TSTP Solution File: SYN481-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN481-1 : 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 : n021.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 19:38:23 EDT 2022

% Result   : Unsatisfiable 1.50s 0.61s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  231
% Syntax   : Number of formulae    :  526 (   1 unt;   0 def)
%            Number of atoms       : 1631 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1877 ( 772   ~; 977   |;   0   &)
%                                         ( 128 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  156 ( 155 usr; 152 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  106 ( 106   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2022,plain,
    $false,
    inference(avatar_sat_refutation,[],[f224,f231,f240,f245,f287,f314,f322,f333,f338,f347,f358,f368,f372,f377,f390,f397,f405,f410,f419,f442,f447,f457,f462,f473,f482,f489,f502,f512,f525,f531,f536,f542,f547,f557,f565,f570,f575,f593,f602,f607,f612,f619,f623,f624,f630,f642,f647,f652,f661,f662,f666,f671,f673,f679,f699,f705,f717,f723,f729,f730,f735,f740,f745,f750,f766,f767,f774,f780,f789,f799,f801,f807,f813,f821,f836,f837,f842,f845,f851,f853,f860,f866,f873,f879,f884,f886,f892,f900,f905,f910,f915,f920,f921,f936,f941,f948,f954,f957,f962,f964,f974,f975,f985,f992,f997,f1020,f1040,f1055,f1060,f1087,f1096,f1103,f1136,f1144,f1170,f1199,f1205,f1216,f1234,f1235,f1236,f1278,f1284,f1310,f1323,f1324,f1356,f1378,f1459,f1470,f1499,f1506,f1528,f1533,f1573,f1574,f1583,f1629,f1630,f1631,f1685,f1699,f1701,f1715,f1731,f1734,f1741,f1744,f1786,f1792,f1796,f1798,f1813,f1821,f1838,f1839,f1851,f1890,f1891,f1951,f1972,f1974,f1977,f2018,f2020]) ).

fof(f2020,plain,
    ( ~ spl0_127
    | spl0_126
    | ~ spl0_30
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2016,f1100,f324,f804,f810]) ).

fof(f810,plain,
    ( spl0_127
  <=> c3_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f804,plain,
    ( spl0_126
  <=> c0_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f324,plain,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1100,plain,
    ( spl0_163
  <=> c1_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2016,plain,
    ( c0_1(a1638)
    | ~ c3_1(a1638)
    | ~ spl0_30
    | ~ spl0_163 ),
    inference(resolution,[],[f325,f1102]) ).

fof(f1102,plain,
    ( c1_1(a1638)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f325,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f2018,plain,
    ( ~ spl0_147
    | spl0_64
    | ~ spl0_30
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2017,f567,f324,f479,f938]) ).

fof(f938,plain,
    ( spl0_147
  <=> c3_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f479,plain,
    ( spl0_64
  <=> c0_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f567,plain,
    ( spl0_82
  <=> c1_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2017,plain,
    ( c0_1(a1637)
    | ~ c3_1(a1637)
    | ~ spl0_30
    | ~ spl0_82 ),
    inference(resolution,[],[f325,f569]) ).

fof(f569,plain,
    ( c1_1(a1637)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f1977,plain,
    ( spl0_113
    | spl0_157
    | ~ spl0_41
    | spl0_57 ),
    inference(avatar_split_clause,[],[f1976,f444,f370,f1007,f732]) ).

fof(f732,plain,
    ( spl0_113
  <=> c0_1(a1701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1007,plain,
    ( spl0_157
  <=> c2_1(a1701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f370,plain,
    ( spl0_41
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f444,plain,
    ( spl0_57
  <=> c1_1(a1701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1976,plain,
    ( c2_1(a1701)
    | c0_1(a1701)
    | ~ spl0_41
    | spl0_57 ),
    inference(resolution,[],[f446,f371]) ).

fof(f371,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f446,plain,
    ( ~ c1_1(a1701)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1974,plain,
    ( spl0_29
    | ~ spl0_41
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1971,f783,f370,f320]) ).

fof(f320,plain,
    ( spl0_29
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f783,plain,
    ( spl0_122
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1971,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_41
    | ~ spl0_122 ),
    inference(duplicate_literal_removal,[],[f1959]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_41
    | ~ spl0_122 ),
    inference(resolution,[],[f784,f371]) ).

fof(f784,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f1972,plain,
    ( spl0_75
    | spl0_86
    | ~ spl0_108
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1965,f783,f702,f590,f533]) ).

fof(f533,plain,
    ( spl0_75
  <=> c0_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f590,plain,
    ( spl0_86
  <=> c3_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f702,plain,
    ( spl0_108
  <=> c1_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1965,plain,
    ( c3_1(a1650)
    | c0_1(a1650)
    | ~ spl0_108
    | ~ spl0_122 ),
    inference(resolution,[],[f784,f704]) ).

fof(f704,plain,
    ( c1_1(a1650)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1951,plain,
    ( ~ spl0_179
    | spl0_60
    | ~ spl0_101
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1943,f951,f664,f459,f1467]) ).

fof(f1467,plain,
    ( spl0_179
  <=> c0_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f459,plain,
    ( spl0_60
  <=> c2_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f664,plain,
    ( spl0_101
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f951,plain,
    ( spl0_149
  <=> c1_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1943,plain,
    ( c2_1(a1643)
    | ~ c0_1(a1643)
    | ~ spl0_101
    | ~ spl0_149 ),
    inference(resolution,[],[f665,f953]) ).

fof(f953,plain,
    ( c1_1(a1643)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f665,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f1891,plain,
    ( spl0_111
    | spl0_182
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1875,f839,f206,f1590,f720]) ).

fof(f720,plain,
    ( spl0_111
  <=> c0_1(a1737) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1590,plain,
    ( spl0_182
  <=> c1_1(a1737) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f206,plain,
    ( spl0_2
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f839,plain,
    ( spl0_132
  <=> c3_1(a1737) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1875,plain,
    ( c1_1(a1737)
    | c0_1(a1737)
    | ~ spl0_2
    | ~ spl0_132 ),
    inference(resolution,[],[f207,f841]) ).

fof(f841,plain,
    ( c3_1(a1737)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f207,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f1890,plain,
    ( spl0_111
    | ~ spl0_102
    | ~ spl0_45
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1888,f1590,f388,f668,f720]) ).

fof(f668,plain,
    ( spl0_102
  <=> c2_1(a1737) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f388,plain,
    ( spl0_45
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1888,plain,
    ( ~ c2_1(a1737)
    | c0_1(a1737)
    | ~ spl0_45
    | ~ spl0_182 ),
    inference(resolution,[],[f1592,f389]) ).

fof(f389,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1592,plain,
    ( c1_1(a1737)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1590]) ).

fof(f1851,plain,
    ( spl0_115
    | ~ spl0_21
    | ~ spl0_13
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1845,f1326,f251,f284,f742]) ).

fof(f742,plain,
    ( spl0_115
  <=> c3_1(a1648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f284,plain,
    ( spl0_21
  <=> c2_1(a1648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f251,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1326,plain,
    ( spl0_174
  <=> c1_1(a1648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1845,plain,
    ( ~ c2_1(a1648)
    | c3_1(a1648)
    | ~ spl0_13
    | ~ spl0_174 ),
    inference(resolution,[],[f1328,f252]) ).

fof(f252,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f1328,plain,
    ( c1_1(a1648)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1326]) ).

fof(f1839,plain,
    ( spl0_160
    | ~ spl0_73
    | ~ spl0_77
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1834,f640,f544,f522,f1052]) ).

fof(f1052,plain,
    ( spl0_160
  <=> c2_1(a1634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f522,plain,
    ( spl0_73
  <=> c0_1(a1634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f544,plain,
    ( spl0_77
  <=> c3_1(a1634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f640,plain,
    ( spl0_96
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1834,plain,
    ( ~ c0_1(a1634)
    | c2_1(a1634)
    | ~ spl0_77
    | ~ spl0_96 ),
    inference(resolution,[],[f641,f546]) ).

fof(f546,plain,
    ( c3_1(a1634)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f641,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f1838,plain,
    ( spl0_142
    | ~ spl0_5
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1831,f640,f407,f217,f907]) ).

fof(f907,plain,
    ( spl0_142
  <=> c2_1(a1640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f217,plain,
    ( spl0_5
  <=> c0_1(a1640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f407,plain,
    ( spl0_49
  <=> c3_1(a1640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1831,plain,
    ( ~ c0_1(a1640)
    | c2_1(a1640)
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(resolution,[],[f641,f409]) ).

fof(f409,plain,
    ( c3_1(a1640)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1821,plain,
    ( spl0_136
    | ~ spl0_97
    | ~ spl0_95
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1806,f696,f637,f644,f870]) ).

fof(f870,plain,
    ( spl0_136
  <=> c1_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f644,plain,
    ( spl0_97
  <=> c0_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f637,plain,
    ( spl0_95
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f696,plain,
    ( spl0_107
  <=> c2_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1806,plain,
    ( ~ c0_1(a1667)
    | c1_1(a1667)
    | ~ spl0_95
    | ~ spl0_107 ),
    inference(resolution,[],[f638,f698]) ).

fof(f698,plain,
    ( c2_1(a1667)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f638,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f1813,plain,
    ( ~ spl0_33
    | spl0_174
    | ~ spl0_21
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1808,f637,f284,f1326,f335]) ).

fof(f335,plain,
    ( spl0_33
  <=> c0_1(a1648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1808,plain,
    ( c1_1(a1648)
    | ~ c0_1(a1648)
    | ~ spl0_21
    | ~ spl0_95 ),
    inference(resolution,[],[f638,f286]) ).

fof(f286,plain,
    ( c2_1(a1648)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f1798,plain,
    ( spl0_93
    | spl0_180
    | spl0_74
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1765,f621,f528,f1501,f627]) ).

fof(f627,plain,
    ( spl0_93
  <=> c0_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1501,plain,
    ( spl0_180
  <=> c3_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f528,plain,
    ( spl0_74
  <=> c1_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f621,plain,
    ( spl0_92
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1765,plain,
    ( c3_1(a1675)
    | c0_1(a1675)
    | spl0_74
    | ~ spl0_92 ),
    inference(resolution,[],[f622,f530]) ).

fof(f530,plain,
    ( ~ c1_1(a1675)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f622,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f1796,plain,
    ( spl0_139
    | spl0_150
    | ~ spl0_92
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1779,f945,f621,f959,f889]) ).

fof(f889,plain,
    ( spl0_139
  <=> c3_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f959,plain,
    ( spl0_150
  <=> c0_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f945,plain,
    ( spl0_148
  <=> c1_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1779,plain,
    ( c0_1(a1644)
    | c3_1(a1644)
    | ~ spl0_92
    | spl0_148 ),
    inference(resolution,[],[f622,f947]) ).

fof(f947,plain,
    ( ~ c1_1(a1644)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f1792,plain,
    ( spl0_29
    | ~ spl0_37
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1783,f621,f353,f320]) ).

fof(f353,plain,
    ( spl0_37
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1783,plain,
    ( ! [X4] :
        ( c2_1(X4)
        | c3_1(X4)
        | c0_1(X4) )
    | ~ spl0_37
    | ~ spl0_92 ),
    inference(duplicate_literal_removal,[],[f1757]) ).

fof(f1757,plain,
    ( ! [X4] :
        ( c0_1(X4)
        | c3_1(X4)
        | c2_1(X4)
        | c0_1(X4) )
    | ~ spl0_37
    | ~ spl0_92 ),
    inference(resolution,[],[f622,f354]) ).

fof(f354,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f1786,plain,
    ( spl0_154
    | spl0_165
    | ~ spl0_92
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1780,f658,f621,f1124,f982]) ).

fof(f982,plain,
    ( spl0_154
  <=> c0_1(a1636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1124,plain,
    ( spl0_165
  <=> c3_1(a1636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f658,plain,
    ( spl0_100
  <=> c1_1(a1636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1780,plain,
    ( c3_1(a1636)
    | c0_1(a1636)
    | ~ spl0_92
    | spl0_100 ),
    inference(resolution,[],[f622,f660]) ).

fof(f660,plain,
    ( ~ c1_1(a1636)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1744,plain,
    ( ~ spl0_89
    | ~ spl0_133
    | ~ spl0_62
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1735,f585,f470,f848,f604]) ).

fof(f604,plain,
    ( spl0_89
  <=> c3_1(a1647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f848,plain,
    ( spl0_133
  <=> c0_1(a1647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f470,plain,
    ( spl0_62
  <=> c1_1(a1647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f585,plain,
    ( spl0_85
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1735,plain,
    ( ~ c0_1(a1647)
    | ~ c3_1(a1647)
    | ~ spl0_62
    | ~ spl0_85 ),
    inference(resolution,[],[f586,f472]) ).

fof(f472,plain,
    ( c1_1(a1647)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f586,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1741,plain,
    ( ~ spl0_5
    | ~ spl0_49
    | ~ spl0_85
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1740,f1057,f585,f407,f217]) ).

fof(f1057,plain,
    ( spl0_161
  <=> c1_1(a1640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1740,plain,
    ( ~ c3_1(a1640)
    | ~ c0_1(a1640)
    | ~ spl0_85
    | ~ spl0_161 ),
    inference(resolution,[],[f586,f1059]) ).

fof(f1059,plain,
    ( c1_1(a1640)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1734,plain,
    ( spl0_98
    | spl0_160
    | ~ spl0_77
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1728,f563,f544,f1052,f649]) ).

fof(f649,plain,
    ( spl0_98
  <=> c1_1(a1634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f563,plain,
    ( spl0_81
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1728,plain,
    ( c2_1(a1634)
    | c1_1(a1634)
    | ~ spl0_77
    | ~ spl0_81 ),
    inference(resolution,[],[f564,f546]) ).

fof(f564,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f1731,plain,
    ( spl0_163
    | spl0_90
    | ~ spl0_81
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1726,f810,f563,f609,f1100]) ).

fof(f609,plain,
    ( spl0_90
  <=> c2_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1726,plain,
    ( c2_1(a1638)
    | c1_1(a1638)
    | ~ spl0_81
    | ~ spl0_127 ),
    inference(resolution,[],[f564,f812]) ).

fof(f812,plain,
    ( c3_1(a1638)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f1715,plain,
    ( spl0_98
    | ~ spl0_73
    | ~ spl0_71
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1713,f544,f514,f522,f649]) ).

fof(f514,plain,
    ( spl0_71
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1713,plain,
    ( ~ c0_1(a1634)
    | c1_1(a1634)
    | ~ spl0_71
    | ~ spl0_77 ),
    inference(resolution,[],[f515,f546]) ).

fof(f515,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f1701,plain,
    ( spl0_126
    | spl0_90
    | ~ spl0_66
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1696,f810,f487,f609,f804]) ).

fof(f487,plain,
    ( spl0_66
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1696,plain,
    ( c2_1(a1638)
    | c0_1(a1638)
    | ~ spl0_66
    | ~ spl0_127 ),
    inference(resolution,[],[f488,f812]) ).

fof(f488,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f1699,plain,
    ( spl0_64
    | spl0_168
    | ~ spl0_66
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1697,f938,f487,f1174,f479]) ).

fof(f1174,plain,
    ( spl0_168
  <=> c2_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1697,plain,
    ( c2_1(a1637)
    | c0_1(a1637)
    | ~ spl0_66
    | ~ spl0_147 ),
    inference(resolution,[],[f488,f940]) ).

fof(f940,plain,
    ( c3_1(a1637)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f1685,plain,
    ( spl0_57
    | ~ spl0_157
    | ~ spl0_65
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1675,f616,f484,f1007,f444]) ).

fof(f484,plain,
    ( spl0_65
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f616,plain,
    ( spl0_91
  <=> c3_1(a1701) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1675,plain,
    ( ~ c2_1(a1701)
    | c1_1(a1701)
    | ~ spl0_65
    | ~ spl0_91 ),
    inference(resolution,[],[f485,f618]) ).

fof(f618,plain,
    ( c3_1(a1701)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f485,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f1631,plain,
    ( spl0_90
    | spl0_126
    | ~ spl0_37
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1627,f1100,f353,f804,f609]) ).

fof(f1627,plain,
    ( c0_1(a1638)
    | c2_1(a1638)
    | ~ spl0_37
    | ~ spl0_163 ),
    inference(resolution,[],[f354,f1102]) ).

fof(f1630,plain,
    ( spl0_64
    | spl0_168
    | ~ spl0_37
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1628,f567,f353,f1174,f479]) ).

fof(f1628,plain,
    ( c2_1(a1637)
    | c0_1(a1637)
    | ~ spl0_37
    | ~ spl0_82 ),
    inference(resolution,[],[f354,f569]) ).

fof(f1629,plain,
    ( spl0_60
    | spl0_179
    | ~ spl0_37
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1624,f951,f353,f1467,f459]) ).

fof(f1624,plain,
    ( c0_1(a1643)
    | c2_1(a1643)
    | ~ spl0_37
    | ~ spl0_149 ),
    inference(resolution,[],[f354,f953]) ).

fof(f1583,plain,
    ( spl0_74
    | spl0_93
    | ~ spl0_2
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1562,f1501,f206,f627,f528]) ).

fof(f1562,plain,
    ( c0_1(a1675)
    | c1_1(a1675)
    | ~ spl0_2
    | ~ spl0_180 ),
    inference(resolution,[],[f207,f1503]) ).

fof(f1503,plain,
    ( c3_1(a1675)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1501]) ).

fof(f1574,plain,
    ( spl0_100
    | spl0_154
    | ~ spl0_2
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1571,f1124,f206,f982,f658]) ).

fof(f1571,plain,
    ( c0_1(a1636)
    | c1_1(a1636)
    | ~ spl0_2
    | ~ spl0_165 ),
    inference(resolution,[],[f207,f1125]) ).

fof(f1125,plain,
    ( c3_1(a1636)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f1573,plain,
    ( spl0_41
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1572,f320,f206,f370]) ).

fof(f1572,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1553]) ).

fof(f1553,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(resolution,[],[f207,f321]) ).

fof(f321,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f1533,plain,
    ( ~ spl0_10
    | spl0_173
    | ~ spl0_11
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1531,f388,f242,f1281,f237]) ).

fof(f237,plain,
    ( spl0_10
  <=> c2_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1281,plain,
    ( spl0_173
  <=> c0_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f242,plain,
    ( spl0_11
  <=> c1_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1531,plain,
    ( c0_1(a1646)
    | ~ c2_1(a1646)
    | ~ spl0_11
    | ~ spl0_45 ),
    inference(resolution,[],[f244,f389]) ).

fof(f244,plain,
    ( c1_1(a1646)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f1528,plain,
    ( ~ spl0_143
    | spl0_114
    | ~ spl0_38
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1495,f1213,f356,f737,f912]) ).

fof(f912,plain,
    ( spl0_143
  <=> c0_1(a1642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f737,plain,
    ( spl0_114
  <=> c3_1(a1642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f356,plain,
    ( spl0_38
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1213,plain,
    ( spl0_170
  <=> c1_1(a1642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1495,plain,
    ( c3_1(a1642)
    | ~ c0_1(a1642)
    | ~ spl0_38
    | ~ spl0_170 ),
    inference(resolution,[],[f357,f1215]) ).

fof(f1215,plain,
    ( c1_1(a1642)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f357,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f1506,plain,
    ( spl0_21
    | spl0_174
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1048,f335,f327,f1326,f284]) ).

fof(f327,plain,
    ( spl0_31
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1048,plain,
    ( c1_1(a1648)
    | c2_1(a1648)
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(resolution,[],[f328,f337]) ).

fof(f337,plain,
    ( c0_1(a1648)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f328,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f1499,plain,
    ( ~ spl0_179
    | spl0_103
    | ~ spl0_38
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1494,f951,f356,f676,f1467]) ).

fof(f676,plain,
    ( spl0_103
  <=> c3_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1494,plain,
    ( c3_1(a1643)
    | ~ c0_1(a1643)
    | ~ spl0_38
    | ~ spl0_149 ),
    inference(resolution,[],[f357,f953]) ).

fof(f1470,plain,
    ( spl0_60
    | spl0_179
    | ~ spl0_29
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1451,f676,f320,f1467,f459]) ).

fof(f1451,plain,
    ( c0_1(a1643)
    | c2_1(a1643)
    | ~ spl0_29
    | spl0_103 ),
    inference(resolution,[],[f321,f678]) ).

fof(f678,plain,
    ( ~ c3_1(a1643)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1459,plain,
    ( spl0_87
    | spl0_140
    | ~ spl0_29
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1455,f917,f320,f897,f595]) ).

fof(f595,plain,
    ( spl0_87
  <=> c2_1(a1697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f897,plain,
    ( spl0_140
  <=> c0_1(a1697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f917,plain,
    ( spl0_144
  <=> c3_1(a1697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1455,plain,
    ( c0_1(a1697)
    | c2_1(a1697)
    | ~ spl0_29
    | spl0_144 ),
    inference(resolution,[],[f321,f919]) ).

fof(f919,plain,
    ( ~ c3_1(a1697)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f1378,plain,
    ( ~ spl0_152
    | spl0_26
    | ~ spl0_17
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1377,f881,f267,f307,f971]) ).

fof(f971,plain,
    ( spl0_152
  <=> c3_1(a1658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f307,plain,
    ( spl0_26
  <=> c2_1(a1658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f267,plain,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f881,plain,
    ( spl0_138
  <=> c1_1(a1658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1377,plain,
    ( c2_1(a1658)
    | ~ c3_1(a1658)
    | ~ spl0_17
    | ~ spl0_138 ),
    inference(resolution,[],[f883,f268]) ).

fof(f268,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f883,plain,
    ( c1_1(a1658)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f1356,plain,
    ( spl0_74
    | spl0_93
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1355,f399,f344,f627,f528]) ).

fof(f344,plain,
    ( spl0_35
  <=> c2_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f399,plain,
    ( spl0_47
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1355,plain,
    ( c0_1(a1675)
    | c1_1(a1675)
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(resolution,[],[f346,f400]) ).

fof(f400,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f346,plain,
    ( c2_1(a1675)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f1324,plain,
    ( ~ spl0_107
    | spl0_136
    | ~ spl0_65
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1318,f1141,f484,f870,f696]) ).

fof(f1141,plain,
    ( spl0_166
  <=> c3_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1318,plain,
    ( c1_1(a1667)
    | ~ c2_1(a1667)
    | ~ spl0_65
    | ~ spl0_166 ),
    inference(resolution,[],[f485,f1143]) ).

fof(f1143,plain,
    ( c3_1(a1667)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1141]) ).

fof(f1323,plain,
    ( spl0_98
    | ~ spl0_160
    | ~ spl0_65
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1322,f544,f484,f1052,f649]) ).

fof(f1322,plain,
    ( ~ c2_1(a1634)
    | c1_1(a1634)
    | ~ spl0_65
    | ~ spl0_77 ),
    inference(resolution,[],[f485,f546]) ).

fof(f1310,plain,
    ( spl0_131
    | spl0_114
    | ~ spl0_53
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1306,f912,f426,f737,f833]) ).

fof(f833,plain,
    ( spl0_131
  <=> c2_1(a1642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f426,plain,
    ( spl0_53
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1306,plain,
    ( c3_1(a1642)
    | c2_1(a1642)
    | ~ spl0_53
    | ~ spl0_143 ),
    inference(resolution,[],[f427,f914]) ).

fof(f914,plain,
    ( c0_1(a1642)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f427,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f1284,plain,
    ( ~ spl0_10
    | ~ spl0_173
    | ~ spl0_8
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1270,f454,f229,f1281,f237]) ).

fof(f229,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f454,plain,
    ( spl0_59
  <=> c3_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1270,plain,
    ( ~ c0_1(a1646)
    | ~ c2_1(a1646)
    | ~ spl0_8
    | ~ spl0_59 ),
    inference(resolution,[],[f230,f456]) ).

fof(f456,plain,
    ( c3_1(a1646)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f230,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f1278,plain,
    ( ~ spl0_160
    | ~ spl0_73
    | ~ spl0_8
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1277,f544,f229,f522,f1052]) ).

fof(f1277,plain,
    ( ~ c0_1(a1634)
    | ~ c2_1(a1634)
    | ~ spl0_8
    | ~ spl0_77 ),
    inference(resolution,[],[f230,f546]) ).

fof(f1236,plain,
    ( ~ spl0_110
    | spl0_125
    | ~ spl0_45
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1222,f572,f388,f796,f714]) ).

fof(f714,plain,
    ( spl0_110
  <=> c2_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f796,plain,
    ( spl0_125
  <=> c0_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f572,plain,
    ( spl0_83
  <=> c1_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1222,plain,
    ( c0_1(a1709)
    | ~ c2_1(a1709)
    | ~ spl0_45
    | ~ spl0_83 ),
    inference(resolution,[],[f389,f574]) ).

fof(f574,plain,
    ( c1_1(a1709)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f1235,plain,
    ( ~ spl0_158
    | spl0_75
    | ~ spl0_45
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1227,f702,f388,f533,f1017]) ).

fof(f1017,plain,
    ( spl0_158
  <=> c2_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1227,plain,
    ( c0_1(a1650)
    | ~ c2_1(a1650)
    | ~ spl0_45
    | ~ spl0_108 ),
    inference(resolution,[],[f389,f704]) ).

fof(f1234,plain,
    ( spl0_64
    | ~ spl0_168
    | ~ spl0_45
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1231,f567,f388,f1174,f479]) ).

fof(f1231,plain,
    ( ~ c2_1(a1637)
    | c0_1(a1637)
    | ~ spl0_45
    | ~ spl0_82 ),
    inference(resolution,[],[f389,f569]) ).

fof(f1216,plain,
    ( spl0_170
    | spl0_131
    | ~ spl0_31
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1211,f912,f327,f833,f1213]) ).

fof(f1211,plain,
    ( c2_1(a1642)
    | c1_1(a1642)
    | ~ spl0_31
    | ~ spl0_143 ),
    inference(resolution,[],[f914,f328]) ).

fof(f1205,plain,
    ( spl0_68
    | spl0_141
    | ~ spl0_37
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1201,f554,f353,f902,f499]) ).

fof(f499,plain,
    ( spl0_68
  <=> c2_1(a1680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f902,plain,
    ( spl0_141
  <=> c0_1(a1680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f554,plain,
    ( spl0_79
  <=> c1_1(a1680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1201,plain,
    ( c0_1(a1680)
    | c2_1(a1680)
    | ~ spl0_37
    | ~ spl0_79 ),
    inference(resolution,[],[f556,f354]) ).

fof(f556,plain,
    ( c1_1(a1680)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f1199,plain,
    ( spl0_158
    | spl0_75
    | ~ spl0_37
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1194,f702,f353,f533,f1017]) ).

fof(f1194,plain,
    ( c0_1(a1650)
    | c2_1(a1650)
    | ~ spl0_37
    | ~ spl0_108 ),
    inference(resolution,[],[f354,f704]) ).

fof(f1170,plain,
    ( spl0_56
    | spl0_116
    | ~ spl0_31
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1169,f994,f327,f747,f439]) ).

fof(f439,plain,
    ( spl0_56
  <=> c2_1(a1639) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f747,plain,
    ( spl0_116
  <=> c1_1(a1639) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f994,plain,
    ( spl0_155
  <=> c0_1(a1639) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1169,plain,
    ( c1_1(a1639)
    | c2_1(a1639)
    | ~ spl0_31
    | ~ spl0_155 ),
    inference(resolution,[],[f996,f328]) ).

fof(f996,plain,
    ( c0_1(a1639)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f1144,plain,
    ( ~ spl0_97
    | spl0_166
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1139,f696,f226,f1141,f644]) ).

fof(f226,plain,
    ( spl0_7
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1139,plain,
    ( c3_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(resolution,[],[f698,f227]) ).

fof(f227,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f1136,plain,
    ( ~ spl0_33
    | spl0_115
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1131,f284,f226,f742,f335]) ).

fof(f1131,plain,
    ( c3_1(a1648)
    | ~ c0_1(a1648)
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(resolution,[],[f227,f286]) ).

fof(f1103,plain,
    ( spl0_163
    | spl0_126
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1098,f810,f206,f804,f1100]) ).

fof(f1098,plain,
    ( c0_1(a1638)
    | c1_1(a1638)
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(resolution,[],[f812,f207]) ).

fof(f1096,plain,
    ( spl0_42
    | spl0_154
    | ~ spl0_41
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1093,f658,f370,f982,f374]) ).

fof(f374,plain,
    ( spl0_42
  <=> c2_1(a1636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1093,plain,
    ( c0_1(a1636)
    | c2_1(a1636)
    | ~ spl0_41
    | spl0_100 ),
    inference(resolution,[],[f371,f660]) ).

fof(f1087,plain,
    ( ~ spl0_50
    | spl0_70
    | ~ spl0_38
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1082,f771,f356,f509,f412]) ).

fof(f412,plain,
    ( spl0_50
  <=> c0_1(a1653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f509,plain,
    ( spl0_70
  <=> c3_1(a1653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f771,plain,
    ( spl0_120
  <=> c1_1(a1653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1082,plain,
    ( c3_1(a1653)
    | ~ c0_1(a1653)
    | ~ spl0_38
    | ~ spl0_120 ),
    inference(resolution,[],[f357,f773]) ).

fof(f773,plain,
    ( c1_1(a1653)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f1060,plain,
    ( spl0_142
    | spl0_161
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1049,f327,f217,f1057,f907]) ).

fof(f1049,plain,
    ( c1_1(a1640)
    | c2_1(a1640)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(resolution,[],[f328,f219]) ).

fof(f219,plain,
    ( c0_1(a1640)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f1055,plain,
    ( spl0_160
    | spl0_98
    | ~ spl0_31
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1050,f522,f327,f649,f1052]) ).

fof(f1050,plain,
    ( c1_1(a1634)
    | c2_1(a1634)
    | ~ spl0_31
    | ~ spl0_73 ),
    inference(resolution,[],[f328,f524]) ).

fof(f524,plain,
    ( c0_1(a1634)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f1040,plain,
    ( spl0_75
    | spl0_158
    | ~ spl0_29
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1034,f590,f320,f1017,f533]) ).

fof(f1034,plain,
    ( c2_1(a1650)
    | c0_1(a1650)
    | ~ spl0_29
    | spl0_86 ),
    inference(resolution,[],[f321,f592]) ).

fof(f592,plain,
    ( ~ c3_1(a1650)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f1020,plain,
    ( spl0_86
    | ~ spl0_158
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1015,f702,f251,f1017,f590]) ).

fof(f1015,plain,
    ( ~ c2_1(a1650)
    | c3_1(a1650)
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(resolution,[],[f704,f252]) ).

fof(f997,plain,
    ( spl0_155
    | spl0_116
    | ~ spl0_2
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f990,f365,f206,f747,f994]) ).

fof(f365,plain,
    ( spl0_40
  <=> c3_1(a1639) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f990,plain,
    ( c1_1(a1639)
    | c0_1(a1639)
    | ~ spl0_2
    | ~ spl0_40 ),
    inference(resolution,[],[f207,f367]) ).

fof(f367,plain,
    ( c3_1(a1639)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f992,plain,
    ( spl0_57
    | spl0_113
    | ~ spl0_2
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f988,f616,f206,f732,f444]) ).

fof(f988,plain,
    ( c0_1(a1701)
    | c1_1(a1701)
    | ~ spl0_2
    | ~ spl0_91 ),
    inference(resolution,[],[f207,f618]) ).

fof(f985,plain,
    ( ~ spl0_154
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f136,f316,f982]) ).

fof(f316,plain,
    ( spl0_28
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f136,axiom,
    ( ~ hskp1
    | ~ c0_1(a1636) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f975,plain,
    ( ~ spl0_3
    | spl0_1
    | spl0_71
    | spl0_61 ),
    inference(avatar_split_clause,[],[f156,f464,f514,f202,f209]) ).

fof(f209,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f202,plain,
    ( spl0_1
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f464,plain,
    ( spl0_61
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f156,axiom,
    ! [X0] :
      ( hskp29
      | c1_1(X0)
      | hskp9
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f974,plain,
    ( ~ spl0_27
    | spl0_152 ),
    inference(avatar_split_clause,[],[f77,f971,f311]) ).

fof(f311,plain,
    ( spl0_27
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f77,axiom,
    ( c3_1(a1658)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f964,plain,
    ( ~ spl0_3
    | spl0_80
    | spl0_72
    | spl0_31 ),
    inference(avatar_split_clause,[],[f146,f327,f518,f559,f209]) ).

fof(f559,plain,
    ( spl0_80
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f518,plain,
    ( spl0_72
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp0
      | hskp16
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f962,plain,
    ( ~ spl0_1
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f121,f959,f202]) ).

fof(f121,axiom,
    ( ~ c0_1(a1644)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f957,plain,
    ( spl0_3
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f32,f518,f209]) ).

fof(f32,axiom,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f954,plain,
    ( spl0_149
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f83,f402,f951]) ).

fof(f402,plain,
    ( spl0_48
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f83,axiom,
    ( ~ hskp8
    | c1_1(a1643) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f948,plain,
    ( ~ spl0_148
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f122,f202,f945]) ).

fof(f122,axiom,
    ( ~ hskp9
    | ~ c1_1(a1644) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f941,plain,
    ( spl0_147
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f91,f475,f938]) ).

fof(f475,plain,
    ( spl0_63
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f91,axiom,
    ( ~ hskp2
    | c3_1(a1637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f936,plain,
    ( spl0_51
    | spl0_55
    | spl0_46 ),
    inference(avatar_split_clause,[],[f36,f392,f434,f416]) ).

fof(f416,plain,
    ( spl0_51
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f434,plain,
    ( spl0_55
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f392,plain,
    ( spl0_46
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f36,axiom,
    ( hskp25
    | hskp24
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f921,plain,
    ( spl0_29
    | ~ spl0_3
    | spl0_45
    | spl0_7 ),
    inference(avatar_split_clause,[],[f194,f226,f388,f209,f320]) ).

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

fof(f920,plain,
    ( ~ spl0_88
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f103,f917,f599]) ).

fof(f599,plain,
    ( spl0_88
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f103,axiom,
    ( ~ c3_1(a1697)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f915,plain,
    ( spl0_143
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f84,f384,f912]) ).

fof(f384,plain,
    ( spl0_44
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f84,axiom,
    ( ~ hskp7
    | c0_1(a1642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f910,plain,
    ( ~ spl0_6
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f130,f907,f221]) ).

fof(f221,plain,
    ( spl0_6
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f130,axiom,
    ( ~ c2_1(a1640)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f905,plain,
    ( ~ spl0_141
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f107,f495,f902]) ).

fof(f495,plain,
    ( spl0_67
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f107,axiom,
    ( ~ hskp18
    | ~ c0_1(a1680) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f900,plain,
    ( ~ spl0_140
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f101,f599,f897]) ).

fof(f101,axiom,
    ( ~ hskp22
    | ~ c0_1(a1697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f892,plain,
    ( ~ spl0_1
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f123,f889,f202]) ).

fof(f123,axiom,
    ( ~ c3_1(a1644)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f886,plain,
    ( spl0_9
    | spl0_72
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f145,f209,f206,f518,f233]) ).

fof(f233,plain,
    ( spl0_9
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | hskp0
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f884,plain,
    ( ~ spl0_27
    | spl0_138 ),
    inference(avatar_split_clause,[],[f76,f881,f311]) ).

fof(f76,axiom,
    ( c1_1(a1658)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f879,plain,
    ( spl0_31
    | ~ spl0_3
    | spl0_122
    | spl0_38 ),
    inference(avatar_split_clause,[],[f195,f356,f783,f209,f327]) ).

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

fof(f873,plain,
    ( ~ spl0_136
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f111,f559,f870]) ).

fof(f111,axiom,
    ( ~ hskp16
    | ~ c1_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f866,plain,
    ( spl0_65
    | spl0_31
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f193,f399,f209,f327,f484]) ).

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

fof(f860,plain,
    ( spl0_13
    | ~ spl0_3
    | spl0_85
    | spl0_88 ),
    inference(avatar_split_clause,[],[f190,f599,f585,f209,f251]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( hskp22
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f853,plain,
    ( spl0_46
    | spl0_28
    | spl0_34 ),
    inference(avatar_split_clause,[],[f44,f340,f316,f392]) ).

fof(f340,plain,
    ( spl0_34
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f44,axiom,
    ( hskp17
    | hskp1
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f851,plain,
    ( spl0_133
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f50,f464,f848]) ).

fof(f50,axiom,
    ( ~ hskp29
    | c0_1(a1647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f845,plain,
    ( spl0_72
    | spl0_28
    | spl0_6 ),
    inference(avatar_split_clause,[],[f39,f221,f316,f518]) ).

fof(f39,axiom,
    ( hskp5
    | hskp1
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f842,plain,
    ( spl0_132
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f60,f360,f839]) ).

fof(f360,plain,
    ( spl0_39
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f60,axiom,
    ( ~ hskp26
    | c3_1(a1737) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f837,plain,
    ( spl0_32
    | spl0_27
    | spl0_45
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f153,f209,f388,f311,f330]) ).

fof(f330,plain,
    ( spl0_32
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | hskp13
      | ~ c2_1(X0)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f836,plain,
    ( ~ spl0_131
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f126,f384,f833]) ).

fof(f126,axiom,
    ( ~ hskp7
    | ~ c2_1(a1642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f821,plain,
    ( ~ spl0_3
    | spl0_47
    | spl0_38
    | spl0_8 ),
    inference(avatar_split_clause,[],[f196,f229,f356,f399,f209]) ).

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

fof(f813,plain,
    ( ~ spl0_15
    | spl0_127 ),
    inference(avatar_split_clause,[],[f89,f810,f259]) ).

fof(f259,plain,
    ( spl0_15
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f89,axiom,
    ( c3_1(a1638)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f807,plain,
    ( ~ spl0_15
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f133,f804,f259]) ).

fof(f133,axiom,
    ( ~ c0_1(a1638)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f801,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_30
    | spl0_66 ),
    inference(avatar_split_clause,[],[f174,f487,f324,f330,f209]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c1_1(X0)
      | hskp11
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f799,plain,
    ( ~ spl0_125
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f95,f392,f796]) ).

fof(f95,axiom,
    ( ~ hskp25
    | ~ c0_1(a1709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f789,plain,
    ( spl0_63
    | ~ spl0_3
    | spl0_41
    | spl0_15 ),
    inference(avatar_split_clause,[],[f141,f259,f370,f209,f475]) ).

fof(f141,axiom,
    ! [X0] :
      ( hskp3
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f780,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_95
    | spl0_96 ),
    inference(avatar_split_clause,[],[f185,f640,f637,f340,f209]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c2_1(X1)
      | hskp17
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f774,plain,
    ( spl0_120
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f79,f416,f771]) ).

fof(f79,axiom,
    ( ~ hskp12
    | c1_1(a1653) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f767,plain,
    ( spl0_72
    | ~ spl0_3
    | spl0_41
    | spl0_53 ),
    inference(avatar_split_clause,[],[f167,f426,f370,f209,f518]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f766,plain,
    ( spl0_28
    | ~ spl0_3
    | spl0_7
    | spl0_48 ),
    inference(avatar_split_clause,[],[f160,f402,f226,f209,f316]) ).

fof(f160,axiom,
    ! [X0] :
      ( hskp8
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f750,plain,
    ( ~ spl0_116
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f131,f247,f747]) ).

fof(f247,plain,
    ( spl0_12
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f131,axiom,
    ( ~ hskp4
    | ~ c1_1(a1639) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f745,plain,
    ( ~ spl0_20
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f120,f742,f280]) ).

fof(f280,plain,
    ( spl0_20
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f120,axiom,
    ( ~ c3_1(a1648)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f740,plain,
    ( ~ spl0_114
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f127,f384,f737]) ).

fof(f127,axiom,
    ( ~ hskp7
    | ~ c3_1(a1642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f735,plain,
    ( ~ spl0_113
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f96,f434,f732]) ).

fof(f96,axiom,
    ( ~ hskp24
    | ~ c0_1(a1701) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f730,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_2 ),
    inference(avatar_split_clause,[],[f171,f206,f388,f209]) ).

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

fof(f729,plain,
    ( spl0_20
    | spl0_32
    | spl0_67 ),
    inference(avatar_split_clause,[],[f38,f495,f330,f280]) ).

fof(f38,axiom,
    ( hskp18
    | hskp11
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f723,plain,
    ( ~ spl0_111
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f94,f360,f720]) ).

fof(f94,axiom,
    ( ~ hskp26
    | ~ c0_1(a1737) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f717,plain,
    ( ~ spl0_46
    | spl0_110 ),
    inference(avatar_split_clause,[],[f62,f714,f392]) ).

fof(f62,axiom,
    ( c2_1(a1709)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f705,plain,
    ( ~ spl0_32
    | spl0_108 ),
    inference(avatar_split_clause,[],[f80,f702,f330]) ).

fof(f80,axiom,
    ( c1_1(a1650)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f699,plain,
    ( ~ spl0_80
    | spl0_107 ),
    inference(avatar_split_clause,[],[f73,f696,f559]) ).

fof(f73,axiom,
    ( c2_1(a1667)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f679,plain,
    ( ~ spl0_103
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f125,f402,f676]) ).

fof(f125,axiom,
    ( ~ hskp8
    | ~ c3_1(a1643) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f673,plain,
    ( spl0_72
    | spl0_48
    | spl0_44 ),
    inference(avatar_split_clause,[],[f40,f384,f402,f518]) ).

fof(f40,axiom,
    ( hskp7
    | hskp8
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f671,plain,
    ( spl0_102
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f59,f360,f668]) ).

fof(f59,axiom,
    ( ~ hskp26
    | c2_1(a1737) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f666,plain,
    ( spl0_12
    | spl0_101
    | spl0_92
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f170,f209,f621,f664,f247]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | hskp4
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f662,plain,
    ( spl0_72
    | spl0_28
    | spl0_39 ),
    inference(avatar_split_clause,[],[f41,f360,f316,f518]) ).

fof(f41,axiom,
    ( hskp26
    | hskp1
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f661,plain,
    ( ~ spl0_28
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f137,f658,f316]) ).

fof(f137,axiom,
    ( ~ c1_1(a1636)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f652,plain,
    ( ~ spl0_72
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f139,f649,f518]) ).

fof(f139,axiom,
    ( ~ c1_1(a1634)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f647,plain,
    ( ~ spl0_80
    | spl0_97 ),
    inference(avatar_split_clause,[],[f72,f644,f559]) ).

fof(f72,axiom,
    ( c0_1(a1667)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f642,plain,
    ( spl0_95
    | spl0_63
    | ~ spl0_3
    | spl0_96 ),
    inference(avatar_split_clause,[],[f184,f640,f209,f475,f637]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp2
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f630,plain,
    ( ~ spl0_34
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f109,f627,f340]) ).

fof(f109,axiom,
    ( ~ c0_1(a1675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f624,plain,
    ( spl0_3
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f25,f384,f209]) ).

fof(f25,axiom,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

fof(f623,plain,
    ( ~ spl0_3
    | spl0_92
    | spl0_71
    | spl0_13 ),
    inference(avatar_split_clause,[],[f192,f251,f514,f621,f209]) ).

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

fof(f619,plain,
    ( spl0_91
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f63,f434,f616]) ).

fof(f63,axiom,
    ( ~ hskp24
    | c3_1(a1701) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f612,plain,
    ( ~ spl0_15
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f134,f609,f259]) ).

fof(f134,axiom,
    ( ~ c2_1(a1638)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f607,plain,
    ( ~ spl0_61
    | spl0_89 ),
    inference(avatar_split_clause,[],[f52,f604,f464]) ).

fof(f52,axiom,
    ( c3_1(a1647)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f602,plain,
    ( ~ spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f102,f599,f595]) ).

fof(f102,axiom,
    ( ~ hskp22
    | ~ c2_1(a1697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f593,plain,
    ( ~ spl0_86
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f119,f330,f590]) ).

fof(f119,axiom,
    ( ~ hskp11
    | ~ c3_1(a1650) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f575,plain,
    ( ~ spl0_46
    | spl0_83 ),
    inference(avatar_split_clause,[],[f61,f572,f392]) ).

fof(f61,axiom,
    ( c1_1(a1709)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f570,plain,
    ( spl0_82
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f90,f475,f567]) ).

fof(f90,axiom,
    ( ~ hskp2
    | c1_1(a1637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f565,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_80
    | spl0_81 ),
    inference(avatar_split_clause,[],[f147,f563,f559,f280,f209]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | hskp16
      | c1_1(X0)
      | hskp10
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f557,plain,
    ( spl0_79
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f70,f495,f554]) ).

fof(f70,axiom,
    ( ~ hskp18
    | c1_1(a1680) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f547,plain,
    ( spl0_77
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f93,f518,f544]) ).

fof(f93,axiom,
    ( ~ hskp0
    | c3_1(a1634) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f542,plain,
    ( spl0_3
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f24,f402,f209]) ).

fof(f24,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f536,plain,
    ( ~ spl0_32
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f118,f533,f330]) ).

fof(f118,axiom,
    ( ~ c0_1(a1650)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f531,plain,
    ( ~ spl0_74
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f110,f340,f528]) ).

fof(f110,axiom,
    ( ~ hskp17
    | ~ c1_1(a1675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f525,plain,
    ( ~ spl0_72
    | spl0_73 ),
    inference(avatar_split_clause,[],[f92,f522,f518]) ).

fof(f92,axiom,
    ( c0_1(a1634)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f512,plain,
    ( ~ spl0_51
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f117,f509,f416]) ).

fof(f117,axiom,
    ( ~ c3_1(a1653)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f502,plain,
    ( ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f108,f499,f495]) ).

fof(f108,axiom,
    ( ~ c2_1(a1680)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f489,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_65
    | spl0_66 ),
    inference(avatar_split_clause,[],[f176,f487,f484,f209,f416]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f482,plain,
    ( ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f135,f479,f475]) ).

fof(f135,axiom,
    ( ~ c0_1(a1637)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f473,plain,
    ( ~ spl0_61
    | spl0_62 ),
    inference(avatar_split_clause,[],[f51,f470,f464]) ).

fof(f51,axiom,
    ( c1_1(a1647)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f462,plain,
    ( ~ spl0_60
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f124,f402,f459]) ).

fof(f124,axiom,
    ( ~ hskp8
    | ~ c2_1(a1643) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f457,plain,
    ( spl0_59
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f55,f233,f454]) ).

fof(f55,axiom,
    ( ~ hskp28
    | c3_1(a1646) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f447,plain,
    ( ~ spl0_57
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f97,f434,f444]) ).

fof(f97,axiom,
    ( ~ hskp24
    | ~ c1_1(a1701) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f442,plain,
    ( ~ spl0_12
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f132,f439,f247]) ).

fof(f132,axiom,
    ( ~ c2_1(a1639)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f419,plain,
    ( spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f78,f416,f412]) ).

fof(f78,axiom,
    ( ~ hskp12
    | c0_1(a1653) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f410,plain,
    ( spl0_49
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f87,f221,f407]) ).

fof(f87,axiom,
    ( ~ hskp5
    | c3_1(a1640) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f405,plain,
    ( ~ spl0_3
    | spl0_44
    | spl0_47
    | spl0_48 ),
    inference(avatar_split_clause,[],[f144,f402,f399,f384,f209]) ).

fof(f144,axiom,
    ! [X0] :
      ( hskp8
      | c0_1(X0)
      | hskp7
      | ~ ndr1_0
      | c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f397,plain,
    ( spl0_28
    | spl0_32
    | spl0_34 ),
    inference(avatar_split_clause,[],[f46,f340,f330,f316]) ).

fof(f46,axiom,
    ( hskp17
    | hskp11
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f390,plain,
    ( ~ spl0_3
    | spl0_44
    | spl0_17
    | spl0_45 ),
    inference(avatar_split_clause,[],[f181,f388,f267,f384,f209]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | hskp7
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f377,plain,
    ( ~ spl0_42
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f138,f316,f374]) ).

fof(f138,axiom,
    ( ~ hskp1
    | ~ c2_1(a1636) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f372,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_41
    | spl0_37 ),
    inference(avatar_split_clause,[],[f187,f353,f370,f320,f209]) ).

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

fof(f368,plain,
    ( spl0_40
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f88,f247,f365]) ).

fof(f88,axiom,
    ( ~ hskp4
    | c3_1(a1639) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f358,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f173,f356,f353,f330,f209]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | hskp11
      | c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f347,plain,
    ( ~ spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f71,f344,f340]) ).

fof(f71,axiom,
    ( c2_1(a1675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f338,plain,
    ( ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f81,f335,f280]) ).

fof(f81,axiom,
    ( c0_1(a1648)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f333,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f177,f330,f327,f324,f209]) ).

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

fof(f322,plain,
    ( spl0_20
    | spl0_28
    | spl0_29
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f142,f209,f320,f316,f280]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c3_1(X0)
      | c2_1(X0)
      | hskp1
      | hskp10
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f314,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f116,f311,f307]) ).

fof(f116,axiom,
    ( ~ hskp13
    | ~ c2_1(a1658) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f287,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f82,f284,f280]) ).

fof(f82,axiom,
    ( c2_1(a1648)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f245,plain,
    ( ~ spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f53,f242,f233]) ).

fof(f53,axiom,
    ( c1_1(a1646)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f240,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f54,f237,f233]) ).

fof(f54,axiom,
    ( c2_1(a1646)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f231,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f197,f229,f209,f226,f206]) ).

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

fof(f224,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f86,f221,f217]) ).

fof(f86,axiom,
    ( ~ hskp5
    | c0_1(a1640) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN481-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % 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 : n021.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 21:55:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (27386)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)
% 0.19/0.51  % (27402)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)
% 0.19/0.51  % (27398)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (27394)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (27400)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)
% 0.19/0.52  % (27399)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (27406)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)
% 0.19/0.53  % (27389)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)
% 0.19/0.53  % (27390)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (27394)Instruction limit reached!
% 0.19/0.53  % (27394)------------------------------
% 0.19/0.53  % (27394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53  Detected maximum model sizes of [31]
% 1.36/0.53  % (27394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53  % (27394)Termination reason: Unknown
% 1.36/0.53  % (27394)Termination phase: Blocked clause elimination
% 1.36/0.53  
% 1.36/0.53  % (27394)Memory used [KB]: 1151
% 1.36/0.53  % (27394)Time elapsed: 0.004 s
% 1.36/0.53  % (27394)Instructions burned: 3 (million)
% 1.36/0.53  % (27394)------------------------------
% 1.36/0.53  % (27394)------------------------------
% 1.36/0.53  TRYING [1]
% 1.36/0.53  TRYING [2]
% 1.36/0.53  TRYING [3]
% 1.36/0.53  % (27387)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)
% 1.36/0.53  % (27391)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)
% 1.36/0.53  % (27405)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)
% 1.36/0.54  % (27393)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.54  % (27392)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)
% 1.36/0.54  TRYING [4]
% 1.36/0.54  % (27412)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.36/0.54  % (27397)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)
% 1.36/0.54  % (27411)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.55  % (27415)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.55  % (27416)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)
% 1.50/0.55  % (27403)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.50/0.55  % (27413)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)
% 1.50/0.55  % (27407)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.55  % (27409)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)
% 1.50/0.55  % (27401)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)
% 1.50/0.55  % (27388)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)
% 1.50/0.56  % (27408)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)
% 1.50/0.56  Detected maximum model sizes of [31]
% 1.50/0.56  TRYING [1]
% 1.50/0.56  TRYING [2]
% 1.50/0.56  TRYING [3]
% 1.50/0.56  % (27393)Instruction limit reached!
% 1.50/0.56  % (27393)------------------------------
% 1.50/0.56  % (27393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (27414)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)
% 1.50/0.56  % (27404)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.57  % (27396)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.57  % (27395)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)
% 1.50/0.57  TRYING [4]
% 1.50/0.57  Detected maximum model sizes of [31]
% 1.50/0.58  % (27393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58  % (27393)Termination reason: Unknown
% 1.50/0.58  % (27393)Termination phase: Saturation
% 1.50/0.58  TRYING [1]
% 1.50/0.58  
% 1.50/0.58  % (27393)Memory used [KB]: 6140
% 1.50/0.58  % (27393)Time elapsed: 0.130 s
% 1.50/0.58  % (27393)Instructions burned: 8 (million)
% 1.50/0.58  % (27393)------------------------------
% 1.50/0.58  % (27393)------------------------------
% 1.50/0.58  TRYING [2]
% 1.50/0.58  TRYING [3]
% 1.50/0.58  TRYING [5]
% 1.50/0.58  % (27389)First to succeed.
% 1.50/0.58  % (27387)Refutation not found, incomplete strategy% (27387)------------------------------
% 1.50/0.58  % (27387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59  TRYING [4]
% 1.50/0.60  % (27387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.60  % (27387)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.60  
% 1.50/0.60  % (27387)Memory used [KB]: 6396
% 1.50/0.60  % (27387)Time elapsed: 0.175 s
% 1.50/0.60  % (27387)Instructions burned: 29 (million)
% 1.50/0.60  % (27387)------------------------------
% 1.50/0.60  % (27387)------------------------------
% 1.50/0.61  % (27389)Refutation found. Thanks to Tanya!
% 1.50/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.61  % (27389)------------------------------
% 1.50/0.61  % (27389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61  % (27389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61  % (27389)Termination reason: Refutation
% 1.50/0.61  
% 1.50/0.61  % (27389)Memory used [KB]: 6652
% 1.50/0.61  % (27389)Time elapsed: 0.181 s
% 1.50/0.61  % (27389)Instructions burned: 32 (million)
% 1.50/0.61  % (27389)------------------------------
% 1.50/0.61  % (27389)------------------------------
% 1.50/0.61  % (27382)Success in time 0.254 s
%------------------------------------------------------------------------------