TSTP Solution File: SYN499-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN499-1 : 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 : n024.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 19:38:32 EDT 2022

% Result   : Unsatisfiable 1.82s 0.61s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  212
% Syntax   : Number of formulae    :  487 (   1 unt;   0 def)
%            Number of atoms       : 1629 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1945 ( 803   ~;1026   |;   0   &)
%                                         ( 116 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  142 ( 141 usr; 138 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :  137 ( 137   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2128,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f251,f260,f284,f299,f310,f324,f331,f342,f351,f356,f360,f365,f415,f437,f451,f457,f462,f470,f493,f494,f503,f504,f509,f518,f523,f528,f533,f537,f552,f562,f566,f585,f586,f591,f596,f601,f606,f612,f613,f618,f635,f636,f655,f660,f662,f666,f667,f675,f685,f689,f694,f699,f700,f705,f710,f716,f721,f728,f735,f741,f745,f750,f756,f768,f773,f774,f809,f814,f819,f824,f826,f837,f859,f865,f870,f887,f889,f890,f895,f900,f902,f904,f911,f916,f928,f933,f935,f942,f943,f948,f953,f964,f971,f972,f979,f1016,f1028,f1031,f1041,f1044,f1058,f1059,f1063,f1069,f1075,f1081,f1082,f1093,f1094,f1096,f1104,f1111,f1114,f1143,f1144,f1146,f1161,f1179,f1181,f1198,f1230,f1232,f1258,f1268,f1273,f1280,f1291,f1336,f1341,f1357,f1358,f1405,f1447,f1465,f1490,f1504,f1548,f1566,f1569,f1616,f1705,f1721,f1767,f1788,f1864,f1870,f1872,f1949,f1974,f1992,f2019,f2070,f2127]) ).

fof(f2127,plain,
    ( spl0_146
    | spl0_102
    | ~ spl0_67
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f2123,f1861,f496,f682,f939]) ).

fof(f939,plain,
    ( spl0_146
  <=> c0_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f682,plain,
    ( spl0_102
  <=> c3_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f496,plain,
    ( spl0_67
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1861,plain,
    ( spl0_184
  <=> c1_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f2123,plain,
    ( c3_1(a182)
    | c0_1(a182)
    | ~ spl0_67
    | ~ spl0_184 ),
    inference(resolution,[],[f497,f1863]) ).

fof(f1863,plain,
    ( c1_1(a182)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1861]) ).

fof(f497,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f2070,plain,
    ( ~ spl0_147
    | ~ spl0_88
    | ~ spl0_113
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2065,f1108,f743,f603,f945]) ).

fof(f945,plain,
    ( spl0_147
  <=> c0_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f603,plain,
    ( spl0_88
  <=> c3_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f743,plain,
    ( spl0_113
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1108,plain,
    ( spl0_166
  <=> c2_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2065,plain,
    ( ~ c3_1(a142)
    | ~ c0_1(a142)
    | ~ spl0_113
    | ~ spl0_166 ),
    inference(resolution,[],[f744,f1110]) ).

fof(f1110,plain,
    ( c2_1(a142)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f744,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f2019,plain,
    ( spl0_72
    | ~ spl0_111
    | ~ spl0_103
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2005,f968,f687,f732,f520]) ).

fof(f520,plain,
    ( spl0_72
  <=> c0_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f732,plain,
    ( spl0_111
  <=> c3_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f687,plain,
    ( spl0_103
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f968,plain,
    ( spl0_151
  <=> c2_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2005,plain,
    ( ~ c3_1(a153)
    | c0_1(a153)
    | ~ spl0_103
    | ~ spl0_151 ),
    inference(resolution,[],[f688,f970]) ).

fof(f970,plain,
    ( c2_1(a153)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f688,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f1992,plain,
    ( spl0_67
    | ~ spl0_86
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1990,f678,f594,f496]) ).

fof(f594,plain,
    ( spl0_86
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f678,plain,
    ( spl0_101
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1990,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_86
    | ~ spl0_101 ),
    inference(duplicate_literal_removal,[],[f1975]) ).

fof(f1975,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_86
    | ~ spl0_101 ),
    inference(resolution,[],[f679,f595]) ).

fof(f595,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f679,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f1974,plain,
    ( spl0_109
    | spl0_165
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1967,f664,f344,f1101,f718]) ).

fof(f718,plain,
    ( spl0_109
  <=> c3_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1101,plain,
    ( spl0_165
  <=> c2_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f344,plain,
    ( spl0_35
  <=> c0_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f664,plain,
    ( spl0_99
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1967,plain,
    ( c2_1(a128)
    | c3_1(a128)
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(resolution,[],[f665,f346]) ).

fof(f346,plain,
    ( c0_1(a128)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f665,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f1949,plain,
    ( spl0_109
    | ~ spl0_85
    | ~ spl0_86
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1941,f1101,f594,f588,f718]) ).

fof(f588,plain,
    ( spl0_85
  <=> c1_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1941,plain,
    ( ~ c1_1(a128)
    | c3_1(a128)
    | ~ spl0_86
    | ~ spl0_165 ),
    inference(resolution,[],[f595,f1103]) ).

fof(f1103,plain,
    ( c2_1(a128)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1872,plain,
    ( spl0_112
    | spl0_107
    | ~ spl0_19
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1871,f1038,f282,f707,f738]) ).

fof(f738,plain,
    ( spl0_112
  <=> c1_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f707,plain,
    ( spl0_107
  <=> c2_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f282,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1038,plain,
    ( spl0_160
  <=> c0_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1871,plain,
    ( c2_1(a160)
    | c1_1(a160)
    | ~ spl0_19
    | ~ spl0_160 ),
    inference(resolution,[],[f1039,f283]) ).

fof(f283,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f1039,plain,
    ( c0_1(a160)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f1870,plain,
    ( spl0_160
    | spl0_112
    | ~ spl0_50
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1850,f707,f413,f738,f1038]) ).

fof(f413,plain,
    ( spl0_50
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1850,plain,
    ( c1_1(a160)
    | c0_1(a160)
    | ~ spl0_50
    | spl0_107 ),
    inference(resolution,[],[f414,f709]) ).

fof(f709,plain,
    ( ~ c2_1(a160)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f414,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1864,plain,
    ( spl0_184
    | spl0_146
    | ~ spl0_50
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1856,f696,f413,f939,f1861]) ).

fof(f696,plain,
    ( spl0_105
  <=> c2_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1856,plain,
    ( c0_1(a182)
    | c1_1(a182)
    | ~ spl0_50
    | spl0_105 ),
    inference(resolution,[],[f414,f698]) ).

fof(f698,plain,
    ( ~ c2_1(a182)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1788,plain,
    ( spl0_125
    | spl0_114
    | ~ spl0_33
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1784,f1227,f337,f747,f811]) ).

fof(f811,plain,
    ( spl0_125
  <=> c0_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f747,plain,
    ( spl0_114
  <=> c2_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f337,plain,
    ( spl0_33
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1227,plain,
    ( spl0_171
  <=> c3_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1784,plain,
    ( c2_1(a155)
    | c0_1(a155)
    | ~ spl0_33
    | ~ spl0_171 ),
    inference(resolution,[],[f1229,f338]) ).

fof(f338,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f1229,plain,
    ( c3_1(a155)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f1767,plain,
    ( spl0_167
    | spl0_66
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1756,f856,f297,f490,f1116]) ).

fof(f1116,plain,
    ( spl0_167
  <=> c0_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f490,plain,
    ( spl0_66
  <=> c1_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f297,plain,
    ( spl0_23
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f856,plain,
    ( spl0_133
  <=> c2_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1756,plain,
    ( c1_1(a143)
    | c0_1(a143)
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(resolution,[],[f298,f858]) ).

fof(f858,plain,
    ( c2_1(a143)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f298,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f1721,plain,
    ( ~ spl0_35
    | spl0_109
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1717,f588,f581,f718,f344]) ).

fof(f581,plain,
    ( spl0_84
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1717,plain,
    ( c3_1(a128)
    | ~ c0_1(a128)
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(resolution,[],[f582,f590]) ).

fof(f590,plain,
    ( c1_1(a128)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f582,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f1705,plain,
    ( ~ spl0_158
    | spl0_72
    | ~ spl0_81
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1697,f968,f564,f520,f1013]) ).

fof(f1013,plain,
    ( spl0_158
  <=> c1_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f564,plain,
    ( spl0_81
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1697,plain,
    ( c0_1(a153)
    | ~ c1_1(a153)
    | ~ spl0_81
    | ~ spl0_151 ),
    inference(resolution,[],[f565,f970]) ).

fof(f565,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1616,plain,
    ( ~ spl0_147
    | spl0_141
    | ~ spl0_22
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1605,f1108,f294,f908,f945]) ).

fof(f908,plain,
    ( spl0_141
  <=> c1_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f294,plain,
    ( spl0_22
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1605,plain,
    ( c1_1(a142)
    | ~ c0_1(a142)
    | ~ spl0_22
    | ~ spl0_166 ),
    inference(resolution,[],[f295,f1110]) ).

fof(f295,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f1569,plain,
    ( ~ spl0_167
    | spl0_66
    | ~ spl0_69
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1562,f535,f506,f490,f1116]) ).

fof(f506,plain,
    ( spl0_69
  <=> c3_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f535,plain,
    ( spl0_75
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1562,plain,
    ( c1_1(a143)
    | ~ c0_1(a143)
    | ~ spl0_69
    | ~ spl0_75 ),
    inference(resolution,[],[f536,f508]) ).

fof(f508,plain,
    ( c3_1(a143)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f536,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f1566,plain,
    ( spl0_141
    | ~ spl0_147
    | ~ spl0_75
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1563,f603,f535,f945,f908]) ).

fof(f1563,plain,
    ( ~ c0_1(a142)
    | c1_1(a142)
    | ~ spl0_75
    | ~ spl0_88 ),
    inference(resolution,[],[f536,f605]) ).

fof(f605,plain,
    ( c3_1(a142)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f1548,plain,
    ( ~ spl0_106
    | spl0_68
    | ~ spl0_58
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1527,f1462,f449,f500,f702]) ).

fof(f702,plain,
    ( spl0_106
  <=> c0_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f500,plain,
    ( spl0_68
  <=> c3_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f449,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1462,plain,
    ( spl0_181
  <=> c2_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1527,plain,
    ( c3_1(a147)
    | ~ c0_1(a147)
    | ~ spl0_58
    | ~ spl0_181 ),
    inference(resolution,[],[f450,f1464]) ).

fof(f1464,plain,
    ( c2_1(a147)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f450,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f1504,plain,
    ( spl0_110
    | spl0_140
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1503,f1270,f308,f897,f725]) ).

fof(f725,plain,
    ( spl0_110
  <=> c1_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f897,plain,
    ( spl0_140
  <=> c0_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f308,plain,
    ( spl0_26
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1270,plain,
    ( spl0_172
  <=> c3_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1503,plain,
    ( c0_1(a123)
    | c1_1(a123)
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(resolution,[],[f309,f1271]) ).

fof(f1271,plain,
    ( c3_1(a123)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f309,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f1490,plain,
    ( spl0_124
    | spl0_74
    | ~ spl0_34
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1485,f1008,f340,f530,f806]) ).

fof(f806,plain,
    ( spl0_124
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f530,plain,
    ( spl0_74
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f340,plain,
    ( spl0_34
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1008,plain,
    ( spl0_157
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1485,plain,
    ( c2_1(a132)
    | c0_1(a132)
    | ~ spl0_34
    | ~ spl0_157 ),
    inference(resolution,[],[f341,f1009]) ).

fof(f1009,plain,
    ( c1_1(a132)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f341,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f1465,plain,
    ( spl0_126
    | spl0_181
    | ~ spl0_19
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1460,f702,f282,f1462,f816]) ).

fof(f816,plain,
    ( spl0_126
  <=> c1_1(a147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1460,plain,
    ( c2_1(a147)
    | c1_1(a147)
    | ~ spl0_19
    | ~ spl0_106 ),
    inference(resolution,[],[f704,f283]) ).

fof(f704,plain,
    ( c0_1(a147)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1447,plain,
    ( ~ spl0_152
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1429,f362,f274,f257,f976]) ).

fof(f976,plain,
    ( spl0_152
  <=> c1_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f257,plain,
    ( spl0_13
  <=> c3_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f274,plain,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f362,plain,
    ( spl0_39
  <=> c2_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1429,plain,
    ( ~ c3_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(resolution,[],[f275,f364]) ).

fof(f364,plain,
    ( c2_1(a133)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f275,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f1405,plain,
    ( spl0_157
    | spl0_74
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1239,f353,f329,f530,f1008]) ).

fof(f329,plain,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f353,plain,
    ( spl0_37
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1239,plain,
    ( c2_1(a132)
    | c1_1(a132)
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(resolution,[],[f330,f355]) ).

fof(f355,plain,
    ( c3_1(a132)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f330,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f1358,plain,
    ( spl0_107
    | spl0_112
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1234,f657,f329,f738,f707]) ).

fof(f657,plain,
    ( spl0_98
  <=> c3_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1234,plain,
    ( c1_1(a160)
    | c2_1(a160)
    | ~ spl0_31
    | ~ spl0_98 ),
    inference(resolution,[],[f330,f659]) ).

fof(f659,plain,
    ( c3_1(a160)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f1357,plain,
    ( ~ spl0_11
    | ~ spl0_145
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1356,f691,f395,f930,f248]) ).

fof(f248,plain,
    ( spl0_11
  <=> c0_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f930,plain,
    ( spl0_145
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f395,plain,
    ( spl0_46
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f691,plain,
    ( spl0_104
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1356,plain,
    ( ~ c1_1(a136)
    | ~ c0_1(a136)
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(resolution,[],[f693,f396]) ).

fof(f396,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f693,plain,
    ( c2_1(a136)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f1341,plain,
    ( spl0_60
    | spl0_90
    | ~ spl0_61
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1339,f598,f464,f615,f459]) ).

fof(f459,plain,
    ( spl0_60
  <=> c3_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f615,plain,
    ( spl0_90
  <=> c0_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f464,plain,
    ( spl0_61
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f598,plain,
    ( spl0_87
  <=> c2_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1339,plain,
    ( c0_1(a134)
    | c3_1(a134)
    | ~ spl0_61
    | ~ spl0_87 ),
    inference(resolution,[],[f600,f465]) ).

fof(f465,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f600,plain,
    ( c2_1(a134)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f1336,plain,
    ( spl0_59
    | ~ spl0_159
    | ~ spl0_20
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1331,f525,f286,f1018,f454]) ).

fof(f454,plain,
    ( spl0_59
  <=> c2_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1018,plain,
    ( spl0_159
  <=> c0_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f286,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f525,plain,
    ( spl0_73
  <=> c3_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1331,plain,
    ( ~ c0_1(a164)
    | c2_1(a164)
    | ~ spl0_20
    | ~ spl0_73 ),
    inference(resolution,[],[f287,f527]) ).

fof(f527,plain,
    ( c3_1(a164)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f287,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1291,plain,
    ( spl0_172
    | spl0_140
    | ~ spl0_61
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1290,f961,f464,f897,f1270]) ).

fof(f961,plain,
    ( spl0_150
  <=> c2_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1290,plain,
    ( c0_1(a123)
    | c3_1(a123)
    | ~ spl0_61
    | ~ spl0_150 ),
    inference(resolution,[],[f465,f963]) ).

fof(f963,plain,
    ( c2_1(a123)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f1280,plain,
    ( spl0_172
    | spl0_110
    | ~ spl0_52
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1279,f961,f421,f725,f1270]) ).

fof(f421,plain,
    ( spl0_52
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1279,plain,
    ( c1_1(a123)
    | c3_1(a123)
    | ~ spl0_52
    | ~ spl0_150 ),
    inference(resolution,[],[f422,f963]) ).

fof(f422,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1273,plain,
    ( spl0_110
    | ~ spl0_172
    | ~ spl0_30
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1267,f961,f326,f1270,f725]) ).

fof(f326,plain,
    ( spl0_30
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1267,plain,
    ( ~ c3_1(a123)
    | c1_1(a123)
    | ~ spl0_30
    | ~ spl0_150 ),
    inference(resolution,[],[f963,f327]) ).

fof(f327,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f1268,plain,
    ( spl0_140
    | spl0_110
    | ~ spl0_23
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1265,f961,f297,f725,f897]) ).

fof(f1265,plain,
    ( c1_1(a123)
    | c0_1(a123)
    | ~ spl0_23
    | ~ spl0_150 ),
    inference(resolution,[],[f963,f298]) ).

fof(f1258,plain,
    ( spl0_135
    | spl0_139
    | ~ spl0_50
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1254,f821,f413,f892,f867]) ).

fof(f867,plain,
    ( spl0_135
  <=> c1_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f892,plain,
    ( spl0_139
  <=> c0_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f821,plain,
    ( spl0_127
  <=> c2_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1254,plain,
    ( c0_1(a131)
    | c1_1(a131)
    | ~ spl0_50
    | spl0_127 ),
    inference(resolution,[],[f414,f823]) ).

fof(f823,plain,
    ( ~ c2_1(a131)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f1232,plain,
    ( spl0_118
    | spl0_134
    | ~ spl0_49
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1219,f559,f410,f862,f770]) ).

fof(f770,plain,
    ( spl0_118
  <=> c2_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f862,plain,
    ( spl0_134
  <=> c3_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f410,plain,
    ( spl0_49
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f559,plain,
    ( spl0_80
  <=> c1_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1219,plain,
    ( c3_1(a127)
    | c2_1(a127)
    | ~ spl0_49
    | ~ spl0_80 ),
    inference(resolution,[],[f411,f561]) ).

fof(f561,plain,
    ( c1_1(a127)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f411,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1230,plain,
    ( spl0_114
    | spl0_171
    | ~ spl0_49
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1210,f434,f410,f1227,f747]) ).

fof(f434,plain,
    ( spl0_55
  <=> c1_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1210,plain,
    ( c3_1(a155)
    | c2_1(a155)
    | ~ spl0_49
    | ~ spl0_55 ),
    inference(resolution,[],[f411,f436]) ).

fof(f436,plain,
    ( c1_1(a155)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f1198,plain,
    ( spl0_77
    | spl0_142
    | ~ spl0_26
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1192,f950,f308,f913,f545]) ).

fof(f545,plain,
    ( spl0_77
  <=> c1_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f913,plain,
    ( spl0_142
  <=> c0_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f950,plain,
    ( spl0_148
  <=> c3_1(a189) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1192,plain,
    ( c0_1(a189)
    | c1_1(a189)
    | ~ spl0_26
    | ~ spl0_148 ),
    inference(resolution,[],[f952,f309]) ).

fof(f952,plain,
    ( c3_1(a189)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f1181,plain,
    ( ~ spl0_29
    | spl0_59
    | ~ spl0_38
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1173,f525,f358,f454,f321]) ).

fof(f321,plain,
    ( spl0_29
  <=> c1_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f358,plain,
    ( spl0_38
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1173,plain,
    ( c2_1(a164)
    | ~ c1_1(a164)
    | ~ spl0_38
    | ~ spl0_73 ),
    inference(resolution,[],[f359,f527]) ).

fof(f359,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f1179,plain,
    ( spl0_74
    | ~ spl0_157
    | ~ spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1178,f358,f353,f1008,f530]) ).

fof(f1178,plain,
    ( ~ c1_1(a132)
    | c2_1(a132)
    | ~ spl0_37
    | ~ spl0_38 ),
    inference(resolution,[],[f359,f355]) ).

fof(f1161,plain,
    ( spl0_66
    | spl0_167
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1158,f506,f308,f1116,f490]) ).

fof(f1158,plain,
    ( c0_1(a143)
    | c1_1(a143)
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(resolution,[],[f309,f508]) ).

fof(f1146,plain,
    ( spl0_97
    | spl0_70
    | ~ spl0_19
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1145,f765,f282,f511,f652]) ).

fof(f652,plain,
    ( spl0_97
  <=> c1_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f511,plain,
    ( spl0_70
  <=> c2_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f765,plain,
    ( spl0_117
  <=> c0_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1145,plain,
    ( c2_1(a176)
    | c1_1(a176)
    | ~ spl0_19
    | ~ spl0_117 ),
    inference(resolution,[],[f767,f283]) ).

fof(f767,plain,
    ( c0_1(a176)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f1144,plain,
    ( spl0_59
    | ~ spl0_159
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1050,f321,f301,f1018,f454]) ).

fof(f301,plain,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1050,plain,
    ( ~ c0_1(a164)
    | c2_1(a164)
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(resolution,[],[f302,f323]) ).

fof(f323,plain,
    ( c1_1(a164)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f302,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f1143,plain,
    ( spl0_166
    | spl0_141
    | ~ spl0_19
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1137,f945,f282,f908,f1108]) ).

fof(f1137,plain,
    ( c1_1(a142)
    | c2_1(a142)
    | ~ spl0_19
    | ~ spl0_147 ),
    inference(resolution,[],[f283,f947]) ).

fof(f947,plain,
    ( c0_1(a142)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f1114,plain,
    ( spl0_66
    | ~ spl0_69
    | ~ spl0_30
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1112,f856,f326,f506,f490]) ).

fof(f1112,plain,
    ( ~ c3_1(a143)
    | c1_1(a143)
    | ~ spl0_30
    | ~ spl0_133 ),
    inference(resolution,[],[f858,f327]) ).

fof(f1111,plain,
    ( spl0_166
    | ~ spl0_147
    | ~ spl0_20
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1105,f603,f286,f945,f1108]) ).

fof(f1105,plain,
    ( ~ c0_1(a142)
    | c2_1(a142)
    | ~ spl0_20
    | ~ spl0_88 ),
    inference(resolution,[],[f605,f287]) ).

fof(f1104,plain,
    ( spl0_165
    | ~ spl0_35
    | ~ spl0_24
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1099,f588,f301,f344,f1101]) ).

fof(f1099,plain,
    ( ~ c0_1(a128)
    | c2_1(a128)
    | ~ spl0_24
    | ~ spl0_85 ),
    inference(resolution,[],[f590,f302]) ).

fof(f1096,plain,
    ( spl0_114
    | spl0_125
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1085,f434,f340,f811,f747]) ).

fof(f1085,plain,
    ( c0_1(a155)
    | c2_1(a155)
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(resolution,[],[f341,f436]) ).

fof(f1094,plain,
    ( spl0_118
    | spl0_162
    | ~ spl0_34
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1087,f559,f340,f1066,f770]) ).

fof(f1066,plain,
    ( spl0_162
  <=> c0_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1087,plain,
    ( c0_1(a127)
    | c2_1(a127)
    | ~ spl0_34
    | ~ spl0_80 ),
    inference(resolution,[],[f341,f561]) ).

fof(f1093,plain,
    ( spl0_159
    | spl0_59
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1084,f340,f321,f454,f1018]) ).

fof(f1084,plain,
    ( c2_1(a164)
    | c0_1(a164)
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(resolution,[],[f341,f323]) ).

fof(f1082,plain,
    ( spl0_124
    | spl0_74
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1074,f353,f337,f530,f806]) ).

fof(f1074,plain,
    ( c2_1(a132)
    | c0_1(a132)
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(resolution,[],[f338,f355]) ).

fof(f1081,plain,
    ( spl0_159
    | spl0_59
    | ~ spl0_33
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1071,f525,f337,f454,f1018]) ).

fof(f1071,plain,
    ( c2_1(a164)
    | c0_1(a164)
    | ~ spl0_33
    | ~ spl0_73 ),
    inference(resolution,[],[f338,f527]) ).

fof(f1075,plain,
    ( spl0_160
    | spl0_107
    | ~ spl0_33
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1072,f657,f337,f707,f1038]) ).

fof(f1072,plain,
    ( c2_1(a160)
    | c0_1(a160)
    | ~ spl0_33
    | ~ spl0_98 ),
    inference(resolution,[],[f338,f659]) ).

fof(f1069,plain,
    ( ~ spl0_162
    | spl0_118
    | ~ spl0_24
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1064,f559,f301,f770,f1066]) ).

fof(f1064,plain,
    ( c2_1(a127)
    | ~ c0_1(a127)
    | ~ spl0_24
    | ~ spl0_80 ),
    inference(resolution,[],[f561,f302]) ).

fof(f1063,plain,
    ( ~ spl0_111
    | spl0_158
    | ~ spl0_30
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1062,f968,f326,f1013,f732]) ).

fof(f1062,plain,
    ( c1_1(a153)
    | ~ c3_1(a153)
    | ~ spl0_30
    | ~ spl0_151 ),
    inference(resolution,[],[f327,f970]) ).

fof(f1059,plain,
    ( spl0_124
    | spl0_157
    | ~ spl0_26
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1057,f353,f308,f1008,f806]) ).

fof(f1057,plain,
    ( c1_1(a132)
    | c0_1(a132)
    | ~ spl0_26
    | ~ spl0_37 ),
    inference(resolution,[],[f309,f355]) ).

fof(f1058,plain,
    ( spl0_72
    | spl0_158
    | ~ spl0_26
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1056,f732,f308,f1013,f520]) ).

fof(f1056,plain,
    ( c1_1(a153)
    | c0_1(a153)
    | ~ spl0_26
    | ~ spl0_111 ),
    inference(resolution,[],[f309,f734]) ).

fof(f734,plain,
    ( c3_1(a153)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f1044,plain,
    ( spl0_158
    | spl0_72
    | ~ spl0_23
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1043,f968,f297,f520,f1013]) ).

fof(f1043,plain,
    ( c0_1(a153)
    | c1_1(a153)
    | ~ spl0_23
    | ~ spl0_151 ),
    inference(resolution,[],[f298,f970]) ).

fof(f1041,plain,
    ( spl0_107
    | ~ spl0_160
    | ~ spl0_20
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1033,f657,f286,f1038,f707]) ).

fof(f1033,plain,
    ( ~ c0_1(a160)
    | c2_1(a160)
    | ~ spl0_20
    | ~ spl0_98 ),
    inference(resolution,[],[f287,f659]) ).

fof(f1031,plain,
    ( ~ spl0_111
    | ~ spl0_158
    | ~ spl0_17
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1030,f968,f274,f1013,f732]) ).

fof(f1030,plain,
    ( ~ c1_1(a153)
    | ~ c3_1(a153)
    | ~ spl0_17
    | ~ spl0_151 ),
    inference(resolution,[],[f275,f970]) ).

fof(f1028,plain,
    ( ~ spl0_159
    | ~ spl0_29
    | ~ spl0_16
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1023,f525,f270,f321,f1018]) ).

fof(f270,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1023,plain,
    ( ~ c1_1(a164)
    | ~ c0_1(a164)
    | ~ spl0_16
    | ~ spl0_73 ),
    inference(resolution,[],[f271,f527]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f1016,plain,
    ( ~ spl0_158
    | spl0_72
    | ~ spl0_7
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1005,f732,f232,f520,f1013]) ).

fof(f232,plain,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1005,plain,
    ( c0_1(a153)
    | ~ c1_1(a153)
    | ~ spl0_7
    | ~ spl0_111 ),
    inference(resolution,[],[f233,f734]) ).

fof(f233,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f979,plain,
    ( ~ spl0_12
    | spl0_152 ),
    inference(avatar_split_clause,[],[f44,f976,f253]) ).

fof(f253,plain,
    ( spl0_12
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f44,axiom,
    ( c1_1(a133)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f972,plain,
    ( spl0_32
    | spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f36,f277,f262,f333]) ).

fof(f333,plain,
    ( spl0_32
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f262,plain,
    ( spl0_14
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f277,plain,
    ( spl0_18
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f36,axiom,
    ( hskp13
    | hskp19
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f971,plain,
    ( spl0_151
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f64,f223,f968]) ).

fof(f223,plain,
    ( spl0_5
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f64,axiom,
    ( ~ hskp15
    | c2_1(a153) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f964,plain,
    ( spl0_150
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f83,f239,f961]) ).

fof(f239,plain,
    ( spl0_9
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f83,axiom,
    ( ~ hskp0
    | c2_1(a123) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f953,plain,
    ( spl0_148
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f52,f549,f950]) ).

fof(f549,plain,
    ( spl0_78
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f52,axiom,
    ( ~ hskp25
    | c3_1(a189) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f948,plain,
    ( ~ spl0_32
    | spl0_147 ),
    inference(avatar_split_clause,[],[f69,f945,f333]) ).

fof(f69,axiom,
    ( c0_1(a142)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f943,plain,
    ( spl0_49
    | spl0_31
    | ~ spl0_8
    | spl0_20 ),
    inference(avatar_split_clause,[],[f197,f286,f235,f329,f410]) ).

fof(f235,plain,
    ( spl0_8
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

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

fof(f942,plain,
    ( ~ spl0_93
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f87,f939,f632]) ).

fof(f632,plain,
    ( spl0_93
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f87,axiom,
    ( ~ c0_1(a182)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f935,plain,
    ( ~ spl0_8
    | spl0_18
    | spl0_6
    | spl0_38 ),
    inference(avatar_split_clause,[],[f156,f358,f228,f277,f235]) ).

fof(f228,plain,
    ( spl0_6
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp17
      | ~ c3_1(X0)
      | hskp13
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f933,plain,
    ( spl0_145
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f42,f244,f930]) ).

fof(f244,plain,
    ( spl0_10
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f42,axiom,
    ( ~ hskp29
    | c1_1(a136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f928,plain,
    ( spl0_33
    | spl0_20
    | ~ spl0_8
    | spl0_34 ),
    inference(avatar_split_clause,[],[f194,f340,f235,f286,f337]) ).

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

fof(f916,plain,
    ( ~ spl0_142
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f85,f549,f913]) ).

fof(f85,axiom,
    ( ~ hskp25
    | ~ c0_1(a189) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f911,plain,
    ( ~ spl0_141
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f107,f333,f908]) ).

fof(f107,axiom,
    ( ~ hskp12
    | ~ c1_1(a142) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f904,plain,
    ( spl0_79
    | spl0_20
    | spl0_78
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f155,f235,f549,f286,f554]) ).

fof(f554,plain,
    ( spl0_79
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f902,plain,
    ( spl0_75
    | ~ spl0_8
    | spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f148,f219,f223,f235,f535]) ).

fof(f219,plain,
    ( spl0_4
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f148,axiom,
    ! [X0] :
      ( hskp3
      | hskp15
      | ~ ndr1_0
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f900,plain,
    ( ~ spl0_140
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f129,f239,f897]) ).

fof(f129,axiom,
    ( ~ hskp0
    | ~ c0_1(a123) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f895,plain,
    ( ~ spl0_139
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f118,f554,f892]) ).

fof(f118,axiom,
    ( ~ hskp6
    | ~ c0_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f890,plain,
    ( ~ spl0_8
    | spl0_25
    | spl0_9
    | spl0_75 ),
    inference(avatar_split_clause,[],[f149,f535,f239,f304,f235]) ).

fof(f304,plain,
    ( spl0_25
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp0
      | hskp7
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f889,plain,
    ( ~ spl0_95
    | spl0_8 ),
    inference(avatar_split_clause,[],[f10,f235,f642]) ).

fof(f642,plain,
    ( spl0_95
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f10,axiom,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f887,plain,
    ( spl0_54
    | ~ spl0_8
    | spl0_113
    | spl0_101 ),
    inference(avatar_split_clause,[],[f181,f678,f743,f235,f429]) ).

fof(f429,plain,
    ( spl0_54
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | hskp8
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f870,plain,
    ( ~ spl0_79
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f119,f867,f554]) ).

fof(f119,axiom,
    ( ~ c1_1(a131)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f865,plain,
    ( ~ spl0_134
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f126,f219,f862]) ).

fof(f126,axiom,
    ( ~ hskp3
    | ~ c3_1(a127) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f859,plain,
    ( ~ spl0_18
    | spl0_133 ),
    inference(avatar_split_clause,[],[f67,f856,f277]) ).

fof(f67,axiom,
    ( c2_1(a143)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f837,plain,
    ( ~ spl0_8
    | spl0_10
    | spl0_49
    | spl0_33 ),
    inference(avatar_split_clause,[],[f176,f337,f410,f244,f235]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | c2_1(X0)
      | hskp29
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f826,plain,
    ( spl0_33
    | spl0_34
    | spl0_50
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f190,f235,f413,f340,f337]) ).

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

fof(f824,plain,
    ( ~ spl0_127
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f120,f554,f821]) ).

fof(f120,axiom,
    ( ~ hskp6
    | ~ c2_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f819,plain,
    ( ~ spl0_62
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f104,f816,f467]) ).

fof(f467,plain,
    ( spl0_62
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f104,axiom,
    ( ~ c1_1(a147)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f814,plain,
    ( ~ spl0_125
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f100,f228,f811]) ).

fof(f100,axiom,
    ( ~ hskp17
    | ~ c0_1(a155) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f809,plain,
    ( ~ spl0_25
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f116,f806,f304]) ).

fof(f116,axiom,
    ( ~ c0_1(a132)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f774,plain,
    ( spl0_23
    | ~ spl0_8
    | spl0_36
    | spl0_34 ),
    inference(avatar_split_clause,[],[f172,f340,f348,f235,f297]) ).

fof(f348,plain,
    ( spl0_36
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c0_1(X0)
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f773,plain,
    ( ~ spl0_118
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f125,f219,f770]) ).

fof(f125,axiom,
    ( ~ hskp3
    | ~ c2_1(a127) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f768,plain,
    ( spl0_117
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f54,f515,f765]) ).

fof(f515,plain,
    ( spl0_71
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f54,axiom,
    ( ~ hskp22
    | c0_1(a176) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f756,plain,
    ( spl0_44
    | spl0_9
    | ~ spl0_8
    | spl0_103 ),
    inference(avatar_split_clause,[],[f146,f687,f235,f239,f385]) ).

fof(f385,plain,
    ( spl0_44
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | hskp0
      | ~ c3_1(X0)
      | c0_1(X0)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f750,plain,
    ( ~ spl0_114
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f101,f228,f747]) ).

fof(f101,axiom,
    ( ~ hskp17
    | ~ c2_1(a155) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f745,plain,
    ( ~ spl0_8
    | spl0_67
    | spl0_86
    | spl0_113 ),
    inference(avatar_split_clause,[],[f201,f743,f594,f496,f235]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f741,plain,
    ( ~ spl0_44
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f98,f738,f385]) ).

fof(f98,axiom,
    ( ~ c1_1(a160)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f735,plain,
    ( spl0_111
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f65,f223,f732]) ).

fof(f65,axiom,
    ( ~ hskp15
    | c3_1(a153) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f728,plain,
    ( ~ spl0_110
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f130,f239,f725]) ).

fof(f130,axiom,
    ( ~ hskp0
    | ~ c1_1(a123) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f721,plain,
    ( ~ spl0_36
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f124,f718,f348]) ).

fof(f124,axiom,
    ( ~ c3_1(a128)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f716,plain,
    ( spl0_86
    | ~ spl0_8
    | spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f203,f410,f274,f235,f594]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f710,plain,
    ( ~ spl0_44
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f99,f707,f385]) ).

fof(f99,axiom,
    ( ~ c2_1(a160)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f705,plain,
    ( ~ spl0_62
    | spl0_106 ),
    inference(avatar_split_clause,[],[f66,f702,f467]) ).

fof(f66,axiom,
    ( c0_1(a147)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f700,plain,
    ( ~ spl0_8
    | spl0_52
    | spl0_81
    | spl0_86 ),
    inference(avatar_split_clause,[],[f199,f594,f564,f421,f235]) ).

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

fof(f699,plain,
    ( ~ spl0_105
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f88,f632,f696]) ).

fof(f88,axiom,
    ( ~ hskp24
    | ~ c2_1(a182) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f694,plain,
    ( ~ spl0_10
    | spl0_104 ),
    inference(avatar_split_clause,[],[f43,f691,f244]) ).

fof(f43,axiom,
    ( c2_1(a136)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f689,plain,
    ( spl0_16
    | spl0_19
    | ~ spl0_8
    | spl0_103 ),
    inference(avatar_split_clause,[],[f202,f687,f235,f282,f270]) ).

fof(f202,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f685,plain,
    ( ~ spl0_102
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f89,f632,f682]) ).

fof(f89,axiom,
    ( ~ hskp24
    | ~ c3_1(a182) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f675,plain,
    ( spl0_51
    | spl0_95
    | spl0_79 ),
    inference(avatar_split_clause,[],[f34,f554,f642,f417]) ).

fof(f417,plain,
    ( spl0_51
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f34,axiom,
    ( hskp6
    | hskp21
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f667,plain,
    ( ~ spl0_79
    | spl0_8 ),
    inference(avatar_split_clause,[],[f25,f235,f554]) ).

fof(f25,axiom,
    ( ndr1_0
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

fof(f666,plain,
    ( spl0_50
    | ~ spl0_8
    | spl0_34
    | spl0_99 ),
    inference(avatar_split_clause,[],[f191,f664,f340,f235,f413]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f662,plain,
    ( ~ spl0_8
    | spl0_34
    | spl0_12
    | spl0_84 ),
    inference(avatar_split_clause,[],[f182,f581,f253,f340,f235]) ).

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

fof(f660,plain,
    ( spl0_98
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f60,f385,f657]) ).

fof(f60,axiom,
    ( ~ hskp18
    | c3_1(a160) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f655,plain,
    ( ~ spl0_71
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f92,f652,f515]) ).

fof(f92,axiom,
    ( ~ c1_1(a176)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f636,plain,
    ( spl0_18
    | ~ spl0_8
    | spl0_19
    | spl0_34 ),
    inference(avatar_split_clause,[],[f174,f340,f282,f235,f277]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | hskp13
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f635,plain,
    ( spl0_49
    | ~ spl0_8
    | spl0_93
    | spl0_5 ),
    inference(avatar_split_clause,[],[f142,f223,f632,f235,f410]) ).

fof(f142,axiom,
    ! [X0] :
      ( hskp15
      | hskp24
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f618,plain,
    ( ~ spl0_54
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f114,f615,f429]) ).

fof(f114,axiom,
    ( ~ c0_1(a134)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f613,plain,
    ( spl0_34
    | spl0_26
    | spl0_86
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f192,f235,f594,f308,f340]) ).

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

fof(f612,plain,
    ( spl0_26
    | spl0_75
    | spl0_79
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f179,f235,f554,f535,f308]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f606,plain,
    ( ~ spl0_32
    | spl0_88 ),
    inference(avatar_split_clause,[],[f70,f603,f333]) ).

fof(f70,axiom,
    ( c3_1(a142)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f601,plain,
    ( spl0_87
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f74,f429,f598]) ).

fof(f74,axiom,
    ( ~ hskp8
    | c2_1(a134) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f596,plain,
    ( spl0_71
    | ~ spl0_8
    | spl0_86 ),
    inference(avatar_split_clause,[],[f143,f594,f235,f515]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f591,plain,
    ( spl0_85
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f77,f348,f588]) ).

fof(f77,axiom,
    ( ~ hskp4
    | c1_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f586,plain,
    ( ~ spl0_8
    | spl0_71
    | spl0_30
    | spl0_25 ),
    inference(avatar_split_clause,[],[f150,f304,f326,f515,f235]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp7
      | ~ c2_1(X0)
      | hskp22
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f585,plain,
    ( spl0_61
    | spl0_46
    | ~ spl0_8
    | spl0_31 ),
    inference(avatar_split_clause,[],[f198,f329,f235,f395,f464]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | c3_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

fof(f566,plain,
    ( spl0_19
    | ~ spl0_8
    | spl0_81
    | spl0_33 ),
    inference(avatar_split_clause,[],[f195,f337,f564,f235,f282]) ).

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

fof(f562,plain,
    ( ~ spl0_4
    | spl0_80 ),
    inference(avatar_split_clause,[],[f78,f559,f219]) ).

fof(f78,axiom,
    ( c1_1(a127)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f552,plain,
    ( ~ spl0_77
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f86,f549,f545]) ).

fof(f86,axiom,
    ( ~ hskp25
    | ~ c1_1(a189) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f537,plain,
    ( spl0_25
    | ~ spl0_8
    | spl0_75
    | spl0_24 ),
    inference(avatar_split_clause,[],[f188,f301,f535,f235,f304]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f533,plain,
    ( ~ spl0_74
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f117,f304,f530]) ).

fof(f117,axiom,
    ( ~ hskp7
    | ~ c2_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f528,plain,
    ( ~ spl0_14
    | spl0_73 ),
    inference(avatar_split_clause,[],[f59,f525,f262]) ).

fof(f59,axiom,
    ( c3_1(a164)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f523,plain,
    ( ~ spl0_72
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f103,f223,f520]) ).

fof(f103,axiom,
    ( ~ hskp15
    | ~ c0_1(a153) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f518,plain,
    ( ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f93,f515,f511]) ).

fof(f93,axiom,
    ( ~ hskp22
    | ~ c2_1(a176) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f509,plain,
    ( ~ spl0_18
    | spl0_69 ),
    inference(avatar_split_clause,[],[f68,f506,f277]) ).

fof(f68,axiom,
    ( c3_1(a143)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f504,plain,
    ( spl0_38
    | ~ spl0_8
    | spl0_49
    | spl0_61 ),
    inference(avatar_split_clause,[],[f196,f464,f410,f235,f358]) ).

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

fof(f503,plain,
    ( ~ spl0_68
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f105,f467,f500]) ).

fof(f105,axiom,
    ( ~ hskp14
    | ~ c3_1(a147) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f494,plain,
    ( spl0_8
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f11,f417,f235]) ).

fof(f11,axiom,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f493,plain,
    ( ~ spl0_18
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f106,f490,f277]) ).

fof(f106,axiom,
    ( ~ c1_1(a143)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f470,plain,
    ( ~ spl0_8
    | spl0_61
    | spl0_62
    | spl0_33 ),
    inference(avatar_split_clause,[],[f175,f337,f467,f464,f235]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | hskp14
      | c0_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f462,plain,
    ( ~ spl0_54
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f115,f459,f429]) ).

fof(f115,axiom,
    ( ~ c3_1(a134)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f457,plain,
    ( ~ spl0_59
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f97,f262,f454]) ).

fof(f97,axiom,
    ( ~ hskp19
    | ~ c2_1(a164) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f451,plain,
    ( spl0_32
    | ~ spl0_8
    | spl0_58
    | spl0_33 ),
    inference(avatar_split_clause,[],[f183,f337,f449,f235,f333]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f437,plain,
    ( ~ spl0_6
    | spl0_55 ),
    inference(avatar_split_clause,[],[f61,f434,f228]) ).

fof(f61,axiom,
    ( c1_1(a155)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f415,plain,
    ( spl0_49
    | spl0_9
    | spl0_50
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f169,f235,f413,f239,f410]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | hskp0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f365,plain,
    ( spl0_39
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f45,f253,f362]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c2_1(a133) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f360,plain,
    ( spl0_18
    | spl0_38
    | ~ spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f158,f223,f235,f358,f277]) ).

fof(f158,axiom,
    ! [X0] :
      ( hskp15
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | hskp13
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f356,plain,
    ( ~ spl0_25
    | spl0_37 ),
    inference(avatar_split_clause,[],[f75,f353,f304]) ).

fof(f75,axiom,
    ( c3_1(a132)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f351,plain,
    ( spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f76,f348,f344]) ).

fof(f76,axiom,
    ( ~ hskp4
    | c0_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f342,plain,
    ( spl0_32
    | ~ spl0_8
    | spl0_33
    | spl0_34 ),
    inference(avatar_split_clause,[],[f173,f340,f337,f235,f333]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp12
      | ~ c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f331,plain,
    ( ~ spl0_8
    | spl0_26
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f193,f329,f326,f308,f235]) ).

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

fof(f324,plain,
    ( spl0_29
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f58,f262,f321]) ).

fof(f58,axiom,
    ( ~ hskp19
    | c1_1(a164) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f310,plain,
    ( spl0_24
    | ~ spl0_8
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f180,f308,f304,f235,f301]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp7
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f299,plain,
    ( ~ spl0_8
    | spl0_22
    | spl0_23
    | spl0_17 ),
    inference(avatar_split_clause,[],[f200,f274,f297,f294,f235]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

fof(f284,plain,
    ( spl0_6
    | spl0_19
    | ~ spl0_8
    | spl0_14 ),
    inference(avatar_split_clause,[],[f140,f262,f235,f282,f228]) ).

fof(f140,axiom,
    ! [X0] :
      ( hskp19
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp17
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f260,plain,
    ( ~ spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f46,f257,f253]) ).

fof(f46,axiom,
    ( c3_1(a133)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f251,plain,
    ( ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f41,f248,f244]) ).

fof(f41,axiom,
    ( c0_1(a136)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f242,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f144,f239,f235,f232,f228]) ).

fof(f144,axiom,
    ! [X0] :
      ( hskp0
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp17
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN499-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:07:34 EDT 2022
% 0.13/0.36  % CPUTime    : 
% 0.20/0.51  % (11210)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (11218)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52  % (11205)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)
% 0.20/0.52  % (11215)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (11207)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  % (11226)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (11223)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)
% 0.20/0.53  % (11206)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)
% 0.20/0.53  % (11210)Instruction limit reached!
% 0.20/0.53  % (11210)------------------------------
% 0.20/0.53  % (11210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (11210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (11210)Termination reason: Unknown
% 0.20/0.53  % (11210)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (11210)Memory used [KB]: 6012
% 0.20/0.53  % (11210)Time elapsed: 0.113 s
% 0.20/0.53  % (11210)Instructions burned: 7 (million)
% 0.20/0.53  % (11210)------------------------------
% 0.20/0.53  % (11210)------------------------------
% 0.20/0.54  % (11209)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (11216)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (11225)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54  % (11204)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)
% 0.20/0.54  % (11230)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (11229)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)
% 0.20/0.55  % (11219)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)
% 0.20/0.55  % (11203)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)
% 0.20/0.55  % (11208)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)
% 0.20/0.55  % (11217)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)
% 0.20/0.55  % (11220)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (11232)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)
% 0.20/0.55  % (11227)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (11228)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (11212)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (11231)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56  % (11222)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)
% 0.20/0.56  % (11221)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  Detected maximum model sizes of [31]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  % (11211)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56  % (11214)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)
% 0.20/0.56  % (11213)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (11224)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (11211)Instruction limit reached!
% 0.20/0.56  % (11211)------------------------------
% 0.20/0.56  % (11211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (11211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (11211)Termination reason: Unknown
% 0.20/0.56  % (11211)Termination phase: Blocked clause elimination
% 0.20/0.56  
% 0.20/0.56  % (11211)Memory used [KB]: 1151
% 0.20/0.56  % (11211)Time elapsed: 0.002 s
% 0.20/0.56  % (11211)Instructions burned: 3 (million)
% 0.20/0.56  % (11211)------------------------------
% 0.20/0.56  % (11211)------------------------------
% 0.20/0.58  Detected maximum model sizes of [31]
% 0.20/0.58  TRYING [1]
% 0.20/0.58  TRYING [2]
% 0.20/0.58  TRYING [3]
% 0.20/0.58  % (11205)Instruction limit reached!
% 0.20/0.58  % (11205)------------------------------
% 0.20/0.58  % (11205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (11205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (11205)Termination reason: Unknown
% 0.20/0.58  % (11205)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (11205)Memory used [KB]: 1279
% 0.20/0.58  % (11205)Time elapsed: 0.161 s
% 0.20/0.58  % (11205)Instructions burned: 38 (million)
% 0.20/0.58  % (11205)------------------------------
% 0.20/0.58  % (11205)------------------------------
% 0.20/0.58  Detected maximum model sizes of [31]
% 0.20/0.58  TRYING [1]
% 0.20/0.58  TRYING [2]
% 0.20/0.59  TRYING [3]
% 0.20/0.59  TRYING [4]
% 0.20/0.60  % (11206)First to succeed.
% 0.20/0.60  % (11218)Instruction limit reached!
% 0.20/0.60  % (11218)------------------------------
% 0.20/0.60  % (11218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (11218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (11218)Termination reason: Unknown
% 0.20/0.60  % (11218)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (11218)Memory used [KB]: 1279
% 0.20/0.60  % (11218)Time elapsed: 0.183 s
% 0.20/0.60  % (11218)Instructions burned: 75 (million)
% 0.20/0.60  % (11218)------------------------------
% 0.20/0.60  % (11218)------------------------------
% 0.20/0.60  TRYING [4]
% 1.82/0.61  % (11206)Refutation found. Thanks to Tanya!
% 1.82/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.82/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.61  % (11206)------------------------------
% 1.82/0.61  % (11206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (11206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (11206)Termination reason: Refutation
% 1.82/0.61  
% 1.82/0.61  % (11206)Memory used [KB]: 6780
% 1.82/0.61  % (11206)Time elapsed: 0.165 s
% 1.82/0.61  % (11206)Instructions burned: 32 (million)
% 1.82/0.61  % (11206)------------------------------
% 1.82/0.61  % (11206)------------------------------
% 1.82/0.61  % (11202)Success in time 0.238 s
%------------------------------------------------------------------------------