TSTP Solution File: SYN505-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN505-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 : Wed Aug 31 19:38:36 EDT 2022

% Result   : Unsatisfiable 2.31s 0.66s
% Output   : Refutation 2.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  267
% Syntax   : Number of formulae    :  610 (   1 unt;   0 def)
%            Number of atoms       : 1909 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2245 ( 946   ~;1153   |;   0   &)
%                                         ( 146 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  177 ( 176 usr; 173 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  118 ( 118   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2329,plain,
    $false,
    inference(avatar_sat_refutation,[],[f278,f287,f296,f320,f339,f346,f359,f368,f373,f380,f387,f405,f416,f425,f430,f434,f439,f444,f458,f459,f463,f467,f478,f490,f495,f505,f510,f515,f538,f543,f561,f579,f584,f589,f593,f594,f602,f603,f619,f624,f629,f633,f638,f649,f656,f661,f666,f667,f679,f680,f690,f691,f696,f701,f706,f707,f708,f713,f718,f719,f723,f728,f733,f738,f743,f753,f758,f763,f769,f770,f774,f779,f784,f789,f804,f809,f811,f816,f826,f827,f828,f829,f830,f831,f832,f833,f838,f843,f848,f854,f855,f861,f883,f894,f899,f905,f910,f916,f917,f921,f923,f928,f930,f935,f945,f950,f967,f970,f981,f987,f988,f993,f999,f1000,f1005,f1010,f1015,f1016,f1017,f1022,f1027,f1041,f1056,f1068,f1080,f1093,f1105,f1106,f1111,f1116,f1126,f1133,f1148,f1153,f1155,f1158,f1169,f1173,f1180,f1187,f1195,f1207,f1214,f1227,f1251,f1252,f1255,f1298,f1299,f1319,f1338,f1365,f1367,f1395,f1413,f1423,f1491,f1502,f1646,f1708,f1733,f1734,f1820,f1821,f1840,f1841,f1867,f1891,f2012,f2049,f2051,f2053,f2074,f2075,f2079,f2080,f2088,f2108,f2117,f2157,f2158,f2159,f2163,f2164,f2189,f2195,f2196,f2209,f2211,f2212,f2216,f2217,f2246,f2321,f2323,f2326]) ).

fof(f2326,plain,
    ( ~ spl0_137
    | ~ spl0_38
    | ~ spl0_52
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2119,f599,f432,f365,f880]) ).

fof(f880,plain,
    ( spl0_137
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f365,plain,
    ( spl0_38
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f432,plain,
    ( spl0_52
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f599,plain,
    ( spl0_86
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2119,plain,
    ( ~ c3_1(a488)
    | ~ c1_1(a488)
    | ~ spl0_52
    | ~ spl0_86 ),
    inference(resolution,[],[f433,f601]) ).

fof(f601,plain,
    ( c2_1(a488)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f433,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f2323,plain,
    ( spl0_101
    | ~ spl0_88
    | ~ spl0_123
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2315,f1108,f802,f616,f687]) ).

fof(f687,plain,
    ( spl0_101
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f616,plain,
    ( spl0_88
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f802,plain,
    ( spl0_123
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1108,plain,
    ( spl0_169
  <=> c1_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2315,plain,
    ( ~ c0_1(a494)
    | c2_1(a494)
    | ~ spl0_123
    | ~ spl0_169 ),
    inference(resolution,[],[f803,f1110]) ).

fof(f1110,plain,
    ( c1_1(a494)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f803,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f2321,plain,
    ( ~ spl0_144
    | spl0_116
    | ~ spl0_123
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f2319,f1410,f802,f766,f925]) ).

fof(f925,plain,
    ( spl0_144
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f766,plain,
    ( spl0_116
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1410,plain,
    ( spl0_187
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f2319,plain,
    ( c2_1(a471)
    | ~ c0_1(a471)
    | ~ spl0_123
    | ~ spl0_187 ),
    inference(resolution,[],[f803,f1412]) ).

fof(f1412,plain,
    ( c1_1(a471)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f2246,plain,
    ( spl0_90
    | spl0_125
    | ~ spl0_74
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2242,f1058,f535,f813,f626]) ).

fof(f626,plain,
    ( spl0_90
  <=> c2_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f813,plain,
    ( spl0_125
  <=> c0_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f535,plain,
    ( spl0_74
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1058,plain,
    ( spl0_166
  <=> c1_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2242,plain,
    ( c0_1(a521)
    | c2_1(a521)
    | ~ spl0_74
    | ~ spl0_166 ),
    inference(resolution,[],[f1060,f536]) ).

fof(f536,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f1060,plain,
    ( c1_1(a521)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f2217,plain,
    ( ~ spl0_79
    | spl0_167
    | ~ spl0_59
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1953,f710,f465,f1077,f558]) ).

fof(f558,plain,
    ( spl0_79
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1077,plain,
    ( spl0_167
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f465,plain,
    ( spl0_59
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f710,plain,
    ( spl0_105
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1953,plain,
    ( c0_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_59
    | ~ spl0_105 ),
    inference(resolution,[],[f466,f712]) ).

fof(f712,plain,
    ( c3_1(a472)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f466,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f2216,plain,
    ( ~ spl0_97
    | spl0_142
    | ~ spl0_91
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2065,f1123,f631,f907,f663]) ).

fof(f663,plain,
    ( spl0_97
  <=> c1_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f907,plain,
    ( spl0_142
  <=> c0_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f631,plain,
    ( spl0_91
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1123,plain,
    ( spl0_171
  <=> c2_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2065,plain,
    ( c0_1(a481)
    | ~ c1_1(a481)
    | ~ spl0_91
    | ~ spl0_171 ),
    inference(resolution,[],[f632,f1125]) ).

fof(f1125,plain,
    ( c2_1(a481)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f632,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f2212,plain,
    ( ~ spl0_167
    | spl0_89
    | ~ spl0_105
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2204,f772,f710,f621,f1077]) ).

fof(f621,plain,
    ( spl0_89
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f772,plain,
    ( spl0_117
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2204,plain,
    ( c2_1(a472)
    | ~ c0_1(a472)
    | ~ spl0_105
    | ~ spl0_117 ),
    inference(resolution,[],[f773,f712]) ).

fof(f773,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f2211,plain,
    ( spl0_116
    | ~ spl0_144
    | ~ spl0_113
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2205,f772,f750,f925,f766]) ).

fof(f750,plain,
    ( spl0_113
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2205,plain,
    ( ~ c0_1(a471)
    | c2_1(a471)
    | ~ spl0_113
    | ~ spl0_117 ),
    inference(resolution,[],[f773,f752]) ).

fof(f752,plain,
    ( c3_1(a471)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f2209,plain,
    ( ~ spl0_64
    | spl0_175
    | ~ spl0_115
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2202,f772,f760,f1166,f487]) ).

fof(f487,plain,
    ( spl0_64
  <=> c0_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1166,plain,
    ( spl0_175
  <=> c2_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f760,plain,
    ( spl0_115
  <=> c3_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2202,plain,
    ( c2_1(a479)
    | ~ c0_1(a479)
    | ~ spl0_115
    | ~ spl0_117 ),
    inference(resolution,[],[f773,f762]) ).

fof(f762,plain,
    ( c3_1(a479)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f2196,plain,
    ( ~ spl0_160
    | spl0_130
    | ~ spl0_107
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2173,f1295,f721,f845,f1019]) ).

fof(f1019,plain,
    ( spl0_160
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f845,plain,
    ( spl0_130
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f721,plain,
    ( spl0_107
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1295,plain,
    ( spl0_183
  <=> c2_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f2173,plain,
    ( c3_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_107
    | ~ spl0_183 ),
    inference(resolution,[],[f722,f1297]) ).

fof(f1297,plain,
    ( c2_1(a559)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1295]) ).

fof(f722,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f2195,plain,
    ( ~ spl0_132
    | spl0_159
    | ~ spl0_104
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2178,f721,f703,f1012,f858]) ).

fof(f858,plain,
    ( spl0_132
  <=> c0_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1012,plain,
    ( spl0_159
  <=> c3_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f703,plain,
    ( spl0_104
  <=> c2_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2178,plain,
    ( c3_1(a484)
    | ~ c0_1(a484)
    | ~ spl0_104
    | ~ spl0_107 ),
    inference(resolution,[],[f722,f705]) ).

fof(f705,plain,
    ( c2_1(a484)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f2189,plain,
    ( ~ spl0_155
    | spl0_35
    | ~ spl0_107
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2183,f1420,f721,f352,f990]) ).

fof(f990,plain,
    ( spl0_155
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f352,plain,
    ( spl0_35
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1420,plain,
    ( spl0_188
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f2183,plain,
    ( c3_1(a467)
    | ~ c0_1(a467)
    | ~ spl0_107
    | ~ spl0_188 ),
    inference(resolution,[],[f722,f1422]) ).

fof(f1422,plain,
    ( c2_1(a467)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1420]) ).

fof(f2164,plain,
    ( spl0_178
    | spl0_111
    | ~ spl0_98
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2148,f776,f672,f740,f1209]) ).

fof(f1209,plain,
    ( spl0_178
  <=> c1_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f740,plain,
    ( spl0_111
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f672,plain,
    ( spl0_98
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f776,plain,
    ( spl0_118
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2148,plain,
    ( c3_1(a478)
    | c1_1(a478)
    | ~ spl0_98
    | ~ spl0_118 ),
    inference(resolution,[],[f673,f778]) ).

fof(f778,plain,
    ( c2_1(a478)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f673,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f2163,plain,
    ( spl0_99
    | spl0_151
    | ~ spl0_98
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2152,f781,f672,f964,f676]) ).

fof(f676,plain,
    ( spl0_99
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f964,plain,
    ( spl0_151
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f781,plain,
    ( spl0_119
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2152,plain,
    ( c1_1(a463)
    | c3_1(a463)
    | ~ spl0_98
    | ~ spl0_119 ),
    inference(resolution,[],[f673,f783]) ).

fof(f783,plain,
    ( c2_1(a463)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f2159,plain,
    ( spl0_159
    | spl0_193
    | ~ spl0_98
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2145,f703,f672,f2114,f1012]) ).

fof(f2114,plain,
    ( spl0_193
  <=> c1_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f2145,plain,
    ( c1_1(a484)
    | c3_1(a484)
    | ~ spl0_98
    | ~ spl0_104 ),
    inference(resolution,[],[f673,f705]) ).

fof(f2158,plain,
    ( spl0_96
    | spl0_163
    | ~ spl0_56
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2153,f672,f451,f1038,f658]) ).

fof(f658,plain,
    ( spl0_96
  <=> c1_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1038,plain,
    ( spl0_163
  <=> c3_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f451,plain,
    ( spl0_56
  <=> c2_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2153,plain,
    ( c3_1(a462)
    | c1_1(a462)
    | ~ spl0_56
    | ~ spl0_98 ),
    inference(resolution,[],[f673,f453]) ).

fof(f453,plain,
    ( c2_1(a462)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f2157,plain,
    ( spl0_35
    | spl0_129
    | ~ spl0_98
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2150,f1420,f672,f840,f352]) ).

fof(f840,plain,
    ( spl0_129
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2150,plain,
    ( c1_1(a467)
    | c3_1(a467)
    | ~ spl0_98
    | ~ spl0_188 ),
    inference(resolution,[],[f673,f1422]) ).

fof(f2117,plain,
    ( ~ spl0_193
    | ~ spl0_132
    | ~ spl0_34
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2112,f703,f348,f858,f2114]) ).

fof(f348,plain,
    ( spl0_34
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2112,plain,
    ( ~ c0_1(a484)
    | ~ c1_1(a484)
    | ~ spl0_34
    | ~ spl0_104 ),
    inference(resolution,[],[f705,f349]) ).

fof(f349,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f2108,plain,
    ( ~ spl0_120
    | ~ spl0_156
    | ~ spl0_3
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2091,f586,f218,f996,f786]) ).

fof(f786,plain,
    ( spl0_120
  <=> c0_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f996,plain,
    ( spl0_156
  <=> c3_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f218,plain,
    ( spl0_3
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f586,plain,
    ( spl0_84
  <=> c2_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2091,plain,
    ( ~ c3_1(a469)
    | ~ c0_1(a469)
    | ~ spl0_3
    | ~ spl0_84 ),
    inference(resolution,[],[f219,f588]) ).

fof(f588,plain,
    ( c2_1(a469)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f219,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f2088,plain,
    ( spl0_184
    | spl0_154
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2083,f540,f535,f984,f1316]) ).

fof(f1316,plain,
    ( spl0_184
  <=> c2_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f984,plain,
    ( spl0_154
  <=> c0_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f540,plain,
    ( spl0_75
  <=> c1_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2083,plain,
    ( c0_1(a545)
    | c2_1(a545)
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(resolution,[],[f542,f536]) ).

fof(f542,plain,
    ( c1_1(a545)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f2080,plain,
    ( spl0_154
    | ~ spl0_75
    | ~ spl0_91
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f2058,f1316,f631,f540,f984]) ).

fof(f2058,plain,
    ( ~ c1_1(a545)
    | c0_1(a545)
    | ~ spl0_91
    | ~ spl0_184 ),
    inference(resolution,[],[f632,f1318]) ).

fof(f1318,plain,
    ( c2_1(a545)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1316]) ).

fof(f2079,plain,
    ( ~ spl0_75
    | spl0_154
    | ~ spl0_59
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1944,f851,f465,f984,f540]) ).

fof(f851,plain,
    ( spl0_131
  <=> c3_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1944,plain,
    ( c0_1(a545)
    | ~ c1_1(a545)
    | ~ spl0_59
    | ~ spl0_131 ),
    inference(resolution,[],[f466,f853]) ).

fof(f853,plain,
    ( c3_1(a545)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f2075,plain,
    ( ~ spl0_178
    | spl0_148
    | ~ spl0_91
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2066,f776,f631,f947,f1209]) ).

fof(f947,plain,
    ( spl0_148
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2066,plain,
    ( c0_1(a478)
    | ~ c1_1(a478)
    | ~ spl0_91
    | ~ spl0_118 ),
    inference(resolution,[],[f632,f778]) ).

fof(f2074,plain,
    ( ~ spl0_48
    | spl0_127
    | ~ spl0_40
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2064,f631,f377,f823,f413]) ).

fof(f413,plain,
    ( spl0_48
  <=> c1_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f823,plain,
    ( spl0_127
  <=> c0_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f377,plain,
    ( spl0_40
  <=> c2_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2064,plain,
    ( c0_1(a483)
    | ~ c1_1(a483)
    | ~ spl0_40
    | ~ spl0_91 ),
    inference(resolution,[],[f632,f379]) ).

fof(f379,plain,
    ( c2_1(a483)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f2053,plain,
    ( ~ spl0_82
    | spl0_140
    | ~ spl0_85
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2037,f913,f591,f896,f576]) ).

fof(f576,plain,
    ( spl0_82
  <=> c3_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f896,plain,
    ( spl0_140
  <=> c0_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f591,plain,
    ( spl0_85
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f913,plain,
    ( spl0_143
  <=> c2_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2037,plain,
    ( c0_1(a493)
    | ~ c3_1(a493)
    | ~ spl0_85
    | ~ spl0_143 ),
    inference(resolution,[],[f592,f915]) ).

fof(f915,plain,
    ( c2_1(a493)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f592,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f2051,plain,
    ( spl0_176
    | ~ spl0_147
    | ~ spl0_85
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2041,f646,f591,f942,f1177]) ).

fof(f1177,plain,
    ( spl0_176
  <=> c0_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f942,plain,
    ( spl0_147
  <=> c3_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f646,plain,
    ( spl0_94
  <=> c2_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2041,plain,
    ( ~ c3_1(a477)
    | c0_1(a477)
    | ~ spl0_85
    | ~ spl0_94 ),
    inference(resolution,[],[f592,f648]) ).

fof(f648,plain,
    ( c2_1(a477)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f2049,plain,
    ( spl0_39
    | ~ spl0_65
    | ~ spl0_85
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2043,f1150,f591,f492,f370]) ).

fof(f370,plain,
    ( spl0_39
  <=> c0_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f492,plain,
    ( spl0_65
  <=> c3_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1150,plain,
    ( spl0_174
  <=> c2_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2043,plain,
    ( ~ c3_1(a465)
    | c0_1(a465)
    | ~ spl0_85
    | ~ spl0_174 ),
    inference(resolution,[],[f592,f1152]) ).

fof(f1152,plain,
    ( c2_1(a465)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f2012,plain,
    ( spl0_129
    | spl0_35
    | ~ spl0_76
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2001,f990,f545,f352,f840]) ).

fof(f545,plain,
    ( spl0_76
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2001,plain,
    ( c3_1(a467)
    | c1_1(a467)
    | ~ spl0_76
    | ~ spl0_155 ),
    inference(resolution,[],[f546,f992]) ).

fof(f992,plain,
    ( c0_1(a467)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f546,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1891,plain,
    ( spl0_68
    | spl0_51
    | ~ spl0_32
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1889,f1113,f341,f427,f507]) ).

fof(f507,plain,
    ( spl0_68
  <=> c0_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f427,plain,
    ( spl0_51
  <=> c2_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f341,plain,
    ( spl0_32
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1113,plain,
    ( spl0_170
  <=> c3_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1889,plain,
    ( c2_1(a470)
    | c0_1(a470)
    | ~ spl0_32
    | ~ spl0_170 ),
    inference(resolution,[],[f342,f1115]) ).

fof(f1115,plain,
    ( c3_1(a470)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f342,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f1867,plain,
    ( spl0_101
    | spl0_145
    | ~ spl0_73
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1858,f616,f532,f932,f687]) ).

fof(f932,plain,
    ( spl0_145
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f532,plain,
    ( spl0_73
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1858,plain,
    ( c3_1(a494)
    | c2_1(a494)
    | ~ spl0_73
    | ~ spl0_88 ),
    inference(resolution,[],[f533,f618]) ).

fof(f618,plain,
    ( c0_1(a494)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f533,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f1841,plain,
    ( spl0_109
    | spl0_39
    | ~ spl0_65
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1835,f523,f492,f370,f730]) ).

fof(f730,plain,
    ( spl0_109
  <=> c1_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f523,plain,
    ( spl0_71
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1835,plain,
    ( c0_1(a465)
    | c1_1(a465)
    | ~ spl0_65
    | ~ spl0_71 ),
    inference(resolution,[],[f524,f494]) ).

fof(f494,plain,
    ( c3_1(a465)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f524,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f1840,plain,
    ( spl0_176
    | spl0_92
    | ~ spl0_71
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1832,f942,f523,f635,f1177]) ).

fof(f635,plain,
    ( spl0_92
  <=> c1_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1832,plain,
    ( c1_1(a477)
    | c0_1(a477)
    | ~ spl0_71
    | ~ spl0_147 ),
    inference(resolution,[],[f524,f944]) ).

fof(f944,plain,
    ( c3_1(a477)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f1821,plain,
    ( spl0_158
    | ~ spl0_64
    | ~ spl0_63
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1811,f760,f483,f487,f1007]) ).

fof(f1007,plain,
    ( spl0_158
  <=> c1_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f483,plain,
    ( spl0_63
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1811,plain,
    ( ~ c0_1(a479)
    | c1_1(a479)
    | ~ spl0_63
    | ~ spl0_115 ),
    inference(resolution,[],[f484,f762]) ).

fof(f484,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f1820,plain,
    ( spl0_187
    | ~ spl0_144
    | ~ spl0_63
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1814,f750,f483,f925,f1410]) ).

fof(f1814,plain,
    ( ~ c0_1(a471)
    | c1_1(a471)
    | ~ spl0_63
    | ~ spl0_113 ),
    inference(resolution,[],[f484,f752]) ).

fof(f1734,plain,
    ( ~ spl0_124
    | ~ spl0_162
    | ~ spl0_52
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1691,f693,f432,f1033,f806]) ).

fof(f806,plain,
    ( spl0_124
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1033,plain,
    ( spl0_162
  <=> c3_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f693,plain,
    ( spl0_102
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1691,plain,
    ( ~ c3_1(a474)
    | ~ c1_1(a474)
    | ~ spl0_52
    | ~ spl0_102 ),
    inference(resolution,[],[f433,f695]) ).

fof(f695,plain,
    ( c2_1(a474)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f1733,plain,
    ( ~ spl0_187
    | spl0_116
    | ~ spl0_58
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1724,f750,f461,f766,f1410]) ).

fof(f461,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1724,plain,
    ( c2_1(a471)
    | ~ c1_1(a471)
    | ~ spl0_58
    | ~ spl0_113 ),
    inference(resolution,[],[f462,f752]) ).

fof(f462,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f1708,plain,
    ( ~ spl0_131
    | ~ spl0_75
    | ~ spl0_52
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1693,f1316,f432,f540,f851]) ).

fof(f1693,plain,
    ( ~ c1_1(a545)
    | ~ c3_1(a545)
    | ~ spl0_52
    | ~ spl0_184 ),
    inference(resolution,[],[f433,f1318]) ).

fof(f1646,plain,
    ( ~ spl0_20
    | ~ spl0_160
    | ~ spl0_34
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1628,f1295,f348,f1019,f289]) ).

fof(f289,plain,
    ( spl0_20
  <=> c1_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1628,plain,
    ( ~ c0_1(a559)
    | ~ c1_1(a559)
    | ~ spl0_34
    | ~ spl0_183 ),
    inference(resolution,[],[f349,f1297]) ).

fof(f1502,plain,
    ( spl0_68
    | spl0_157
    | ~ spl0_5
    | spl0_51 ),
    inference(avatar_split_clause,[],[f1501,f427,f226,f1002,f507]) ).

fof(f1002,plain,
    ( spl0_157
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f226,plain,
    ( spl0_5
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1501,plain,
    ( c1_1(a470)
    | c0_1(a470)
    | ~ spl0_5
    | spl0_51 ),
    inference(resolution,[],[f429,f227]) ).

fof(f227,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f429,plain,
    ( ~ c2_1(a470)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1491,plain,
    ( spl0_153
    | spl0_142
    | ~ spl0_13
    | spl0_171 ),
    inference(avatar_split_clause,[],[f1483,f1123,f261,f907,f978]) ).

fof(f978,plain,
    ( spl0_153
  <=> c3_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f261,plain,
    ( spl0_13
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1483,plain,
    ( c0_1(a481)
    | c3_1(a481)
    | ~ spl0_13
    | spl0_171 ),
    inference(resolution,[],[f262,f1124]) ).

fof(f1124,plain,
    ( ~ c2_1(a481)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f262,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f1423,plain,
    ( spl0_129
    | spl0_188
    | ~ spl0_33
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1418,f990,f344,f1420,f840]) ).

fof(f344,plain,
    ( spl0_33
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1418,plain,
    ( c2_1(a467)
    | c1_1(a467)
    | ~ spl0_33
    | ~ spl0_155 ),
    inference(resolution,[],[f992,f345]) ).

fof(f345,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f1413,plain,
    ( spl0_116
    | spl0_187
    | ~ spl0_33
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1408,f925,f344,f1410,f766]) ).

fof(f1408,plain,
    ( c1_1(a471)
    | c2_1(a471)
    | ~ spl0_33
    | ~ spl0_144 ),
    inference(resolution,[],[f927,f345]) ).

fof(f927,plain,
    ( c0_1(a471)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f1395,plain,
    ( spl0_89
    | spl0_167
    | ~ spl0_32
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1311,f710,f341,f1077,f621]) ).

fof(f1311,plain,
    ( c0_1(a472)
    | c2_1(a472)
    | ~ spl0_32
    | ~ spl0_105 ),
    inference(resolution,[],[f342,f712]) ).

fof(f1367,plain,
    ( spl0_184
    | ~ spl0_75
    | ~ spl0_58
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1353,f851,f461,f540,f1316]) ).

fof(f1353,plain,
    ( ~ c1_1(a545)
    | c2_1(a545)
    | ~ spl0_58
    | ~ spl0_131 ),
    inference(resolution,[],[f462,f853]) ).

fof(f1365,plain,
    ( ~ spl0_79
    | spl0_89
    | ~ spl0_58
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1360,f710,f461,f621,f558]) ).

fof(f1360,plain,
    ( c2_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_58
    | ~ spl0_105 ),
    inference(resolution,[],[f462,f712]) ).

fof(f1338,plain,
    ( spl0_96
    | ~ spl0_108
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1336,f451,f385,f725,f658]) ).

fof(f725,plain,
    ( spl0_108
  <=> c0_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f385,plain,
    ( spl0_42
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1336,plain,
    ( ~ c0_1(a462)
    | c1_1(a462)
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(resolution,[],[f386,f453]) ).

fof(f386,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1319,plain,
    ( spl0_184
    | spl0_154
    | ~ spl0_32
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1304,f851,f341,f984,f1316]) ).

fof(f1304,plain,
    ( c0_1(a545)
    | c2_1(a545)
    | ~ spl0_32
    | ~ spl0_131 ),
    inference(resolution,[],[f342,f853]) ).

fof(f1299,plain,
    ( spl0_101
    | spl0_145
    | ~ spl0_27
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1281,f1108,f318,f932,f687]) ).

fof(f318,plain,
    ( spl0_27
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1281,plain,
    ( c3_1(a494)
    | c2_1(a494)
    | ~ spl0_27
    | ~ spl0_169 ),
    inference(resolution,[],[f319,f1110]) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f1298,plain,
    ( spl0_130
    | spl0_183
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1277,f318,f289,f1295,f845]) ).

fof(f1277,plain,
    ( c2_1(a559)
    | c3_1(a559)
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(resolution,[],[f319,f291]) ).

fof(f291,plain,
    ( c1_1(a559)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f1255,plain,
    ( spl0_142
    | spl0_153
    | ~ spl0_16
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1254,f1123,f272,f978,f907]) ).

fof(f272,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1254,plain,
    ( c3_1(a481)
    | c0_1(a481)
    | ~ spl0_16
    | ~ spl0_171 ),
    inference(resolution,[],[f1125,f273]) ).

fof(f273,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f1252,plain,
    ( spl0_130
    | ~ spl0_160
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1239,f302,f289,f1019,f845]) ).

fof(f302,plain,
    ( spl0_23
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1239,plain,
    ( ~ c0_1(a559)
    | c3_1(a559)
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(resolution,[],[f303,f291]) ).

fof(f303,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f1251,plain,
    ( spl0_145
    | ~ spl0_88
    | ~ spl0_23
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1242,f1108,f302,f616,f932]) ).

fof(f1242,plain,
    ( ~ c0_1(a494)
    | c3_1(a494)
    | ~ spl0_23
    | ~ spl0_169 ),
    inference(resolution,[],[f303,f1110]) ).

fof(f1227,plain,
    ( spl0_106
    | spl0_139
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1226,f1053,f344,f891,f715]) ).

fof(f715,plain,
    ( spl0_106
  <=> c2_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f891,plain,
    ( spl0_139
  <=> c1_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1053,plain,
    ( spl0_165
  <=> c0_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1226,plain,
    ( c1_1(a482)
    | c2_1(a482)
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(resolution,[],[f1055,f345]) ).

fof(f1055,plain,
    ( c0_1(a482)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1214,plain,
    ( spl0_128
    | spl0_103
    | ~ spl0_33
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1213,f581,f344,f698,f835]) ).

fof(f835,plain,
    ( spl0_128
  <=> c1_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f698,plain,
    ( spl0_103
  <=> c2_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f581,plain,
    ( spl0_83
  <=> c0_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1213,plain,
    ( c2_1(a487)
    | c1_1(a487)
    | ~ spl0_33
    | ~ spl0_83 ),
    inference(resolution,[],[f583,f345]) ).

fof(f583,plain,
    ( c0_1(a487)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f1207,plain,
    ( ~ spl0_48
    | ~ spl0_172
    | ~ spl0_40
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1203,f432,f377,f1130,f413]) ).

fof(f1130,plain,
    ( spl0_172
  <=> c3_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1203,plain,
    ( ~ c3_1(a483)
    | ~ c1_1(a483)
    | ~ spl0_40
    | ~ spl0_52 ),
    inference(resolution,[],[f433,f379]) ).

fof(f1195,plain,
    ( spl0_153
    | spl0_142
    | ~ spl0_41
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1193,f663,f382,f907,f978]) ).

fof(f382,plain,
    ( spl0_41
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1193,plain,
    ( c0_1(a481)
    | c3_1(a481)
    | ~ spl0_41
    | ~ spl0_97 ),
    inference(resolution,[],[f383,f665]) ).

fof(f665,plain,
    ( c1_1(a481)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f383,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1187,plain,
    ( ~ spl0_124
    | ~ spl0_30
    | ~ spl0_34
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1181,f693,f348,f332,f806]) ).

fof(f332,plain,
    ( spl0_30
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1181,plain,
    ( ~ c0_1(a474)
    | ~ c1_1(a474)
    | ~ spl0_34
    | ~ spl0_102 ),
    inference(resolution,[],[f349,f695]) ).

fof(f1180,plain,
    ( ~ spl0_147
    | ~ spl0_176
    | ~ spl0_3
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1175,f646,f218,f1177,f942]) ).

fof(f1175,plain,
    ( ~ c0_1(a477)
    | ~ c3_1(a477)
    | ~ spl0_3
    | ~ spl0_94 ),
    inference(resolution,[],[f648,f219]) ).

fof(f1173,plain,
    ( ~ spl0_64
    | ~ spl0_115
    | ~ spl0_3
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1172,f1166,f218,f760,f487]) ).

fof(f1172,plain,
    ( ~ c3_1(a479)
    | ~ c0_1(a479)
    | ~ spl0_3
    | ~ spl0_175 ),
    inference(resolution,[],[f1168,f219]) ).

fof(f1168,plain,
    ( c2_1(a479)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f1169,plain,
    ( spl0_175
    | spl0_158
    | ~ spl0_33
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1163,f487,f344,f1007,f1166]) ).

fof(f1163,plain,
    ( c1_1(a479)
    | c2_1(a479)
    | ~ spl0_33
    | ~ spl0_64 ),
    inference(resolution,[],[f345,f489]) ).

fof(f489,plain,
    ( c0_1(a479)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f1158,plain,
    ( spl0_148
    | spl0_111
    | ~ spl0_16
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1156,f776,f272,f740,f947]) ).

fof(f1156,plain,
    ( c3_1(a478)
    | c0_1(a478)
    | ~ spl0_16
    | ~ spl0_118 ),
    inference(resolution,[],[f778,f273]) ).

fof(f1155,plain,
    ( spl0_53
    | spl0_161
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1147,f422,f341,f1024,f436]) ).

fof(f436,plain,
    ( spl0_53
  <=> c0_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1024,plain,
    ( spl0_161
  <=> c2_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f422,plain,
    ( spl0_50
  <=> c3_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1147,plain,
    ( c2_1(a464)
    | c0_1(a464)
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(resolution,[],[f342,f424]) ).

fof(f424,plain,
    ( c3_1(a464)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1153,plain,
    ( spl0_39
    | spl0_174
    | ~ spl0_32
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1146,f492,f341,f1150,f370]) ).

fof(f1146,plain,
    ( c2_1(a465)
    | c0_1(a465)
    | ~ spl0_32
    | ~ spl0_65 ),
    inference(resolution,[],[f342,f494]) ).

fof(f1148,plain,
    ( spl0_106
    | spl0_165
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1143,f755,f341,f1053,f715]) ).

fof(f755,plain,
    ( spl0_114
  <=> c3_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1143,plain,
    ( c0_1(a482)
    | c2_1(a482)
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(resolution,[],[f342,f757]) ).

fof(f757,plain,
    ( c3_1(a482)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f1133,plain,
    ( spl0_127
    | spl0_172
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1127,f377,f272,f1130,f823]) ).

fof(f1127,plain,
    ( c3_1(a483)
    | c0_1(a483)
    | ~ spl0_16
    | ~ spl0_40 ),
    inference(resolution,[],[f379,f273]) ).

fof(f1126,plain,
    ( spl0_171
    | spl0_153
    | ~ spl0_27
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1120,f663,f318,f978,f1123]) ).

fof(f1120,plain,
    ( c3_1(a481)
    | c2_1(a481)
    | ~ spl0_27
    | ~ spl0_97 ),
    inference(resolution,[],[f319,f665]) ).

fof(f1116,plain,
    ( spl0_157
    | spl0_170
    | ~ spl0_26
    | spl0_51 ),
    inference(avatar_split_clause,[],[f1103,f427,f315,f1113,f1002]) ).

fof(f315,plain,
    ( spl0_26
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1103,plain,
    ( c3_1(a470)
    | c1_1(a470)
    | ~ spl0_26
    | spl0_51 ),
    inference(resolution,[],[f316,f429]) ).

fof(f316,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f1111,plain,
    ( spl0_169
    | spl0_145
    | ~ spl0_26
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1097,f687,f315,f932,f1108]) ).

fof(f1097,plain,
    ( c3_1(a494)
    | c1_1(a494)
    | ~ spl0_26
    | spl0_101 ),
    inference(resolution,[],[f316,f689]) ).

fof(f689,plain,
    ( ~ c2_1(a494)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f1106,plain,
    ( spl0_46
    | spl0_110
    | ~ spl0_26
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1101,f502,f315,f735,f402]) ).

fof(f402,plain,
    ( spl0_46
  <=> c1_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f735,plain,
    ( spl0_110
  <=> c3_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f502,plain,
    ( spl0_67
  <=> c2_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1101,plain,
    ( c3_1(a576)
    | c1_1(a576)
    | ~ spl0_26
    | spl0_67 ),
    inference(resolution,[],[f316,f504]) ).

fof(f504,plain,
    ( ~ c2_1(a576)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f1105,plain,
    ( spl0_166
    | spl0_60
    | ~ spl0_26
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1102,f626,f315,f471,f1058]) ).

fof(f471,plain,
    ( spl0_60
  <=> c3_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1102,plain,
    ( c3_1(a521)
    | c1_1(a521)
    | ~ spl0_26
    | spl0_90 ),
    inference(resolution,[],[f316,f628]) ).

fof(f628,plain,
    ( ~ c2_1(a521)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f1093,plain,
    ( spl0_162
    | ~ spl0_30
    | ~ spl0_23
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1090,f806,f302,f332,f1033]) ).

fof(f1090,plain,
    ( ~ c0_1(a474)
    | c3_1(a474)
    | ~ spl0_23
    | ~ spl0_124 ),
    inference(resolution,[],[f303,f808]) ).

fof(f808,plain,
    ( c1_1(a474)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f1080,plain,
    ( ~ spl0_167
    | ~ spl0_79
    | ~ spl0_14
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1072,f710,f264,f558,f1077]) ).

fof(f264,plain,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1072,plain,
    ( ~ c1_1(a472)
    | ~ c0_1(a472)
    | ~ spl0_14
    | ~ spl0_105 ),
    inference(resolution,[],[f265,f712]) ).

fof(f265,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f1068,plain,
    ( spl0_60
    | spl0_125
    | ~ spl0_13
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1067,f626,f261,f813,f471]) ).

fof(f1067,plain,
    ( c0_1(a521)
    | c3_1(a521)
    | ~ spl0_13
    | spl0_90 ),
    inference(resolution,[],[f262,f628]) ).

fof(f1056,plain,
    ( spl0_139
    | spl0_165
    | ~ spl0_5
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1044,f715,f226,f1053,f891]) ).

fof(f1044,plain,
    ( c0_1(a482)
    | c1_1(a482)
    | ~ spl0_5
    | spl0_106 ),
    inference(resolution,[],[f227,f717]) ).

fof(f717,plain,
    ( ~ c2_1(a482)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f1041,plain,
    ( ~ spl0_108
    | ~ spl0_163
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1029,f451,f218,f1038,f725]) ).

fof(f1029,plain,
    ( ~ c3_1(a462)
    | ~ c0_1(a462)
    | ~ spl0_3
    | ~ spl0_56 ),
    inference(resolution,[],[f219,f453]) ).

fof(f1027,plain,
    ( ~ spl0_49
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f136,f1024,f418]) ).

fof(f418,plain,
    ( spl0_49
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f136,axiom,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f1022,plain,
    ( ~ spl0_21
    | spl0_160 ),
    inference(avatar_split_clause,[],[f56,f1019,f293]) ).

fof(f293,plain,
    ( spl0_21
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f56,axiom,
    ( c0_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f1017,plain,
    ( spl0_49
    | spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f37,f475,f293,f418]) ).

fof(f475,plain,
    ( spl0_61
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f37,axiom,
    ( hskp23
    | hskp26
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f1016,plain,
    ( spl0_25
    | spl0_57
    | spl0_69 ),
    inference(avatar_split_clause,[],[f39,f512,f455,f311]) ).

fof(f311,plain,
    ( spl0_25
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f455,plain,
    ( spl0_57
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f512,plain,
    ( spl0_69
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f39,axiom,
    ( hskp25
    | hskp0
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f1015,plain,
    ( ~ spl0_19
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f113,f1012,f284]) ).

fof(f284,plain,
    ( spl0_19
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f113,axiom,
    ( ~ c3_1(a484)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f1010,plain,
    ( ~ spl0_24
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f119,f1007,f306]) ).

fof(f306,plain,
    ( spl0_24
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f119,axiom,
    ( ~ c1_1(a479)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f1005,plain,
    ( ~ spl0_12
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f126,f1002,f257]) ).

fof(f257,plain,
    ( spl0_12
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f126,axiom,
    ( ~ c1_1(a470)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f1000,plain,
    ( spl0_78
    | ~ spl0_4
    | spl0_71
    | spl0_52 ),
    inference(avatar_split_clause,[],[f188,f432,f523,f221,f553]) ).

fof(f553,plain,
    ( spl0_78
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f221,plain,
    ( spl0_4
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | hskp28
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f999,plain,
    ( spl0_156
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f55,f553,f996]) ).

fof(f55,axiom,
    ( ~ hskp28
    | c3_1(a469) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f993,plain,
    ( ~ spl0_36
    | spl0_155 ),
    inference(avatar_split_clause,[],[f86,f990,f356]) ).

fof(f356,plain,
    ( spl0_36
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f86,axiom,
    ( c0_1(a467)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f988,plain,
    ( spl0_33
    | ~ spl0_4
    | spl0_91 ),
    inference(avatar_split_clause,[],[f179,f631,f221,f344]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f987,plain,
    ( ~ spl0_154
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f96,f512,f984]) ).

fof(f96,axiom,
    ( ~ hskp25
    | ~ c0_1(a545) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f981,plain,
    ( ~ spl0_153
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f118,f441,f978]) ).

fof(f441,plain,
    ( spl0_54
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f118,axiom,
    ( ~ hskp12
    | ~ c3_1(a481) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f970,plain,
    ( ~ spl0_4
    | spl0_57
    | spl0_107
    | spl0_5 ),
    inference(avatar_split_clause,[],[f174,f226,f721,f455,f221]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | hskp0
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f967,plain,
    ( ~ spl0_151
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f137,f280,f964]) ).

fof(f280,plain,
    ( spl0_18
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f137,axiom,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f950,plain,
    ( ~ spl0_148
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f120,f214,f947]) ).

fof(f214,plain,
    ( spl0_2
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f120,axiom,
    ( ~ hskp10
    | ~ c0_1(a478) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f945,plain,
    ( ~ spl0_8
    | spl0_147 ),
    inference(avatar_split_clause,[],[f81,f942,f238]) ).

fof(f238,plain,
    ( spl0_8
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f81,axiom,
    ( c3_1(a477)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f935,plain,
    ( ~ spl0_145
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f109,f548,f932]) ).

fof(f548,plain,
    ( spl0_77
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f109,axiom,
    ( ~ hskp18
    | ~ c3_1(a494) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f930,plain,
    ( ~ spl0_4
    | spl0_73
    | spl0_34 ),
    inference(avatar_split_clause,[],[f187,f348,f532,f221]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f928,plain,
    ( ~ spl0_15
    | spl0_144 ),
    inference(avatar_split_clause,[],[f84,f925,f268]) ).

fof(f268,plain,
    ( spl0_15
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f84,axiom,
    ( c0_1(a471)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f923,plain,
    ( spl0_25
    | spl0_3
    | spl0_69
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f168,f221,f512,f218,f311]) ).

fof(f168,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | ~ c0_1(X0)
      | hskp14
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f921,plain,
    ( spl0_63
    | spl0_34
    | spl0_77
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f195,f221,f548,f348,f483]) ).

fof(f195,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f917,plain,
    ( ~ spl0_4
    | spl0_34
    | spl0_14
    | spl0_85 ),
    inference(avatar_split_clause,[],[f207,f591,f264,f348,f221]) ).

fof(f207,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).

fof(f916,plain,
    ( spl0_143
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f68,f518,f913]) ).

fof(f518,plain,
    ( spl0_70
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f68,axiom,
    ( ~ hskp17
    | c2_1(a493) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f910,plain,
    ( ~ spl0_142
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f117,f441,f907]) ).

fof(f117,axiom,
    ( ~ hskp12
    | ~ c0_1(a481) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f905,plain,
    ( ~ spl0_4
    | spl0_31
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f177,f344,f341,f336,f221]) ).

fof(f336,plain,
    ( spl0_31
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | hskp29
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f899,plain,
    ( ~ spl0_70
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f110,f896,f518]) ).

fof(f110,axiom,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f894,plain,
    ( ~ spl0_139
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f115,f322,f891]) ).

fof(f322,plain,
    ( spl0_28
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f115,axiom,
    ( ~ hskp13
    | ~ c1_1(a482) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f883,plain,
    ( ~ spl0_37
    | spl0_137 ),
    inference(avatar_split_clause,[],[f47,f880,f361]) ).

fof(f361,plain,
    ( spl0_37
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f47,axiom,
    ( c1_1(a488)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f861,plain,
    ( ~ spl0_19
    | spl0_132 ),
    inference(avatar_split_clause,[],[f71,f858,f284]) ).

fof(f71,axiom,
    ( c0_1(a484)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f855,plain,
    ( spl0_45
    | spl0_15
    | spl0_22 ),
    inference(avatar_split_clause,[],[f41,f298,f268,f398]) ).

fof(f398,plain,
    ( spl0_45
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f298,plain,
    ( spl0_22
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f41,axiom,
    ( hskp8
    | hskp7
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f854,plain,
    ( ~ spl0_69
    | spl0_131 ),
    inference(avatar_split_clause,[],[f59,f851,f512]) ).

fof(f59,axiom,
    ( c3_1(a545)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f848,plain,
    ( ~ spl0_130
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f95,f293,f845]) ).

fof(f95,axiom,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f843,plain,
    ( ~ spl0_129
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f128,f356,f840]) ).

fof(f128,axiom,
    ( ~ hskp5
    | ~ c1_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f838,plain,
    ( ~ spl0_128
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f111,f275,f835]) ).

fof(f275,plain,
    ( spl0_17
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f111,axiom,
    ( ~ hskp16
    | ~ c1_1(a487) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f833,plain,
    ( spl0_54
    | spl0_23
    | ~ spl0_4
    | spl0_37 ),
    inference(avatar_split_clause,[],[f161,f361,f221,f302,f441]) ).

fof(f161,axiom,
    ! [X0] :
      ( hskp30
      | ~ ndr1_0
      | c3_1(X0)
      | hskp12
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f832,plain,
    ( spl0_32
    | ~ spl0_4
    | spl0_36
    | spl0_54 ),
    inference(avatar_split_clause,[],[f144,f441,f356,f221,f341]) ).

fof(f144,axiom,
    ! [X0] :
      ( hskp12
      | hskp5
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f831,plain,
    ( ~ spl0_4
    | spl0_22
    | spl0_15
    | spl0_13 ),
    inference(avatar_split_clause,[],[f142,f261,f268,f298,f221]) ).

fof(f142,axiom,
    ! [X0] :
      ( c2_1(X0)
      | c3_1(X0)
      | hskp7
      | hskp8
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f830,plain,
    ( spl0_8
    | ~ spl0_4
    | spl0_27
    | spl0_61 ),
    inference(avatar_split_clause,[],[f154,f475,f318,f221,f238]) ).

fof(f154,axiom,
    ! [X0] :
      ( hskp23
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp9
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f829,plain,
    ( spl0_4
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f30,f418,f221]) ).

fof(f30,axiom,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f828,plain,
    ( spl0_41
    | ~ spl0_4
    | spl0_74
    | spl0_13 ),
    inference(avatar_split_clause,[],[f199,f261,f535,f221,f382]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c3_1(X2)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f827,plain,
    ( ~ spl0_4
    | spl0_17
    | spl0_26
    | spl0_76 ),
    inference(avatar_split_clause,[],[f172,f545,f315,f275,f221]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | hskp16
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f826,plain,
    ( ~ spl0_127
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f114,f311,f823]) ).

fof(f114,axiom,
    ( ~ hskp14
    | ~ c0_1(a483) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f816,plain,
    ( ~ spl0_61
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f98,f813,f475]) ).

fof(f98,axiom,
    ( ~ c0_1(a521)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f811,plain,
    ( spl0_36
    | ~ spl0_4
    | spl0_117
    | spl0_70 ),
    inference(avatar_split_clause,[],[f159,f518,f772,f221,f356]) ).

fof(f159,axiom,
    ! [X0] :
      ( hskp17
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f809,plain,
    ( spl0_124
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f51,f336,f806]) ).

fof(f51,axiom,
    ( ~ hskp29
    | c1_1(a474) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f804,plain,
    ( spl0_123
    | ~ spl0_4
    | spl0_41
    | spl0_98 ),
    inference(avatar_split_clause,[],[f204,f672,f382,f221,f802]) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c2_1(X1)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f789,plain,
    ( spl0_120
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f53,f553,f786]) ).

fof(f53,axiom,
    ( ~ hskp28
    | c0_1(a469) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f784,plain,
    ( ~ spl0_18
    | spl0_119 ),
    inference(avatar_split_clause,[],[f89,f781,f280]) ).

fof(f89,axiom,
    ( c2_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f779,plain,
    ( ~ spl0_2
    | spl0_118 ),
    inference(avatar_split_clause,[],[f79,f776,f214]) ).

fof(f79,axiom,
    ( c2_1(a478)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f774,plain,
    ( spl0_54
    | ~ spl0_4
    | spl0_117
    | spl0_42 ),
    inference(avatar_split_clause,[],[f191,f385,f772,f221,f441]) ).

fof(f191,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f770,plain,
    ( ~ spl0_4
    | spl0_77
    | spl0_12
    | spl0_85 ),
    inference(avatar_split_clause,[],[f157,f591,f257,f548,f221]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | hskp6
      | ~ c2_1(X0)
      | hskp18
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f769,plain,
    ( ~ spl0_116
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f124,f268,f766]) ).

fof(f124,axiom,
    ( ~ hskp7
    | ~ c2_1(a471) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f763,plain,
    ( ~ spl0_24
    | spl0_115 ),
    inference(avatar_split_clause,[],[f78,f760,f306]) ).

fof(f78,axiom,
    ( c3_1(a479)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f758,plain,
    ( ~ spl0_28
    | spl0_114 ),
    inference(avatar_split_clause,[],[f75,f755,f322]) ).

fof(f75,axiom,
    ( c3_1(a482)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f753,plain,
    ( spl0_113
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f85,f268,f750]) ).

fof(f85,axiom,
    ( ~ hskp7
    | c3_1(a471) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f743,plain,
    ( ~ spl0_111
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f121,f214,f740]) ).

fof(f121,axiom,
    ( ~ hskp10
    | ~ c3_1(a478) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f738,plain,
    ( ~ spl0_110
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f94,f398,f735]) ).

fof(f94,axiom,
    ( ~ hskp27
    | ~ c3_1(a576) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f733,plain,
    ( ~ spl0_109
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f134,f233,f730]) ).

fof(f233,plain,
    ( spl0_7
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f134,axiom,
    ( ~ hskp3
    | ~ c1_1(a465) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f728,plain,
    ( spl0_108
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f90,f455,f725]) ).

fof(f90,axiom,
    ( ~ hskp0
    | c0_1(a462) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f723,plain,
    ( ~ spl0_4
    | spl0_107
    | spl0_52
    | spl0_15 ),
    inference(avatar_split_clause,[],[f197,f268,f432,f721,f221]) ).

fof(f197,axiom,
    ! [X0,X1] :
      ( hskp7
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f719,plain,
    ( spl0_4
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f6,f293,f221]) ).

fof(f6,axiom,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f718,plain,
    ( ~ spl0_106
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f116,f322,f715]) ).

fof(f116,axiom,
    ( ~ hskp13
    | ~ c2_1(a482) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f713,plain,
    ( ~ spl0_22
    | spl0_105 ),
    inference(avatar_split_clause,[],[f83,f710,f298]) ).

fof(f83,axiom,
    ( c3_1(a472)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f708,plain,
    ( spl0_27
    | spl0_57
    | ~ spl0_4
    | spl0_73 ),
    inference(avatar_split_clause,[],[f181,f532,f221,f455,f318]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ ndr1_0
      | hskp0
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f707,plain,
    ( spl0_31
    | spl0_19
    | spl0_8 ),
    inference(avatar_split_clause,[],[f33,f238,f284,f336]) ).

fof(f33,axiom,
    ( hskp9
    | hskp15
    | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f706,plain,
    ( ~ spl0_19
    | spl0_104 ),
    inference(avatar_split_clause,[],[f72,f703,f284]) ).

fof(f72,axiom,
    ( c2_1(a484)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f701,plain,
    ( ~ spl0_103
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f112,f275,f698]) ).

fof(f112,axiom,
    ( ~ hskp16
    | ~ c2_1(a487) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f696,plain,
    ( ~ spl0_31
    | spl0_102 ),
    inference(avatar_split_clause,[],[f52,f693,f336]) ).

fof(f52,axiom,
    ( c2_1(a474)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f691,plain,
    ( spl0_4
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f9,f475,f221]) ).

fof(f9,axiom,
    ( ~ hskp23
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f690,plain,
    ( ~ spl0_101
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f108,f548,f687]) ).

fof(f108,axiom,
    ( ~ hskp18
    | ~ c2_1(a494) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f680,plain,
    ( spl0_12
    | ~ spl0_4
    | spl0_73
    | spl0_3 ),
    inference(avatar_split_clause,[],[f192,f218,f532,f221,f257]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | hskp6
      | ~ c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f679,plain,
    ( ~ spl0_18
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f138,f676,f280]) ).

fof(f138,axiom,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f667,plain,
    ( ~ spl0_4
    | spl0_25
    | spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f185,f465,f272,f311,f221]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1)
      | hskp14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f666,plain,
    ( ~ spl0_54
    | spl0_97 ),
    inference(avatar_split_clause,[],[f76,f663,f441]) ).

fof(f76,axiom,
    ( c1_1(a481)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f661,plain,
    ( ~ spl0_57
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f139,f658,f455]) ).

fof(f139,axiom,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f656,plain,
    ( spl0_8
    | ~ spl0_4
    | spl0_27
    | spl0_24 ),
    inference(avatar_split_clause,[],[f152,f306,f318,f221,f238]) ).

fof(f152,axiom,
    ! [X0] :
      ( hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f649,plain,
    ( ~ spl0_8
    | spl0_94 ),
    inference(avatar_split_clause,[],[f80,f646,f238]) ).

fof(f80,axiom,
    ( c2_1(a477)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f638,plain,
    ( ~ spl0_8
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f122,f635,f238]) ).

fof(f122,axiom,
    ( ~ c1_1(a477)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f633,plain,
    ( spl0_37
    | spl0_18
    | spl0_91
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f155,f221,f631,f280,f361]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | hskp1
      | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f629,plain,
    ( ~ spl0_90
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f99,f475,f626]) ).

fof(f99,axiom,
    ( ~ hskp23
    | ~ c2_1(a521) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f624,plain,
    ( ~ spl0_22
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f123,f621,f298]) ).

fof(f123,axiom,
    ( ~ c2_1(a472)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f619,plain,
    ( spl0_88
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f67,f548,f616]) ).

fof(f67,axiom,
    ( ~ hskp18
    | c0_1(a494) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f603,plain,
    ( spl0_54
    | spl0_8
    | spl0_24 ),
    inference(avatar_split_clause,[],[f40,f306,f238,f441]) ).

fof(f40,axiom,
    ( hskp11
    | hskp9
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f602,plain,
    ( spl0_86
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f48,f361,f599]) ).

fof(f48,axiom,
    ( ~ hskp30
    | c2_1(a488) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f594,plain,
    ( spl0_17
    | spl0_28
    | spl0_21 ),
    inference(avatar_split_clause,[],[f36,f293,f322,f275]) ).

fof(f36,axiom,
    ( hskp26
    | hskp13
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f593,plain,
    ( spl0_26
    | ~ spl0_4
    | spl0_85
    | spl0_23 ),
    inference(avatar_split_clause,[],[f205,f302,f591,f221,f315]) ).

fof(f205,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | ~ c3_1(X1)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

fof(f589,plain,
    ( spl0_84
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f54,f553,f586]) ).

fof(f54,axiom,
    ( ~ hskp28
    | c2_1(a469) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f584,plain,
    ( spl0_83
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f70,f275,f581]) ).

fof(f70,axiom,
    ( ~ hskp16
    | c0_1(a487) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f579,plain,
    ( ~ spl0_70
    | spl0_82 ),
    inference(avatar_split_clause,[],[f69,f576,f518]) ).

fof(f69,axiom,
    ( c3_1(a493)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f561,plain,
    ( ~ spl0_22
    | spl0_79 ),
    inference(avatar_split_clause,[],[f82,f558,f298]) ).

fof(f82,axiom,
    ( c1_1(a472)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f543,plain,
    ( ~ spl0_69
    | spl0_75 ),
    inference(avatar_split_clause,[],[f58,f540,f512]) ).

fof(f58,axiom,
    ( c1_1(a545)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f538,plain,
    ( spl0_2
    | spl0_25
    | ~ spl0_4
    | spl0_34 ),
    inference(avatar_split_clause,[],[f164,f348,f221,f311,f214]) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp14
      | ~ c1_1(X0)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f515,plain,
    ( ~ spl0_4
    | spl0_69
    | spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f169,f233,f218,f512,f221]) ).

fof(f169,axiom,
    ! [X0] :
      ( hskp3
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | hskp25
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f510,plain,
    ( ~ spl0_12
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f125,f507,f257]) ).

fof(f125,axiom,
    ( ~ c0_1(a470)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f505,plain,
    ( ~ spl0_67
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f93,f398,f502]) ).

fof(f93,axiom,
    ( ~ hskp27
    | ~ c2_1(a576) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f495,plain,
    ( spl0_65
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f87,f233,f492]) ).

fof(f87,axiom,
    ( ~ hskp3
    | c3_1(a465) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f490,plain,
    ( spl0_64
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f77,f306,f487]) ).

fof(f77,axiom,
    ( ~ hskp11
    | c0_1(a479) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f478,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f100,f475,f471]) ).

fof(f100,axiom,
    ( ~ hskp23
    | ~ c3_1(a521) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f467,plain,
    ( spl0_17
    | spl0_52
    | ~ spl0_4
    | spl0_59 ),
    inference(avatar_split_clause,[],[f194,f465,f221,f432,f275]) ).

fof(f194,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | hskp16
      | c0_1(X1)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f463,plain,
    ( spl0_58
    | spl0_32
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f183,f221,f214,f341,f461]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | c2_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f459,plain,
    ( ~ spl0_4
    | spl0_52
    | spl0_23
    | spl0_3 ),
    inference(avatar_split_clause,[],[f208,f218,f302,f432,f221]) ).

fof(f208,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).

fof(f458,plain,
    ( spl0_56
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f91,f455,f451]) ).

fof(f91,axiom,
    ( ~ hskp0
    | c2_1(a462) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f444,plain,
    ( spl0_54
    | spl0_7
    | spl0_31 ),
    inference(avatar_split_clause,[],[f34,f336,f233,f441]) ).

fof(f34,axiom,
    ( hskp29
    | hskp3
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f439,plain,
    ( ~ spl0_49
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f135,f436,f418]) ).

fof(f135,axiom,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f434,plain,
    ( spl0_24
    | spl0_52
    | ~ spl0_4
    | spl0_32 ),
    inference(avatar_split_clause,[],[f189,f341,f221,f432,f306]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp11
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f430,plain,
    ( ~ spl0_12
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f127,f427,f257]) ).

fof(f127,axiom,
    ( ~ c2_1(a470)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f425,plain,
    ( ~ spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f88,f422,f418]) ).

fof(f88,axiom,
    ( c3_1(a464)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f416,plain,
    ( ~ spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f73,f413,f311]) ).

fof(f73,axiom,
    ( c1_1(a483)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f405,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f92,f402,f398]) ).

fof(f92,axiom,
    ( ~ c1_1(a576)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f387,plain,
    ( spl0_28
    | ~ spl0_4
    | spl0_41
    | spl0_42 ),
    inference(avatar_split_clause,[],[f184,f385,f382,f221,f322]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f380,plain,
    ( spl0_40
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f74,f311,f377]) ).

fof(f74,axiom,
    ( ~ hskp14
    | c2_1(a483) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f373,plain,
    ( ~ spl0_39
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f133,f233,f370]) ).

fof(f133,axiom,
    ( ~ hskp3
    | ~ c0_1(a465) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f368,plain,
    ( ~ spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f49,f365,f361]) ).

fof(f49,axiom,
    ( c3_1(a488)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f359,plain,
    ( ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f129,f356,f352]) ).

fof(f129,axiom,
    ( ~ hskp5
    | ~ c3_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f346,plain,
    ( ~ spl0_4
    | spl0_8
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f178,f344,f341,f238,f221]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp9
      | ~ c3_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f339,plain,
    ( spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f50,f336,f332]) ).

fof(f50,axiom,
    ( ~ hskp29
    | c0_1(a474) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f320,plain,
    ( spl0_25
    | ~ spl0_4
    | spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f173,f318,f315,f221,f311]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f296,plain,
    ( spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f57,f293,f289]) ).

fof(f57,axiom,
    ( ~ hskp26
    | c1_1(a559) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f287,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_4
    | spl0_16 ),
    inference(avatar_split_clause,[],[f145,f272,f221,f284,f280]) ).

fof(f145,axiom,
    ! [X0] :
      ( c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp15
      | hskp1
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f278,plain,
    ( spl0_15
    | ~ spl0_4
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f146,f275,f272,f221,f268]) ).

fof(f146,axiom,
    ! [X0] :
      ( hskp16
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp7
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYN505-1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:57:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.55  % (32276)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (32294)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55  % (32293)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.55  % (32278)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56  % (32282)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56  % (32286)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.56  % (32285)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56  % (32290)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56  Detected maximum model sizes of [32]
% 0.19/0.56  TRYING [1]
% 0.19/0.56  % (32278)Instruction limit reached!
% 0.19/0.56  % (32278)------------------------------
% 0.19/0.56  % (32278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  TRYING [2]
% 0.19/0.57  % (32298)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.57  TRYING [3]
% 0.19/0.57  % (32278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (32278)Termination reason: Unknown
% 0.19/0.57  % (32278)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (32278)Memory used [KB]: 6012
% 0.19/0.57  % (32278)Time elapsed: 0.140 s
% 0.19/0.57  % (32278)Instructions burned: 7 (million)
% 0.19/0.57  % (32278)------------------------------
% 0.19/0.57  % (32278)------------------------------
% 0.19/0.59  TRYING [4]
% 0.19/0.61  % (32280)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.61  % (32275)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.95/0.61  % (32281)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.95/0.61  % (32292)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.95/0.62  % (32297)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.95/0.62  % (32296)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.95/0.62  % (32273)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.95/0.62  % (32300)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.95/0.62  % (32288)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.95/0.63  % (32284)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.95/0.63  % (32289)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.95/0.63  % (32282)First to succeed.
% 1.95/0.63  % (32271)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.12/0.63  % (32279)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.12/0.63  % (32279)Instruction limit reached!
% 2.12/0.63  % (32279)------------------------------
% 2.12/0.63  % (32279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63  % (32279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63  % (32279)Termination reason: Unknown
% 2.12/0.63  % (32279)Termination phase: Blocked clause elimination
% 2.12/0.63  
% 2.12/0.63  % (32279)Memory used [KB]: 1151
% 2.12/0.63  % (32279)Time elapsed: 0.004 s
% 2.12/0.63  % (32279)Instructions burned: 3 (million)
% 2.12/0.63  % (32279)------------------------------
% 2.12/0.63  % (32279)------------------------------
% 2.12/0.64  % (32272)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.12/0.64  % (32276)Instruction limit reached!
% 2.12/0.64  % (32276)------------------------------
% 2.12/0.64  % (32276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64  % (32276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64  % (32276)Termination reason: Unknown
% 2.12/0.64  % (32276)Termination phase: Finite model building SAT solving
% 2.12/0.64  
% 2.12/0.64  % (32276)Memory used [KB]: 6268
% 2.12/0.64  % (32276)Time elapsed: 0.166 s
% 2.12/0.64  % (32276)Instructions burned: 53 (million)
% 2.12/0.64  % (32276)------------------------------
% 2.12/0.64  % (32276)------------------------------
% 2.12/0.64  % (32295)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.12/0.64  % (32287)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.12/0.65  % (32283)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.12/0.65  % (32274)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.31/0.65  Detected maximum model sizes of [32]
% 2.31/0.65  TRYING [1]
% 2.31/0.65  TRYING [2]
% 2.31/0.65  % (32291)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.31/0.66  % (32270)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.31/0.66  % (32299)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.31/0.66  % (32282)Refutation found. Thanks to Tanya!
% 2.31/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.31/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.67  % (32282)------------------------------
% 2.31/0.67  % (32282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67  % (32282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67  % (32282)Termination reason: Refutation
% 2.31/0.67  
% 2.31/0.67  % (32282)Memory used [KB]: 6780
% 2.31/0.67  % (32282)Time elapsed: 0.188 s
% 2.31/0.67  % (32282)Instructions burned: 36 (million)
% 2.31/0.67  % (32282)------------------------------
% 2.31/0.67  % (32282)------------------------------
% 2.31/0.67  % (32269)Success in time 0.313 s
%------------------------------------------------------------------------------