TSTP Solution File: SYN473-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN473-1 : 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 : n014.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 19:38:18 EDT 2022

% Result   : Unsatisfiable 1.49s 0.59s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  238
% Syntax   : Number of formulae    :  547 (   1 unt;   0 def)
%            Number of atoms       : 1723 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2051 ( 875   ~;1044   |;   0   &)
%                                         ( 132 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  161 ( 160 usr; 157 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  110 ( 110   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2335,plain,
    $false,
    inference(avatar_sat_refutation,[],[f205,f214,f228,f239,f271,f280,f321,f330,f348,f360,f388,f393,f409,f423,f430,f437,f441,f455,f460,f474,f479,f500,f506,f507,f517,f535,f539,f544,f545,f550,f555,f560,f565,f567,f572,f577,f587,f588,f601,f606,f607,f612,f619,f625,f630,f636,f637,f652,f654,f655,f658,f663,f665,f671,f680,f685,f691,f697,f702,f703,f709,f718,f723,f724,f734,f738,f750,f757,f762,f767,f778,f800,f805,f810,f811,f812,f817,f822,f827,f833,f838,f845,f850,f855,f857,f859,f871,f876,f889,f895,f900,f911,f916,f921,f922,f927,f932,f937,f953,f954,f960,f961,f962,f967,f973,f978,f983,f988,f999,f1000,f1008,f1017,f1026,f1030,f1037,f1046,f1047,f1056,f1060,f1073,f1109,f1124,f1132,f1145,f1193,f1194,f1269,f1292,f1329,f1431,f1462,f1493,f1602,f1663,f1664,f1666,f1676,f1678,f1679,f1696,f1749,f1758,f1771,f1775,f1845,f1875,f1876,f1877,f1896,f1912,f1913,f1962,f1967,f2006,f2007,f2025,f2045,f2047,f2050,f2099,f2102,f2125,f2147,f2148,f2151,f2170,f2193,f2219,f2220,f2283,f2285,f2314,f2315,f2334]) ).

fof(f2334,plain,
    ( spl0_135
    | spl0_60
    | ~ spl0_10
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2333,f2009,f234,f448,f868]) ).

fof(f868,plain,
    ( spl0_135
  <=> c3_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f448,plain,
    ( spl0_60
  <=> c2_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f234,plain,
    ( spl0_10
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2009,plain,
    ( spl0_183
  <=> c1_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f2333,plain,
    ( c2_1(a856)
    | c3_1(a856)
    | ~ spl0_10
    | ~ spl0_183 ),
    inference(resolution,[],[f2011,f235]) ).

fof(f235,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f2011,plain,
    ( c1_1(a856)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f2009]) ).

fof(f2315,plain,
    ( ~ spl0_152
    | spl0_144
    | ~ spl0_93
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2299,f1106,f617,f918,f964]) ).

fof(f964,plain,
    ( spl0_152
  <=> c1_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f918,plain,
    ( spl0_144
  <=> c2_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f617,plain,
    ( spl0_93
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1106,plain,
    ( spl0_165
  <=> c3_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2299,plain,
    ( c2_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_93
    | ~ spl0_165 ),
    inference(resolution,[],[f618,f1108]) ).

fof(f1108,plain,
    ( c3_1(a833)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f618,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f2314,plain,
    ( spl0_19
    | ~ spl0_105
    | ~ spl0_73
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2304,f617,f514,f694,f273]) ).

fof(f273,plain,
    ( spl0_19
  <=> c2_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f694,plain,
    ( spl0_105
  <=> c1_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f514,plain,
    ( spl0_73
  <=> c3_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2304,plain,
    ( ~ c1_1(a803)
    | c2_1(a803)
    | ~ spl0_73
    | ~ spl0_93 ),
    inference(resolution,[],[f618,f516]) ).

fof(f516,plain,
    ( c3_1(a803)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f2285,plain,
    ( spl0_129
    | spl0_182
    | ~ spl0_92
    | spl0_143 ),
    inference(avatar_split_clause,[],[f2279,f913,f614,f1964,f830]) ).

fof(f830,plain,
    ( spl0_129
  <=> c3_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1964,plain,
    ( spl0_182
  <=> c1_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f614,plain,
    ( spl0_92
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f913,plain,
    ( spl0_143
  <=> c2_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2279,plain,
    ( c1_1(a807)
    | c3_1(a807)
    | ~ spl0_92
    | spl0_143 ),
    inference(resolution,[],[f615,f915]) ).

fof(f915,plain,
    ( ~ c2_1(a807)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f615,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f2283,plain,
    ( spl0_183
    | spl0_135
    | spl0_60
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2264,f614,f448,f868,f2009]) ).

fof(f2264,plain,
    ( c3_1(a856)
    | c1_1(a856)
    | spl0_60
    | ~ spl0_92 ),
    inference(resolution,[],[f615,f450]) ).

fof(f450,plain,
    ( ~ c2_1(a856)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f2220,plain,
    ( spl0_126
    | ~ spl0_46
    | ~ spl0_45
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2216,f1468,f386,f390,f814]) ).

fof(f814,plain,
    ( spl0_126
  <=> c1_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f390,plain,
    ( spl0_46
  <=> c3_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f386,plain,
    ( spl0_45
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1468,plain,
    ( spl0_176
  <=> c2_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f2216,plain,
    ( ~ c3_1(a799)
    | c1_1(a799)
    | ~ spl0_45
    | ~ spl0_176 ),
    inference(resolution,[],[f387,f1470]) ).

fof(f1470,plain,
    ( c2_1(a799)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f387,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f2219,plain,
    ( ~ spl0_180
    | spl0_53
    | ~ spl0_45
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2215,f720,f386,f420,f1755]) ).

fof(f1755,plain,
    ( spl0_180
  <=> c3_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f420,plain,
    ( spl0_53
  <=> c1_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f720,plain,
    ( spl0_109
  <=> c2_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2215,plain,
    ( c1_1(a802)
    | ~ c3_1(a802)
    | ~ spl0_45
    | ~ spl0_109 ),
    inference(resolution,[],[f387,f722]) ).

fof(f722,plain,
    ( c2_1(a802)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2193,plain,
    ( spl0_143
    | spl0_129
    | ~ spl0_10
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2191,f1964,f234,f830,f913]) ).

fof(f2191,plain,
    ( c3_1(a807)
    | c2_1(a807)
    | ~ spl0_10
    | ~ spl0_182 ),
    inference(resolution,[],[f235,f1966]) ).

fof(f1966,plain,
    ( c1_1(a807)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1964]) ).

fof(f2170,plain,
    ( spl0_102
    | spl0_144
    | ~ spl0_6
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2161,f1106,f220,f918,f677]) ).

fof(f677,plain,
    ( spl0_102
  <=> c0_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f220,plain,
    ( spl0_6
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2161,plain,
    ( c2_1(a833)
    | c0_1(a833)
    | ~ spl0_6
    | ~ spl0_165 ),
    inference(resolution,[],[f221,f1108]) ).

fof(f221,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f2151,plain,
    ( spl0_126
    | ~ spl0_128
    | ~ spl0_56
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2141,f1468,f432,f824,f814]) ).

fof(f824,plain,
    ( spl0_128
  <=> c0_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f432,plain,
    ( spl0_56
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2141,plain,
    ( ~ c0_1(a799)
    | c1_1(a799)
    | ~ spl0_56
    | ~ spl0_176 ),
    inference(resolution,[],[f433,f1470]) ).

fof(f433,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f2148,plain,
    ( ~ spl0_156
    | spl0_108
    | ~ spl0_56
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2136,f802,f432,f715,f996]) ).

fof(f996,plain,
    ( spl0_156
  <=> c0_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f715,plain,
    ( spl0_108
  <=> c1_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f802,plain,
    ( spl0_124
  <=> c2_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2136,plain,
    ( c1_1(a832)
    | ~ c0_1(a832)
    | ~ spl0_56
    | ~ spl0_124 ),
    inference(resolution,[],[f433,f804]) ).

fof(f804,plain,
    ( c2_1(a832)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f2147,plain,
    ( ~ spl0_70
    | spl0_157
    | ~ spl0_31
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2132,f432,f323,f1005,f497]) ).

fof(f497,plain,
    ( spl0_70
  <=> c0_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1005,plain,
    ( spl0_157
  <=> c1_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f323,plain,
    ( spl0_31
  <=> c2_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2132,plain,
    ( c1_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_31
    | ~ spl0_56 ),
    inference(resolution,[],[f433,f325]) ).

fof(f325,plain,
    ( c2_1(a796)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f2125,plain,
    ( spl0_129
    | spl0_82
    | ~ spl0_54
    | spl0_143 ),
    inference(avatar_split_clause,[],[f2121,f913,f425,f557,f830]) ).

fof(f557,plain,
    ( spl0_82
  <=> c0_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f425,plain,
    ( spl0_54
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2121,plain,
    ( c0_1(a807)
    | c3_1(a807)
    | ~ spl0_54
    | spl0_143 ),
    inference(resolution,[],[f426,f915]) ).

fof(f426,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f2102,plain,
    ( spl0_82
    | spl0_129
    | ~ spl0_44
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2098,f1964,f383,f830,f557]) ).

fof(f383,plain,
    ( spl0_44
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2098,plain,
    ( c3_1(a807)
    | c0_1(a807)
    | ~ spl0_44
    | ~ spl0_182 ),
    inference(resolution,[],[f384,f1966]) ).

fof(f384,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f2099,plain,
    ( spl0_102
    | spl0_165
    | ~ spl0_44
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2094,f964,f383,f1106,f677]) ).

fof(f2094,plain,
    ( c3_1(a833)
    | c0_1(a833)
    | ~ spl0_44
    | ~ spl0_152 ),
    inference(resolution,[],[f384,f966]) ).

fof(f966,plain,
    ( c1_1(a833)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f2050,plain,
    ( spl0_115
    | ~ spl0_138
    | ~ spl0_78
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2034,f934,f537,f886,f754]) ).

fof(f754,plain,
    ( spl0_115
  <=> c2_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f886,plain,
    ( spl0_138
  <=> c0_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f537,plain,
    ( spl0_78
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f934,plain,
    ( spl0_147
  <=> c3_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2034,plain,
    ( ~ c0_1(a838)
    | c2_1(a838)
    | ~ spl0_78
    | ~ spl0_147 ),
    inference(resolution,[],[f538,f936]) ).

fof(f936,plain,
    ( c3_1(a838)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f538,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f2047,plain,
    ( ~ spl0_128
    | spl0_176
    | ~ spl0_46
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2040,f537,f390,f1468,f824]) ).

fof(f2040,plain,
    ( c2_1(a799)
    | ~ c0_1(a799)
    | ~ spl0_46
    | ~ spl0_78 ),
    inference(resolution,[],[f538,f392]) ).

fof(f392,plain,
    ( c3_1(a799)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f2045,plain,
    ( spl0_104
    | ~ spl0_159
    | ~ spl0_78
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2036,f668,f537,f1023,f688]) ).

fof(f688,plain,
    ( spl0_104
  <=> c2_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1023,plain,
    ( spl0_159
  <=> c0_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f668,plain,
    ( spl0_101
  <=> c3_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2036,plain,
    ( ~ c0_1(a808)
    | c2_1(a808)
    | ~ spl0_78
    | ~ spl0_101 ),
    inference(resolution,[],[f538,f670]) ).

fof(f670,plain,
    ( c3_1(a808)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f2025,plain,
    ( spl0_104
    | spl0_91
    | ~ spl0_77
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2001,f1023,f533,f609,f688]) ).

fof(f609,plain,
    ( spl0_91
  <=> c1_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f533,plain,
    ( spl0_77
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2001,plain,
    ( c1_1(a808)
    | c2_1(a808)
    | ~ spl0_77
    | ~ spl0_159 ),
    inference(resolution,[],[f534,f1025]) ).

fof(f1025,plain,
    ( c0_1(a808)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f534,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f2007,plain,
    ( spl0_161
    | spl0_115
    | ~ spl0_77
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1995,f886,f533,f754,f1053]) ).

fof(f1053,plain,
    ( spl0_161
  <=> c1_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1995,plain,
    ( c2_1(a838)
    | c1_1(a838)
    | ~ spl0_77
    | ~ spl0_138 ),
    inference(resolution,[],[f534,f888]) ).

fof(f888,plain,
    ( c0_1(a838)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f2006,plain,
    ( spl0_176
    | spl0_126
    | ~ spl0_77
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2002,f824,f533,f814,f1468]) ).

fof(f2002,plain,
    ( c1_1(a799)
    | c2_1(a799)
    | ~ spl0_77
    | ~ spl0_128 ),
    inference(resolution,[],[f534,f826]) ).

fof(f826,plain,
    ( c0_1(a799)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f1967,plain,
    ( spl0_182
    | spl0_82
    | ~ spl0_50
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1958,f830,f407,f557,f1964]) ).

fof(f407,plain,
    ( spl0_50
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1958,plain,
    ( c0_1(a807)
    | c1_1(a807)
    | ~ spl0_50
    | spl0_129 ),
    inference(resolution,[],[f408,f832]) ).

fof(f832,plain,
    ( ~ c3_1(a807)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f408,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1962,plain,
    ( spl0_108
    | spl0_156
    | ~ spl0_50
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1951,f908,f407,f996,f715]) ).

fof(f908,plain,
    ( spl0_142
  <=> c3_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1951,plain,
    ( c0_1(a832)
    | c1_1(a832)
    | ~ spl0_50
    | spl0_142 ),
    inference(resolution,[],[f408,f910]) ).

fof(f910,plain,
    ( ~ c3_1(a832)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f1913,plain,
    ( spl0_157
    | ~ spl0_114
    | ~ spl0_31
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1900,f386,f323,f747,f1005]) ).

fof(f747,plain,
    ( spl0_114
  <=> c3_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1900,plain,
    ( ~ c3_1(a796)
    | c1_1(a796)
    | ~ spl0_31
    | ~ spl0_45 ),
    inference(resolution,[],[f387,f325]) ).

fof(f1912,plain,
    ( spl0_130
    | ~ spl0_94
    | ~ spl0_45
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1907,f985,f386,f622,f835]) ).

fof(f835,plain,
    ( spl0_130
  <=> c1_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f622,plain,
    ( spl0_94
  <=> c3_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f985,plain,
    ( spl0_155
  <=> c2_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1907,plain,
    ( ~ c3_1(a800)
    | c1_1(a800)
    | ~ spl0_45
    | ~ spl0_155 ),
    inference(resolution,[],[f387,f987]) ).

fof(f987,plain,
    ( c2_1(a800)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f1896,plain,
    ( spl0_19
    | spl0_181
    | ~ spl0_6
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1891,f514,f220,f1842,f273]) ).

fof(f1842,plain,
    ( spl0_181
  <=> c0_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1891,plain,
    ( c0_1(a803)
    | c2_1(a803)
    | ~ spl0_6
    | ~ spl0_73 ),
    inference(resolution,[],[f221,f516]) ).

fof(f1877,plain,
    ( ~ spl0_179
    | spl0_111
    | ~ spl0_57
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1872,f892,f435,f731,f1688]) ).

fof(f1688,plain,
    ( spl0_179
  <=> c0_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f731,plain,
    ( spl0_111
  <=> c2_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f435,plain,
    ( spl0_57
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f892,plain,
    ( spl0_139
  <=> c1_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1872,plain,
    ( c2_1(a805)
    | ~ c0_1(a805)
    | ~ spl0_57
    | ~ spl0_139 ),
    inference(resolution,[],[f436,f894]) ).

fof(f894,plain,
    ( c1_1(a805)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f436,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1876,plain,
    ( ~ spl0_119
    | spl0_106
    | ~ spl0_25
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1831,f1289,f298,f699,f775]) ).

fof(f775,plain,
    ( spl0_119
  <=> c1_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f699,plain,
    ( spl0_106
  <=> c0_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f298,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1289,plain,
    ( spl0_173
  <=> c3_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1831,plain,
    ( c0_1(a809)
    | ~ c1_1(a809)
    | ~ spl0_25
    | ~ spl0_173 ),
    inference(resolution,[],[f299,f1291]) ).

fof(f1291,plain,
    ( c3_1(a809)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1289]) ).

fof(f299,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f1875,plain,
    ( spl0_19
    | ~ spl0_181
    | ~ spl0_57
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1873,f694,f435,f1842,f273]) ).

fof(f1873,plain,
    ( ~ c0_1(a803)
    | c2_1(a803)
    | ~ spl0_57
    | ~ spl0_105 ),
    inference(resolution,[],[f436,f696]) ).

fof(f696,plain,
    ( c1_1(a803)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f1845,plain,
    ( ~ spl0_105
    | spl0_181
    | ~ spl0_25
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1835,f514,f298,f1842,f694]) ).

fof(f1835,plain,
    ( c0_1(a803)
    | ~ c1_1(a803)
    | ~ spl0_25
    | ~ spl0_73 ),
    inference(resolution,[],[f299,f516]) ).

fof(f1775,plain,
    ( spl0_133
    | spl0_179
    | ~ spl0_44
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1768,f892,f383,f1688,f852]) ).

fof(f852,plain,
    ( spl0_133
  <=> c3_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1768,plain,
    ( c0_1(a805)
    | c3_1(a805)
    | ~ spl0_44
    | ~ spl0_139 ),
    inference(resolution,[],[f384,f894]) ).

fof(f1771,plain,
    ( spl0_117
    | spl0_123
    | ~ spl0_44
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1766,f633,f383,f797,f764]) ).

fof(f764,plain,
    ( spl0_117
  <=> c3_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f797,plain,
    ( spl0_123
  <=> c0_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f633,plain,
    ( spl0_96
  <=> c1_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1766,plain,
    ( c0_1(a814)
    | c3_1(a814)
    | ~ spl0_44
    | ~ spl0_96 ),
    inference(resolution,[],[f384,f635]) ).

fof(f635,plain,
    ( c1_1(a814)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f1758,plain,
    ( spl0_180
    | spl0_127
    | ~ spl0_23
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1730,f720,f289,f819,f1755]) ).

fof(f819,plain,
    ( spl0_127
  <=> c0_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f289,plain,
    ( spl0_23
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1730,plain,
    ( c0_1(a802)
    | c3_1(a802)
    | ~ spl0_23
    | ~ spl0_109 ),
    inference(resolution,[],[f290,f722]) ).

fof(f290,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f1749,plain,
    ( spl0_123
    | ~ spl0_23
    | ~ spl0_54
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1740,f764,f425,f289,f797]) ).

fof(f1740,plain,
    ( c0_1(a814)
    | ~ spl0_23
    | ~ spl0_54
    | spl0_117 ),
    inference(resolution,[],[f1733,f766]) ).

fof(f766,plain,
    ( ~ c3_1(a814)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f1733,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1718]) ).

fof(f1718,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_54 ),
    inference(resolution,[],[f290,f426]) ).

fof(f1696,plain,
    ( spl0_133
    | spl0_111
    | ~ spl0_10
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1695,f892,f234,f731,f852]) ).

fof(f1695,plain,
    ( c2_1(a805)
    | c3_1(a805)
    | ~ spl0_10
    | ~ spl0_139 ),
    inference(resolution,[],[f894,f235]) ).

fof(f1679,plain,
    ( ~ spl0_166
    | spl0_35
    | ~ spl0_45
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1605,f471,f386,f341,f1121]) ).

fof(f1121,plain,
    ( spl0_166
  <=> c3_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f341,plain,
    ( spl0_35
  <=> c1_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f471,plain,
    ( spl0_65
  <=> c2_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1605,plain,
    ( c1_1(a793)
    | ~ c3_1(a793)
    | ~ spl0_45
    | ~ spl0_65 ),
    inference(resolution,[],[f473,f387]) ).

fof(f473,plain,
    ( c2_1(a793)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f1678,plain,
    ( spl0_84
    | ~ spl0_95
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1385,f660,f386,f627,f569]) ).

fof(f569,plain,
    ( spl0_84
  <=> c1_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f627,plain,
    ( spl0_95
  <=> c3_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f660,plain,
    ( spl0_100
  <=> c2_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1385,plain,
    ( ~ c3_1(a817)
    | c1_1(a817)
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(resolution,[],[f387,f662]) ).

fof(f662,plain,
    ( c2_1(a817)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f1676,plain,
    ( spl0_79
    | spl0_171
    | ~ spl0_21
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1224,f950,f282,f1226,f541]) ).

fof(f541,plain,
    ( spl0_79
  <=> c0_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1226,plain,
    ( spl0_171
  <=> c1_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f282,plain,
    ( spl0_21
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f950,plain,
    ( spl0_150
  <=> c3_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1224,plain,
    ( c1_1(a869)
    | c0_1(a869)
    | ~ spl0_21
    | ~ spl0_150 ),
    inference(resolution,[],[f952,f283]) ).

fof(f283,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f952,plain,
    ( c3_1(a869)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f1666,plain,
    ( ~ spl0_150
    | ~ spl0_171
    | ~ spl0_58
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1641,f897,f439,f1226,f950]) ).

fof(f439,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f897,plain,
    ( spl0_140
  <=> c2_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1641,plain,
    ( ~ c1_1(a869)
    | ~ c3_1(a869)
    | ~ spl0_58
    | ~ spl0_140 ),
    inference(resolution,[],[f440,f899]) ).

fof(f899,plain,
    ( c2_1(a869)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f440,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1664,plain,
    ( ~ spl0_157
    | ~ spl0_114
    | ~ spl0_31
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1640,f439,f323,f747,f1005]) ).

fof(f1640,plain,
    ( ~ c3_1(a796)
    | ~ c1_1(a796)
    | ~ spl0_31
    | ~ spl0_58 ),
    inference(resolution,[],[f440,f325]) ).

fof(f1663,plain,
    ( ~ spl0_17
    | ~ spl0_103
    | ~ spl0_58
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1639,f957,f439,f682,f264]) ).

fof(f264,plain,
    ( spl0_17
  <=> c1_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f682,plain,
    ( spl0_103
  <=> c3_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f957,plain,
    ( spl0_151
  <=> c2_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1639,plain,
    ( ~ c3_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_58
    | ~ spl0_151 ),
    inference(resolution,[],[f440,f959]) ).

fof(f959,plain,
    ( c2_1(a797)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f1602,plain,
    ( ~ spl0_116
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1583,f975,f237,f198,f759]) ).

fof(f759,plain,
    ( spl0_116
  <=> c1_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f198,plain,
    ( spl0_1
  <=> c0_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f237,plain,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f975,plain,
    ( spl0_154
  <=> c3_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1583,plain,
    ( ~ c0_1(a867)
    | ~ c1_1(a867)
    | ~ spl0_11
    | ~ spl0_154 ),
    inference(resolution,[],[f238,f977]) ).

fof(f977,plain,
    ( c3_1(a867)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f238,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f1493,plain,
    ( spl0_160
    | ~ spl0_17
    | ~ spl0_7
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1481,f957,f223,f264,f1043]) ).

fof(f1043,plain,
    ( spl0_160
  <=> c0_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f223,plain,
    ( spl0_7
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1481,plain,
    ( ~ c1_1(a797)
    | c0_1(a797)
    | ~ spl0_7
    | ~ spl0_151 ),
    inference(resolution,[],[f224,f959]) ).

fof(f224,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f1462,plain,
    ( spl0_71
    | ~ spl0_3
    | ~ spl0_57
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1445,f603,f435,f207,f503]) ).

fof(f503,plain,
    ( spl0_71
  <=> c2_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f207,plain,
    ( spl0_3
  <=> c0_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f603,plain,
    ( spl0_90
  <=> c1_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1445,plain,
    ( ~ c0_1(a825)
    | c2_1(a825)
    | ~ spl0_57
    | ~ spl0_90 ),
    inference(resolution,[],[f436,f605]) ).

fof(f605,plain,
    ( c1_1(a825)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f1431,plain,
    ( spl0_146
    | ~ spl0_87
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1420,f970,f428,f584,f929]) ).

fof(f929,plain,
    ( spl0_146
  <=> c3_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f584,plain,
    ( spl0_87
  <=> c0_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f428,plain,
    ( spl0_55
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f970,plain,
    ( spl0_153
  <=> c1_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1420,plain,
    ( ~ c0_1(a806)
    | c3_1(a806)
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(resolution,[],[f429,f972]) ).

fof(f972,plain,
    ( c1_1(a806)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f429,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f1329,plain,
    ( spl0_106
    | ~ spl0_119
    | ~ spl0_7
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1325,f924,f223,f775,f699]) ).

fof(f924,plain,
    ( spl0_145
  <=> c2_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1325,plain,
    ( ~ c1_1(a809)
    | c0_1(a809)
    | ~ spl0_7
    | ~ spl0_145 ),
    inference(resolution,[],[f224,f926]) ).

fof(f926,plain,
    ( c2_1(a809)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f1292,plain,
    ( spl0_106
    | spl0_173
    | ~ spl0_44
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1281,f775,f383,f1289,f699]) ).

fof(f1281,plain,
    ( c3_1(a809)
    | c0_1(a809)
    | ~ spl0_44
    | ~ spl0_119 ),
    inference(resolution,[],[f384,f777]) ).

fof(f777,plain,
    ( c1_1(a809)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f1269,plain,
    ( ~ spl0_128
    | spl0_126
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1258,f390,f379,f814,f824]) ).

fof(f379,plain,
    ( spl0_43
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1258,plain,
    ( c1_1(a799)
    | ~ c0_1(a799)
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(resolution,[],[f380,f392]) ).

fof(f380,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1194,plain,
    ( spl0_146
    | ~ spl0_87
    | ~ spl0_8
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1186,f1142,f226,f584,f929]) ).

fof(f226,plain,
    ( spl0_8
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1142,plain,
    ( spl0_167
  <=> c2_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1186,plain,
    ( ~ c0_1(a806)
    | c3_1(a806)
    | ~ spl0_8
    | ~ spl0_167 ),
    inference(resolution,[],[f227,f1144]) ).

fof(f1144,plain,
    ( c2_1(a806)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f227,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f1193,plain,
    ( ~ spl0_132
    | spl0_166
    | ~ spl0_8
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1189,f471,f226,f1121,f847]) ).

fof(f847,plain,
    ( spl0_132
  <=> c0_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1189,plain,
    ( c3_1(a793)
    | ~ c0_1(a793)
    | ~ spl0_8
    | ~ spl0_65 ),
    inference(resolution,[],[f227,f473]) ).

fof(f1145,plain,
    ( spl0_167
    | spl0_146
    | ~ spl0_10
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1140,f970,f234,f929,f1142]) ).

fof(f1140,plain,
    ( c3_1(a806)
    | c2_1(a806)
    | ~ spl0_10
    | ~ spl0_153 ),
    inference(resolution,[],[f972,f235]) ).

fof(f1132,plain,
    ( ~ spl0_152
    | spl0_102
    | ~ spl0_25
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1129,f1106,f298,f677,f964]) ).

fof(f1129,plain,
    ( c0_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_25
    | ~ spl0_165 ),
    inference(resolution,[],[f1108,f299]) ).

fof(f1124,plain,
    ( ~ spl0_166
    | ~ spl0_132
    | ~ spl0_28
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1119,f471,f310,f847,f1121]) ).

fof(f310,plain,
    ( spl0_28
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1119,plain,
    ( ~ c0_1(a793)
    | ~ c3_1(a793)
    | ~ spl0_28
    | ~ spl0_65 ),
    inference(resolution,[],[f473,f311]) ).

fof(f311,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f1109,plain,
    ( spl0_144
    | spl0_165
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1104,f964,f234,f1106,f918]) ).

fof(f1104,plain,
    ( c3_1(a833)
    | c2_1(a833)
    | ~ spl0_10
    | ~ spl0_152 ),
    inference(resolution,[],[f966,f235]) ).

fof(f1073,plain,
    ( spl0_142
    | spl0_108
    | ~ spl0_49
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1065,f802,f404,f715,f908]) ).

fof(f404,plain,
    ( spl0_49
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1065,plain,
    ( c1_1(a832)
    | c3_1(a832)
    | ~ spl0_49
    | ~ spl0_124 ),
    inference(resolution,[],[f405,f804]) ).

fof(f405,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f1060,plain,
    ( ~ spl0_160
    | ~ spl0_103
    | ~ spl0_28
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1057,f957,f310,f682,f1043]) ).

fof(f1057,plain,
    ( ~ c3_1(a797)
    | ~ c0_1(a797)
    | ~ spl0_28
    | ~ spl0_151 ),
    inference(resolution,[],[f959,f311]) ).

fof(f1056,plain,
    ( ~ spl0_161
    | ~ spl0_138
    | ~ spl0_11
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1051,f934,f237,f886,f1053]) ).

fof(f1051,plain,
    ( ~ c0_1(a838)
    | ~ c1_1(a838)
    | ~ spl0_11
    | ~ spl0_147 ),
    inference(resolution,[],[f936,f238]) ).

fof(f1047,plain,
    ( spl0_160
    | ~ spl0_17
    | ~ spl0_25
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1039,f682,f298,f264,f1043]) ).

fof(f1039,plain,
    ( ~ c1_1(a797)
    | c0_1(a797)
    | ~ spl0_25
    | ~ spl0_103 ),
    inference(resolution,[],[f684,f299]) ).

fof(f684,plain,
    ( c3_1(a797)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f1046,plain,
    ( ~ spl0_160
    | ~ spl0_17
    | ~ spl0_11
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1041,f682,f237,f264,f1043]) ).

fof(f1041,plain,
    ( ~ c1_1(a797)
    | ~ c0_1(a797)
    | ~ spl0_11
    | ~ spl0_103 ),
    inference(resolution,[],[f684,f238]) ).

fof(f1037,plain,
    ( ~ spl0_70
    | ~ spl0_114
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1035,f323,f310,f747,f497]) ).

fof(f1035,plain,
    ( ~ c3_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(resolution,[],[f311,f325]) ).

fof(f1030,plain,
    ( spl0_156
    | spl0_142
    | ~ spl0_23
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1029,f802,f289,f908,f996]) ).

fof(f1029,plain,
    ( c3_1(a832)
    | c0_1(a832)
    | ~ spl0_23
    | ~ spl0_124 ),
    inference(resolution,[],[f290,f804]) ).

fof(f1026,plain,
    ( spl0_91
    | spl0_159
    | ~ spl0_21
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1020,f668,f282,f1023,f609]) ).

fof(f1020,plain,
    ( c0_1(a808)
    | c1_1(a808)
    | ~ spl0_21
    | ~ spl0_101 ),
    inference(resolution,[],[f670,f283]) ).

fof(f1017,plain,
    ( spl0_83
    | spl0_130
    | ~ spl0_21
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1010,f622,f282,f835,f562]) ).

fof(f562,plain,
    ( spl0_83
  <=> c0_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1010,plain,
    ( c1_1(a800)
    | c0_1(a800)
    | ~ spl0_21
    | ~ spl0_94 ),
    inference(resolution,[],[f283,f624]) ).

fof(f624,plain,
    ( c3_1(a800)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f1008,plain,
    ( ~ spl0_157
    | ~ spl0_70
    | ~ spl0_11
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1003,f747,f237,f497,f1005]) ).

fof(f1003,plain,
    ( ~ c0_1(a796)
    | ~ c1_1(a796)
    | ~ spl0_11
    | ~ spl0_114 ),
    inference(resolution,[],[f238,f749]) ).

fof(f749,plain,
    ( c3_1(a796)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f1000,plain,
    ( ~ spl0_125
    | spl0_80
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f992,f318,f226,f547,f807]) ).

fof(f807,plain,
    ( spl0_125
  <=> c0_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f547,plain,
    ( spl0_80
  <=> c3_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f318,plain,
    ( spl0_30
  <=> c2_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f992,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(resolution,[],[f227,f320]) ).

fof(f320,plain,
    ( c2_1(a798)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f999,plain,
    ( ~ spl0_156
    | spl0_142
    | ~ spl0_8
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f994,f802,f226,f908,f996]) ).

fof(f994,plain,
    ( c3_1(a832)
    | ~ c0_1(a832)
    | ~ spl0_8
    | ~ spl0_124 ),
    inference(resolution,[],[f227,f804]) ).

fof(f988,plain,
    ( spl0_83
    | spl0_155
    | ~ spl0_6
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f981,f622,f220,f985,f562]) ).

fof(f981,plain,
    ( c2_1(a800)
    | c0_1(a800)
    | ~ spl0_6
    | ~ spl0_94 ),
    inference(resolution,[],[f221,f624]) ).

fof(f983,plain,
    ( spl0_136
    | spl0_85
    | ~ spl0_6
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f980,f476,f220,f574,f873]) ).

fof(f873,plain,
    ( spl0_136
  <=> c2_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f574,plain,
    ( spl0_85
  <=> c0_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f476,plain,
    ( spl0_66
  <=> c3_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f980,plain,
    ( c0_1(a794)
    | c2_1(a794)
    | ~ spl0_6
    | ~ spl0_66 ),
    inference(resolution,[],[f221,f478]) ).

fof(f478,plain,
    ( c3_1(a794)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f978,plain,
    ( ~ spl0_2
    | spl0_154 ),
    inference(avatar_split_clause,[],[f41,f975,f202]) ).

fof(f202,plain,
    ( spl0_2
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f41,axiom,
    ( c3_1(a867)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f973,plain,
    ( ~ spl0_42
    | spl0_153 ),
    inference(avatar_split_clause,[],[f73,f970,f374]) ).

fof(f374,plain,
    ( spl0_42
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f73,axiom,
    ( c1_1(a806)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f967,plain,
    ( ~ spl0_76
    | spl0_152 ),
    inference(avatar_split_clause,[],[f61,f964,f529]) ).

fof(f529,plain,
    ( spl0_76
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f61,axiom,
    ( c1_1(a833)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f962,plain,
    ( spl0_5
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f23,f552,f216]) ).

fof(f216,plain,
    ( spl0_5
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f552,plain,
    ( spl0_81
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f23,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f961,plain,
    ( spl0_18
    | spl0_37
    | spl0_32 ),
    inference(avatar_split_clause,[],[f34,f327,f350,f268]) ).

fof(f268,plain,
    ( spl0_18
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f350,plain,
    ( spl0_37
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f327,plain,
    ( spl0_32
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f34,axiom,
    ( hskp27
    | hskp21
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f960,plain,
    ( spl0_151
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f46,f268,f957]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c2_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f954,plain,
    ( ~ spl0_5
    | spl0_10
    | spl0_8
    | spl0_78 ),
    inference(avatar_split_clause,[],[f194,f537,f226,f234,f216]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X1)
      | ~ c0_1(X0)
      | c3_1(X2)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f953,plain,
    ( ~ spl0_74
    | spl0_150 ),
    inference(avatar_split_clause,[],[f52,f950,f519]) ).

fof(f519,plain,
    ( spl0_74
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f52,axiom,
    ( c3_1(a869)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f937,plain,
    ( spl0_147
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f60,f350,f934]) ).

fof(f60,axiom,
    ( ~ hskp21
    | c3_1(a838) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f932,plain,
    ( ~ spl0_146
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f116,f374,f929]) ).

fof(f116,axiom,
    ( ~ hskp9
    | ~ c3_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f927,plain,
    ( spl0_145
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f70,f230,f924]) ).

fof(f230,plain,
    ( spl0_9
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f70,axiom,
    ( ~ hskp12
    | c2_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f922,plain,
    ( spl0_52
    | ~ spl0_5
    | spl0_93
    | spl0_21 ),
    inference(avatar_split_clause,[],[f172,f282,f617,f216,f416]) ).

fof(f416,plain,
    ( spl0_52
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp6
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f921,plain,
    ( ~ spl0_144
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f95,f529,f918]) ).

fof(f95,axiom,
    ( ~ hskp20
    | ~ c2_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f916,plain,
    ( ~ spl0_14
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f114,f913,f250]) ).

fof(f250,plain,
    ( spl0_14
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f114,axiom,
    ( ~ c2_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f911,plain,
    ( ~ spl0_72
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f97,f908,f509]) ).

fof(f509,plain,
    ( spl0_72
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f97,axiom,
    ( ~ c3_1(a832)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f900,plain,
    ( spl0_140
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f51,f519,f897]) ).

fof(f51,axiom,
    ( ~ hskp26
    | c2_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f895,plain,
    ( ~ spl0_81
    | spl0_139 ),
    inference(avatar_split_clause,[],[f74,f892,f552]) ).

fof(f74,axiom,
    ( c1_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f889,plain,
    ( spl0_138
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f59,f350,f886]) ).

fof(f59,axiom,
    ( ~ hskp21
    | c0_1(a838) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f876,plain,
    ( ~ spl0_136
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f130,f254,f873]) ).

fof(f254,plain,
    ( spl0_15
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f130,axiom,
    ( ~ hskp1
    | ~ c2_1(a794) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f871,plain,
    ( ~ spl0_61
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f91,f868,f452]) ).

fof(f452,plain,
    ( spl0_61
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f91,axiom,
    ( ~ c3_1(a856)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f859,plain,
    ( ~ spl0_5
    | spl0_74
    | spl0_28
    | spl0_62 ),
    inference(avatar_split_clause,[],[f159,f457,f310,f519,f216]) ).

fof(f457,plain,
    ( spl0_62
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f159,axiom,
    ! [X0] :
      ( hskp11
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | hskp26
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f857,plain,
    ( spl0_36
    | spl0_4
    | spl0_25
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f148,f216,f298,f211,f345]) ).

fof(f345,plain,
    ( spl0_36
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f211,plain,
    ( spl0_4
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c0_1(X0)
      | hskp17
      | hskp0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f855,plain,
    ( ~ spl0_81
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f118,f852,f552]) ).

fof(f118,axiom,
    ( ~ c3_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f850,plain,
    ( spl0_132
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f84,f345,f847]) ).

fof(f84,axiom,
    ( ~ hskp0
    | c0_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f845,plain,
    ( spl0_5
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f21,f250,f216]) ).

fof(f21,axiom,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f838,plain,
    ( ~ spl0_130
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f123,f285,f835]) ).

fof(f285,plain,
    ( spl0_22
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f123,axiom,
    ( ~ hskp5
    | ~ c1_1(a800) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f833,plain,
    ( ~ spl0_129
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f115,f250,f830]) ).

fof(f115,axiom,
    ( ~ hskp10
    | ~ c3_1(a807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f827,plain,
    ( ~ spl0_33
    | spl0_128 ),
    inference(avatar_split_clause,[],[f79,f824,f332]) ).

fof(f332,plain,
    ( spl0_33
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f79,axiom,
    ( c0_1(a799)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f822,plain,
    ( ~ spl0_127
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f120,f416,f819]) ).

fof(f120,axiom,
    ( ~ hskp6
    | ~ c0_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f817,plain,
    ( ~ spl0_126
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f124,f332,f814]) ).

fof(f124,axiom,
    ( ~ hskp4
    | ~ c1_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f812,plain,
    ( spl0_16
    | spl0_61
    | spl0_55
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f153,f216,f428,f452,f259]) ).

fof(f259,plain,
    ( spl0_16
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | hskp23
      | c3_1(X0)
      | ~ c1_1(X0)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f811,plain,
    ( spl0_8
    | spl0_22
    | ~ spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f184,f237,f216,f285,f226]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | hskp5
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f810,plain,
    ( ~ spl0_29
    | spl0_125 ),
    inference(avatar_split_clause,[],[f81,f807,f314]) ).

fof(f314,plain,
    ( spl0_29
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f81,axiom,
    ( c0_1(a798)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f805,plain,
    ( ~ spl0_72
    | spl0_124 ),
    inference(avatar_split_clause,[],[f62,f802,f509]) ).

fof(f62,axiom,
    ( c2_1(a832)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f800,plain,
    ( ~ spl0_16
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f108,f797,f259]) ).

fof(f108,axiom,
    ( ~ c0_1(a814)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f778,plain,
    ( ~ spl0_9
    | spl0_119 ),
    inference(avatar_split_clause,[],[f69,f775,f230]) ).

fof(f69,axiom,
    ( c1_1(a809)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f767,plain,
    ( ~ spl0_117
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f109,f259,f764]) ).

fof(f109,axiom,
    ( ~ hskp13
    | ~ c3_1(a814) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f762,plain,
    ( ~ spl0_2
    | spl0_116 ),
    inference(avatar_split_clause,[],[f40,f759,f202]) ).

fof(f40,axiom,
    ( c1_1(a867)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f757,plain,
    ( ~ spl0_115
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f93,f350,f754]) ).

fof(f93,axiom,
    ( ~ hskp21
    | ~ c2_1(a838) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f750,plain,
    ( ~ spl0_32
    | spl0_114 ),
    inference(avatar_split_clause,[],[f50,f747,f327]) ).

fof(f50,axiom,
    ( c3_1(a796)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f738,plain,
    ( spl0_20
    | ~ spl0_5
    | spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f175,f439,f282,f216,f277]) ).

fof(f277,plain,
    ( spl0_20
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp7
      | c0_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f734,plain,
    ( ~ spl0_81
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f117,f731,f552]) ).

fof(f117,axiom,
    ( ~ c2_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f724,plain,
    ( ~ spl0_5
    | spl0_76
    | spl0_2
    | spl0_28 ),
    inference(avatar_split_clause,[],[f158,f310,f202,f529,f216]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp30
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | hskp20
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f723,plain,
    ( spl0_109
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f77,f416,f720]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c2_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f718,plain,
    ( ~ spl0_72
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f96,f715,f509]) ).

fof(f96,axiom,
    ( ~ c1_1(a832)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f709,plain,
    ( spl0_72
    | spl0_18
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_split_clause,[],[f146,f234,f216,f268,f509]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp28
      | hskp19
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f703,plain,
    ( ~ spl0_5
    | spl0_55
    | spl0_93
    | spl0_23 ),
    inference(avatar_split_clause,[],[f192,f289,f617,f428,f216]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ ndr1_0
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f702,plain,
    ( ~ spl0_9
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f110,f699,f230]) ).

fof(f110,axiom,
    ( ~ c0_1(a809)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f697,plain,
    ( spl0_105
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f75,f277,f694]) ).

fof(f75,axiom,
    ( ~ hskp7
    | c1_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f691,plain,
    ( ~ spl0_62
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f112,f688,f457]) ).

fof(f112,axiom,
    ( ~ c2_1(a808)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f685,plain,
    ( ~ spl0_18
    | spl0_103 ),
    inference(avatar_split_clause,[],[f47,f682,f268]) ).

fof(f47,axiom,
    ( c3_1(a797)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f680,plain,
    ( ~ spl0_76
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f94,f677,f529]) ).

fof(f94,axiom,
    ( ~ c0_1(a833)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f671,plain,
    ( ~ spl0_62
    | spl0_101 ),
    inference(avatar_split_clause,[],[f71,f668,f457]) ).

fof(f71,axiom,
    ( c3_1(a808)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f665,plain,
    ( spl0_18
    | spl0_57
    | spl0_78
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f182,f216,f537,f435,f268]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | hskp28
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f663,plain,
    ( spl0_100
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f65,f306,f660]) ).

fof(f306,plain,
    ( spl0_27
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f65,axiom,
    ( ~ hskp15
    | c2_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f658,plain,
    ( spl0_10
    | spl0_4
    | spl0_81
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f145,f216,f552,f211,f234]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp17
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f655,plain,
    ( spl0_57
    | spl0_33
    | ~ spl0_5
    | spl0_18 ),
    inference(avatar_split_clause,[],[f151,f268,f216,f332,f435]) ).

fof(f151,axiom,
    ! [X0] :
      ( hskp28
      | ~ ndr1_0
      | hskp4
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f654,plain,
    ( spl0_81
    | ~ spl0_5
    | spl0_25
    | spl0_45 ),
    inference(avatar_split_clause,[],[f179,f386,f298,f216,f552]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f652,plain,
    ( ~ spl0_18
    | spl0_5 ),
    inference(avatar_split_clause,[],[f3,f216,f268]) ).

fof(f3,axiom,
    ( ndr1_0
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f637,plain,
    ( ~ spl0_5
    | spl0_18
    | spl0_32
    | spl0_50 ),
    inference(avatar_split_clause,[],[f133,f407,f327,f268,f216]) ).

fof(f133,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp27
      | hskp28
      | c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f636,plain,
    ( spl0_96
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f68,f259,f633]) ).

fof(f68,axiom,
    ( ~ hskp13
    | c1_1(a814) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f630,plain,
    ( spl0_95
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f66,f306,f627]) ).

fof(f66,axiom,
    ( ~ hskp15
    | c3_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f625,plain,
    ( spl0_94
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f78,f285,f622]) ).

fof(f78,axiom,
    ( ~ hskp5
    | c3_1(a800) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f619,plain,
    ( spl0_92
    | ~ spl0_5
    | spl0_72
    | spl0_93 ),
    inference(avatar_split_clause,[],[f170,f617,f509,f216,f614]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | hskp19
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f612,plain,
    ( ~ spl0_91
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f111,f457,f609]) ).

fof(f111,axiom,
    ( ~ hskp11
    | ~ c1_1(a808) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f607,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_57
    | spl0_10 ),
    inference(avatar_split_clause,[],[f193,f234,f435,f223,f216]) ).

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

fof(f606,plain,
    ( spl0_90
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f64,f211,f603]) ).

fof(f64,axiom,
    ( ~ hskp17
    | c1_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f601,plain,
    ( spl0_18
    | spl0_14
    | spl0_81 ),
    inference(avatar_split_clause,[],[f37,f552,f250,f268]) ).

fof(f37,axiom,
    ( hskp8
    | hskp10
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f588,plain,
    ( ~ spl0_5
    | spl0_10
    | spl0_44
    | spl0_29 ),
    inference(avatar_split_clause,[],[f169,f314,f383,f234,f216]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( hskp3
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f587,plain,
    ( ~ spl0_42
    | spl0_87 ),
    inference(avatar_split_clause,[],[f72,f584,f374]) ).

fof(f72,axiom,
    ( c0_1(a806)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f577,plain,
    ( ~ spl0_85
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f129,f254,f574]) ).

fof(f129,axiom,
    ( ~ hskp1
    | ~ c0_1(a794) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f572,plain,
    ( ~ spl0_27
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f105,f569,f306]) ).

fof(f105,axiom,
    ( ~ c1_1(a817)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f567,plain,
    ( spl0_16
    | ~ spl0_5
    | spl0_43
    | spl0_7 ),
    inference(avatar_split_clause,[],[f178,f223,f379,f216,f259]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp13
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f565,plain,
    ( ~ spl0_83
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f122,f285,f562]) ).

fof(f122,axiom,
    ( ~ hskp5
    | ~ c0_1(a800) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f560,plain,
    ( ~ spl0_14
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f113,f557,f250]) ).

fof(f113,axiom,
    ( ~ c0_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f555,plain,
    ( spl0_81
    | ~ spl0_5
    | spl0_33
    | spl0_21 ),
    inference(avatar_split_clause,[],[f137,f282,f332,f216,f552]) ).

fof(f137,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp4
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp8
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f550,plain,
    ( ~ spl0_29
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f125,f547,f314]) ).

fof(f125,axiom,
    ( ~ c3_1(a798)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f545,plain,
    ( spl0_6
    | spl0_42
    | ~ spl0_5
    | spl0_57 ),
    inference(avatar_split_clause,[],[f173,f435,f216,f374,f220]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp9
      | ~ c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f544,plain,
    ( ~ spl0_74
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f86,f541,f519]) ).

fof(f86,axiom,
    ( ~ c0_1(a869)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f539,plain,
    ( ~ spl0_5
    | spl0_76
    | spl0_42
    | spl0_78 ),
    inference(avatar_split_clause,[],[f152,f537,f374,f529,f216]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp9
      | hskp20
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f535,plain,
    ( spl0_76
    | ~ spl0_5
    | spl0_15
    | spl0_77 ),
    inference(avatar_split_clause,[],[f142,f533,f254,f216,f529]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp1
      | ~ ndr1_0
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f517,plain,
    ( spl0_73
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f76,f277,f514]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c3_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f507,plain,
    ( spl0_11
    | spl0_45
    | ~ spl0_5
    | spl0_18 ),
    inference(avatar_split_clause,[],[f183,f268,f216,f386,f237]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( hskp28
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f506,plain,
    ( ~ spl0_71
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f101,f211,f503]) ).

fof(f101,axiom,
    ( ~ hskp17
    | ~ c2_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f500,plain,
    ( ~ spl0_32
    | spl0_70 ),
    inference(avatar_split_clause,[],[f48,f497,f327]) ).

fof(f48,axiom,
    ( c0_1(a796)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f479,plain,
    ( ~ spl0_15
    | spl0_66 ),
    inference(avatar_split_clause,[],[f83,f476,f254]) ).

fof(f83,axiom,
    ( c3_1(a794)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f474,plain,
    ( spl0_65
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f85,f345,f471]) ).

fof(f85,axiom,
    ( ~ hskp0
    | c2_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f460,plain,
    ( spl0_37
    | ~ spl0_5
    | spl0_58
    | spl0_62 ),
    inference(avatar_split_clause,[],[f162,f457,f439,f216,f350]) ).

fof(f162,axiom,
    ! [X0] :
      ( hskp11
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp21
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f455,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f90,f452,f448]) ).

fof(f90,axiom,
    ( ~ hskp23
    | ~ c2_1(a856) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f441,plain,
    ( spl0_27
    | spl0_58
    | spl0_23
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f176,f216,f289,f439,f306]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | hskp15
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f437,plain,
    ( ~ spl0_5
    | spl0_56
    | spl0_21
    | spl0_57 ),
    inference(avatar_split_clause,[],[f189,f435,f282,f432,f216]) ).

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

fof(f430,plain,
    ( spl0_25
    | spl0_54
    | ~ spl0_5
    | spl0_55 ),
    inference(avatar_split_clause,[],[f188,f428,f216,f425,f298]) ).

fof(f188,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X0)
      | ~ ndr1_0
      | c3_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f423,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f121,f420,f416]) ).

fof(f121,axiom,
    ( ~ c1_1(a802)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f409,plain,
    ( spl0_7
    | spl0_49
    | spl0_50
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f187,f216,f407,f404,f223]) ).

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

fof(f393,plain,
    ( spl0_46
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f80,f332,f390]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c3_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f388,plain,
    ( spl0_44
    | ~ spl0_5
    | spl0_28
    | spl0_45 ),
    inference(avatar_split_clause,[],[f195,f386,f310,f216,f383]) ).

fof(f195,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | c0_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f360,plain,
    ( ~ spl0_5
    | spl0_9
    | spl0_6
    | spl0_23 ),
    inference(avatar_split_clause,[],[f168,f289,f220,f230,f216]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f348,plain,
    ( ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f131,f345,f341]) ).

fof(f131,axiom,
    ( ~ hskp0
    | ~ c1_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f330,plain,
    ( spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f49,f327,f323]) ).

fof(f49,axiom,
    ( ~ hskp27
    | c2_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f321,plain,
    ( ~ spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f82,f318,f314]) ).

fof(f82,axiom,
    ( c2_1(a798)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f280,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f119,f277,f273]) ).

fof(f119,axiom,
    ( ~ hskp7
    | ~ c2_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f271,plain,
    ( spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f45,f268,f264]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c1_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f239,plain,
    ( spl0_9
    | spl0_10
    | spl0_11
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f181,f216,f237,f234,f230]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f228,plain,
    ( ~ spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f190,f226,f223,f220,f216]) ).

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

fof(f214,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f63,f211,f207]) ).

fof(f63,axiom,
    ( ~ hskp17
    | c0_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f205,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f39,f202,f198]) ).

fof(f39,axiom,
    ( ~ hskp30
    | c0_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN473-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % 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 : n014.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 21:58:18 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (20372)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)
% 0.20/0.51  % (20380)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)
% 0.20/0.51  % (20388)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)
% 0.20/0.52  % (20382)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (20373)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (20370)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)
% 0.20/0.53  % (20383)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)
% 1.37/0.53  % (20374)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)
% 1.37/0.53  % (20392)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)
% 1.37/0.53  % (20375)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)
% 1.37/0.53  % (20387)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.53  % (20386)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.37/0.53  % (20389)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)
% 1.37/0.53  % (20384)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)
% 1.37/0.53  % (20371)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)
% 1.37/0.53  Detected maximum model sizes of [31]
% 1.37/0.53  TRYING [1]
% 1.37/0.53  TRYING [2]
% 1.37/0.54  % (20393)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.37/0.54  % (20381)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.37/0.54  % (20398)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.37/0.54  % (20379)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.54  % (20391)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)
% 1.37/0.54  % (20376)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.54  % (20395)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.49/0.55  % (20369)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)
% 1.49/0.55  % (20390)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.49/0.55  % (20396)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)
% 1.49/0.55  % (20399)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)
% 1.49/0.55  % (20378)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)
% 1.49/0.55  Detected maximum model sizes of [31]
% 1.49/0.55  % (20397)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)
% 1.49/0.56  TRYING [3]
% 1.49/0.56  Detected maximum model sizes of [31]
% 1.49/0.56  TRYING [1]
% 1.49/0.56  % (20376)Instruction limit reached!
% 1.49/0.56  % (20376)------------------------------
% 1.49/0.56  % (20376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (20376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (20376)Termination reason: Unknown
% 1.49/0.56  % (20376)Termination phase: Saturation
% 1.49/0.56  
% 1.49/0.56  % (20376)Memory used [KB]: 6012
% 1.49/0.56  % (20376)Time elapsed: 0.107 s
% 1.49/0.56  % (20376)Instructions burned: 7 (million)
% 1.49/0.56  % (20376)------------------------------
% 1.49/0.56  % (20376)------------------------------
% 1.49/0.56  TRYING [2]
% 1.49/0.56  TRYING [1]
% 1.49/0.56  TRYING [2]
% 1.49/0.56  TRYING [3]
% 1.49/0.56  TRYING [4]
% 1.49/0.56  % (20377)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.56  % (20385)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)
% 1.49/0.56  TRYING [4]
% 1.49/0.56  % (20377)Instruction limit reached!
% 1.49/0.56  % (20377)------------------------------
% 1.49/0.56  % (20377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  TRYING [3]
% 1.49/0.56  % (20377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (20377)Termination reason: Unknown
% 1.49/0.56  % (20377)Termination phase: Blocked clause elimination
% 1.49/0.56  
% 1.49/0.56  % (20377)Memory used [KB]: 1151
% 1.49/0.56  % (20377)Time elapsed: 0.005 s
% 1.49/0.56  % (20377)Instructions burned: 2 (million)
% 1.49/0.56  % (20377)------------------------------
% 1.49/0.56  % (20377)------------------------------
% 1.49/0.57  % (20372)First to succeed.
% 1.49/0.57  TRYING [4]
% 1.49/0.59  % (20380)Also succeeded, but the first one will report.
% 1.49/0.59  % (20372)Refutation found. Thanks to Tanya!
% 1.49/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.49/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.59  % (20372)------------------------------
% 1.49/0.59  % (20372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.59  % (20372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.59  % (20372)Termination reason: Refutation
% 1.49/0.59  
% 1.49/0.59  % (20372)Memory used [KB]: 6780
% 1.49/0.59  % (20372)Time elapsed: 0.161 s
% 1.49/0.59  % (20372)Instructions burned: 36 (million)
% 1.49/0.59  % (20372)------------------------------
% 1.49/0.59  % (20372)------------------------------
% 1.49/0.59  % (20368)Success in time 0.239 s
%------------------------------------------------------------------------------