21/0.42  % (17650)Instructions burned: 115 (million)
% 0.21/0.42  % (17650)------------------------------
% 0.21/0.42  % (17650)------------------------------
% 0.21/0.42  % (17647)Success in time 0.056 s
%------------------------------------------------------------------------------