TSTP Solution File: SYN504-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN504-1 : 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 : n006.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 19:38:35 EDT 2022

% Result   : Unsatisfiable 1.58s 0.60s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  214
% Syntax   : Number of formulae    :  482 (   1 unt;   0 def)
%            Number of atoms       : 1539 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1774 ( 717   ~; 941   |;   0   &)
%                                         ( 116 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  143 ( 142 usr; 139 prp; 0-1 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  116 ( 116   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2113,plain,
    $false,
    inference(avatar_sat_refutation,[],[f233,f251,f301,f310,f329,f356,f363,f373,f387,f402,f407,f429,f438,f442,f459,f464,f465,f471,f480,f481,f486,f496,f506,f511,f518,f535,f540,f541,f542,f547,f559,f561,f573,f578,f586,f591,f592,f603,f618,f632,f634,f644,f654,f655,f660,f665,f670,f680,f682,f697,f703,f713,f718,f723,f733,f734,f740,f750,f761,f768,f774,f775,f785,f790,f796,f797,f802,f804,f810,f821,f826,f837,f843,f848,f854,f867,f868,f873,f879,f886,f891,f901,f911,f916,f939,f944,f950,f953,f959,f964,f976,f981,f988,f993,f1003,f1014,f1021,f1027,f1048,f1066,f1072,f1090,f1134,f1165,f1181,f1186,f1195,f1210,f1211,f1267,f1277,f1317,f1354,f1372,f1378,f1393,f1399,f1519,f1521,f1525,f1544,f1546,f1547,f1556,f1599,f1616,f1637,f1673,f1674,f1676,f1682,f1696,f1751,f1752,f1754,f1802,f1803,f1822,f1905,f1941,f1960,f2001,f2003,f2005,f2010,f2015,f2062,f2109,f2110,f2112]) ).

fof(f2112,plain,
    ( spl0_114
    | ~ spl0_22
    | ~ spl0_33
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2104,f720,f348,f299,f747]) ).

fof(f747,plain,
    ( spl0_114
  <=> c0_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f299,plain,
    ( spl0_22
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f348,plain,
    ( spl0_33
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f720,plain,
    ( spl0_109
  <=> c3_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2104,plain,
    ( c0_1(a358)
    | ~ spl0_22
    | ~ spl0_33
    | spl0_109 ),
    inference(resolution,[],[f2091,f722]) ).

fof(f722,plain,
    ( ~ c3_1(a358)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2091,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f2069]) ).

fof(f2069,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_33 ),
    inference(resolution,[],[f349,f300]) ).

fof(f300,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f349,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f2110,plain,
    ( spl0_123
    | ~ spl0_22
    | ~ spl0_33
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2098,f787,f348,f299,f799]) ).

fof(f799,plain,
    ( spl0_123
  <=> c0_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f787,plain,
    ( spl0_121
  <=> c3_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2098,plain,
    ( c0_1(a399)
    | ~ spl0_22
    | ~ spl0_33
    | spl0_121 ),
    inference(resolution,[],[f2091,f789]) ).

fof(f789,plain,
    ( ~ c3_1(a399)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f2109,plain,
    ( spl0_141
    | ~ spl0_22
    | ~ spl0_33
    | spl0_186 ),
    inference(avatar_split_clause,[],[f2099,f1470,f348,f299,f908]) ).

fof(f908,plain,
    ( spl0_141
  <=> c0_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1470,plain,
    ( spl0_186
  <=> c3_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f2099,plain,
    ( c0_1(a395)
    | ~ spl0_22
    | ~ spl0_33
    | spl0_186 ),
    inference(resolution,[],[f2091,f1471]) ).

fof(f1471,plain,
    ( ~ c3_1(a395)
    | spl0_186 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f2062,plain,
    ( spl0_109
    | spl0_114
    | ~ spl0_22
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2058,f1183,f299,f747,f720]) ).

fof(f1183,plain,
    ( spl0_174
  <=> c1_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2058,plain,
    ( c0_1(a358)
    | c3_1(a358)
    | ~ spl0_22
    | ~ spl0_174 ),
    inference(resolution,[],[f300,f1185]) ).

fof(f1185,plain,
    ( c1_1(a358)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f2015,plain,
    ( spl0_153
    | spl0_168
    | spl0_75
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2014,f584,f544,f1103,f978]) ).

fof(f978,plain,
    ( spl0_153
  <=> c2_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1103,plain,
    ( spl0_168
  <=> c0_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f544,plain,
    ( spl0_75
  <=> c3_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f584,plain,
    ( spl0_84
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2014,plain,
    ( c0_1(a360)
    | c2_1(a360)
    | spl0_75
    | ~ spl0_84 ),
    inference(resolution,[],[f546,f585]) ).

fof(f585,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f546,plain,
    ( ~ c3_1(a360)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f2010,plain,
    ( spl0_59
    | spl0_74
    | ~ spl0_84
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1976,f730,f584,f537,f461]) ).

fof(f461,plain,
    ( spl0_59
  <=> c2_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f537,plain,
    ( spl0_74
  <=> c0_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f730,plain,
    ( spl0_111
  <=> c3_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1976,plain,
    ( c0_1(a366)
    | c2_1(a366)
    | ~ spl0_84
    | spl0_111 ),
    inference(resolution,[],[f585,f732]) ).

fof(f732,plain,
    ( ~ c3_1(a366)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f2005,plain,
    ( ~ spl0_117
    | spl0_175
    | ~ spl0_58
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1809,f870,f457,f1197,f765]) ).

fof(f765,plain,
    ( spl0_117
  <=> c2_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1197,plain,
    ( spl0_175
  <=> c0_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f457,plain,
    ( spl0_58
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f870,plain,
    ( spl0_135
  <=> c3_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1809,plain,
    ( c0_1(a365)
    | ~ c2_1(a365)
    | ~ spl0_58
    | ~ spl0_135 ),
    inference(resolution,[],[f458,f872]) ).

fof(f872,plain,
    ( c3_1(a365)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f458,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f2003,plain,
    ( ~ spl0_166
    | spl0_68
    | ~ spl0_37
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1680,f694,f361,f508,f1069]) ).

fof(f1069,plain,
    ( spl0_166
  <=> c0_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f508,plain,
    ( spl0_68
  <=> c3_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f361,plain,
    ( spl0_37
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f694,plain,
    ( spl0_105
  <=> c2_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1680,plain,
    ( c3_1(a379)
    | ~ c0_1(a379)
    | ~ spl0_37
    | ~ spl0_105 ),
    inference(resolution,[],[f696,f362]) ).

fof(f362,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f696,plain,
    ( c2_1(a379)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f2001,plain,
    ( spl0_141
    | ~ spl0_55
    | ~ spl0_84
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1991,f641,f584,f444,f908]) ).

fof(f444,plain,
    ( spl0_55
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f641,plain,
    ( spl0_95
  <=> c2_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1991,plain,
    ( c0_1(a395)
    | ~ spl0_55
    | ~ spl0_84
    | spl0_95 ),
    inference(resolution,[],[f1980,f643]) ).

fof(f643,plain,
    ( ~ c2_1(a395)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f1980,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_55
    | ~ spl0_84 ),
    inference(duplicate_literal_removal,[],[f1962]) ).

fof(f1962,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_55
    | ~ spl0_84 ),
    inference(resolution,[],[f585,f445]) ).

fof(f445,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1960,plain,
    ( ~ spl0_85
    | spl0_126
    | ~ spl0_67
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1949,f581,f503,f818,f588]) ).

fof(f588,plain,
    ( spl0_85
  <=> c0_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f818,plain,
    ( spl0_126
  <=> c2_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f503,plain,
    ( spl0_67
  <=> c3_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f581,plain,
    ( spl0_83
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1949,plain,
    ( c2_1(a369)
    | ~ c0_1(a369)
    | ~ spl0_67
    | ~ spl0_83 ),
    inference(resolution,[],[f582,f505]) ).

fof(f505,plain,
    ( c3_1(a369)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f582,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f1941,plain,
    ( ~ spl0_135
    | ~ spl0_175
    | ~ spl0_82
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1917,f823,f576,f1197,f870]) ).

fof(f576,plain,
    ( spl0_82
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f823,plain,
    ( spl0_127
  <=> c1_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1917,plain,
    ( ~ c0_1(a365)
    | ~ c3_1(a365)
    | ~ spl0_82
    | ~ spl0_127 ),
    inference(resolution,[],[f577,f825]) ).

fof(f825,plain,
    ( c1_1(a365)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f577,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1905,plain,
    ( spl0_109
    | spl0_114
    | ~ spl0_80
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1898,f973,f566,f747,f720]) ).

fof(f566,plain,
    ( spl0_80
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f973,plain,
    ( spl0_152
  <=> c2_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1898,plain,
    ( c0_1(a358)
    | c3_1(a358)
    | ~ spl0_80
    | ~ spl0_152 ),
    inference(resolution,[],[f567,f975]) ).

fof(f975,plain,
    ( c2_1(a358)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f567,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f1822,plain,
    ( ~ spl0_171
    | spl0_10
    | ~ spl0_58
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1816,f961,f457,f248,f1131]) ).

fof(f1131,plain,
    ( spl0_171
  <=> c2_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f248,plain,
    ( spl0_10
  <=> c0_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f961,plain,
    ( spl0_150
  <=> c3_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1816,plain,
    ( c0_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_58
    | ~ spl0_150 ),
    inference(resolution,[],[f458,f963]) ).

fof(f963,plain,
    ( c3_1(a357)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f1803,plain,
    ( spl0_10
    | spl0_171
    | ~ spl0_55
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1792,f961,f444,f1131,f248]) ).

fof(f1792,plain,
    ( c2_1(a357)
    | c0_1(a357)
    | ~ spl0_55
    | ~ spl0_150 ),
    inference(resolution,[],[f445,f963]) ).

fof(f1802,plain,
    ( spl0_141
    | spl0_95
    | ~ spl0_55
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1787,f1470,f444,f641,f908]) ).

fof(f1787,plain,
    ( c2_1(a395)
    | c0_1(a395)
    | ~ spl0_55
    | ~ spl0_186 ),
    inference(resolution,[],[f445,f1472]) ).

fof(f1472,plain,
    ( c3_1(a395)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f1754,plain,
    ( spl0_90
    | spl0_155
    | spl0_5
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1338,f440,f226,f990,f615]) ).

fof(f615,plain,
    ( spl0_90
  <=> c0_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f990,plain,
    ( spl0_155
  <=> c2_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f226,plain,
    ( spl0_5
  <=> c1_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f440,plain,
    ( spl0_54
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1338,plain,
    ( c2_1(a387)
    | c0_1(a387)
    | spl0_5
    | ~ spl0_54 ),
    inference(resolution,[],[f441,f228]) ).

fof(f228,plain,
    ( ~ c1_1(a387)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f441,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1752,plain,
    ( spl0_134
    | spl0_163
    | ~ spl0_13
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1678,f468,f260,f1038,f864]) ).

fof(f864,plain,
    ( spl0_134
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1038,plain,
    ( spl0_163
  <=> c2_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f260,plain,
    ( spl0_13
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f468,plain,
    ( spl0_60
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1678,plain,
    ( c2_1(a355)
    | c1_1(a355)
    | ~ spl0_13
    | ~ spl0_60 ),
    inference(resolution,[],[f470,f261]) ).

fof(f261,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f470,plain,
    ( c3_1(a355)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1751,plain,
    ( spl0_23
    | spl0_159
    | ~ spl0_35
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1738,f1000,f354,f1011,f303]) ).

fof(f303,plain,
    ( spl0_23
  <=> c2_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1011,plain,
    ( spl0_159
  <=> c3_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f354,plain,
    ( spl0_35
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1000,plain,
    ( spl0_157
  <=> c1_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1738,plain,
    ( c3_1(a388)
    | c2_1(a388)
    | ~ spl0_35
    | ~ spl0_157 ),
    inference(resolution,[],[f355,f1002]) ).

fof(f1002,plain,
    ( c1_1(a388)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f355,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f1696,plain,
    ( ~ spl0_27
    | ~ spl0_93
    | ~ spl0_49
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1695,f1552,f417,f629,f322]) ).

fof(f322,plain,
    ( spl0_27
  <=> c3_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f629,plain,
    ( spl0_93
  <=> c2_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f417,plain,
    ( spl0_49
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1552,plain,
    ( spl0_187
  <=> c1_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f1695,plain,
    ( ~ c2_1(a410)
    | ~ c3_1(a410)
    | ~ spl0_49
    | ~ spl0_187 ),
    inference(resolution,[],[f1554,f418]) ).

fof(f418,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f1554,plain,
    ( c1_1(a410)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1552]) ).

fof(f1682,plain,
    ( spl0_42
    | spl0_68
    | ~ spl0_77
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1679,f694,f554,f508,f384]) ).

fof(f384,plain,
    ( spl0_42
  <=> c1_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f554,plain,
    ( spl0_77
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1679,plain,
    ( c3_1(a379)
    | c1_1(a379)
    | ~ spl0_77
    | ~ spl0_105 ),
    inference(resolution,[],[f696,f555]) ).

fof(f555,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f1676,plain,
    ( spl0_187
    | ~ spl0_116
    | ~ spl0_20
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1559,f629,f292,f758,f1552]) ).

fof(f758,plain,
    ( spl0_116
  <=> c0_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f292,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1559,plain,
    ( ~ c0_1(a410)
    | c1_1(a410)
    | ~ spl0_20
    | ~ spl0_93 ),
    inference(resolution,[],[f631,f293]) ).

fof(f293,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f631,plain,
    ( c2_1(a410)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f1674,plain,
    ( ~ spl0_146
    | spl0_98
    | ~ spl0_78
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1664,f941,f557,f657,f936]) ).

fof(f936,plain,
    ( spl0_146
  <=> c2_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f657,plain,
    ( spl0_98
  <=> c3_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f557,plain,
    ( spl0_78
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f941,plain,
    ( spl0_147
  <=> c1_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1664,plain,
    ( c3_1(a363)
    | ~ c2_1(a363)
    | ~ spl0_78
    | ~ spl0_147 ),
    inference(resolution,[],[f558,f943]) ).

fof(f943,plain,
    ( c1_1(a363)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f558,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f1673,plain,
    ( ~ spl0_152
    | spl0_109
    | ~ spl0_78
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1665,f1183,f557,f720,f973]) ).

fof(f1665,plain,
    ( c3_1(a358)
    | ~ c2_1(a358)
    | ~ spl0_78
    | ~ spl0_174 ),
    inference(resolution,[],[f558,f1185]) ).

fof(f1637,plain,
    ( ~ spl0_150
    | spl0_10
    | ~ spl0_70
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1630,f570,f516,f248,f961]) ).

fof(f516,plain,
    ( spl0_70
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f570,plain,
    ( spl0_81
  <=> c1_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1630,plain,
    ( c0_1(a357)
    | ~ c3_1(a357)
    | ~ spl0_70
    | ~ spl0_81 ),
    inference(resolution,[],[f517,f572]) ).

fof(f572,plain,
    ( c1_1(a357)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f517,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1616,plain,
    ( spl0_75
    | spl0_153
    | ~ spl0_69
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1612,f845,f513,f978,f544]) ).

fof(f513,plain,
    ( spl0_69
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f845,plain,
    ( spl0_131
  <=> c1_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1612,plain,
    ( c2_1(a360)
    | c3_1(a360)
    | ~ spl0_69
    | spl0_131 ),
    inference(resolution,[],[f514,f847]) ).

fof(f847,plain,
    ( ~ c1_1(a360)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f514,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f1599,plain,
    ( spl0_131
    | spl0_75
    | ~ spl0_65
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1597,f1103,f494,f544,f845]) ).

fof(f494,plain,
    ( spl0_65
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1597,plain,
    ( c3_1(a360)
    | c1_1(a360)
    | ~ spl0_65
    | ~ spl0_168 ),
    inference(resolution,[],[f495,f1105]) ).

fof(f1105,plain,
    ( c0_1(a360)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f495,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f1556,plain,
    ( ~ spl0_116
    | ~ spl0_93
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1548,f344,f322,f629,f758]) ).

fof(f344,plain,
    ( spl0_32
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1548,plain,
    ( ~ c2_1(a410)
    | ~ c0_1(a410)
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(resolution,[],[f324,f345]) ).

fof(f345,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f324,plain,
    ( c3_1(a410)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1547,plain,
    ( spl0_75
    | spl0_168
    | ~ spl0_33
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1310,f845,f348,f1103,f544]) ).

fof(f1310,plain,
    ( c0_1(a360)
    | c3_1(a360)
    | ~ spl0_33
    | spl0_131 ),
    inference(resolution,[],[f349,f847]) ).

fof(f1546,plain,
    ( spl0_168
    | spl0_153
    | ~ spl0_54
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1339,f845,f440,f978,f1103]) ).

fof(f1339,plain,
    ( c2_1(a360)
    | c0_1(a360)
    | ~ spl0_54
    | spl0_131 ),
    inference(resolution,[],[f441,f847]) ).

fof(f1544,plain,
    ( spl0_178
    | spl0_63
    | ~ spl0_48
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1533,f888,f414,f483,f1264]) ).

fof(f1264,plain,
    ( spl0_178
  <=> c0_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f483,plain,
    ( spl0_63
  <=> c1_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f414,plain,
    ( spl0_48
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f888,plain,
    ( spl0_138
  <=> c2_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1533,plain,
    ( c1_1(a368)
    | c0_1(a368)
    | ~ spl0_48
    | ~ spl0_138 ),
    inference(resolution,[],[f415,f890]) ).

fof(f890,plain,
    ( c2_1(a368)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f415,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1525,plain,
    ( spl0_130
    | ~ spl0_108
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1510,f477,f361,f715,f840]) ).

fof(f840,plain,
    ( spl0_130
  <=> c3_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f715,plain,
    ( spl0_108
  <=> c0_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f477,plain,
    ( spl0_62
  <=> c2_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1510,plain,
    ( ~ c0_1(a370)
    | c3_1(a370)
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(resolution,[],[f362,f479]) ).

fof(f479,plain,
    ( c2_1(a370)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1521,plain,
    ( ~ spl0_164
    | spl0_98
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1513,f936,f361,f657,f1045]) ).

fof(f1045,plain,
    ( spl0_164
  <=> c0_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1513,plain,
    ( c3_1(a363)
    | ~ c0_1(a363)
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(resolution,[],[f362,f938]) ).

fof(f938,plain,
    ( c2_1(a363)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f1519,plain,
    ( ~ spl0_120
    | spl0_182
    | ~ spl0_37
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1504,f426,f361,f1390,f782]) ).

fof(f782,plain,
    ( spl0_120
  <=> c0_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1390,plain,
    ( spl0_182
  <=> c3_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f426,plain,
    ( spl0_51
  <=> c2_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1504,plain,
    ( c3_1(a372)
    | ~ c0_1(a372)
    | ~ spl0_37
    | ~ spl0_51 ),
    inference(resolution,[],[f362,f428]) ).

fof(f428,plain,
    ( c2_1(a372)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f1399,plain,
    ( spl0_42
    | spl0_105
    | ~ spl0_34
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1398,f1069,f351,f694,f384]) ).

fof(f351,plain,
    ( spl0_34
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1398,plain,
    ( c2_1(a379)
    | c1_1(a379)
    | ~ spl0_34
    | ~ spl0_166 ),
    inference(resolution,[],[f1070,f352]) ).

fof(f352,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f1070,plain,
    ( c0_1(a379)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1393,plain,
    ( ~ spl0_182
    | ~ spl0_51
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1388,f771,f417,f426,f1390]) ).

fof(f771,plain,
    ( spl0_118
  <=> c1_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1388,plain,
    ( ~ c2_1(a372)
    | ~ c3_1(a372)
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(resolution,[],[f773,f418]) ).

fof(f773,plain,
    ( c1_1(a372)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f1378,plain,
    ( spl0_63
    | ~ spl0_178
    | ~ spl0_20
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1296,f888,f292,f1264,f483]) ).

fof(f1296,plain,
    ( ~ c0_1(a368)
    | c1_1(a368)
    | ~ spl0_20
    | ~ spl0_138 ),
    inference(resolution,[],[f293,f890]) ).

fof(f1372,plain,
    ( ~ spl0_138
    | spl0_178
    | ~ spl0_58
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1362,f600,f457,f1264,f888]) ).

fof(f600,plain,
    ( spl0_87
  <=> c3_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1362,plain,
    ( c0_1(a368)
    | ~ c2_1(a368)
    | ~ spl0_58
    | ~ spl0_87 ),
    inference(resolution,[],[f458,f602]) ).

fof(f602,plain,
    ( c3_1(a368)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1354,plain,
    ( spl0_39
    | spl0_139
    | ~ spl0_55
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1342,f667,f444,f898,f370]) ).

fof(f370,plain,
    ( spl0_39
  <=> c2_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f898,plain,
    ( spl0_139
  <=> c0_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f667,plain,
    ( spl0_100
  <=> c3_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1342,plain,
    ( c0_1(a382)
    | c2_1(a382)
    | ~ spl0_55
    | ~ spl0_100 ),
    inference(resolution,[],[f445,f669]) ).

fof(f669,plain,
    ( c3_1(a382)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f1317,plain,
    ( spl0_99
    | spl0_132
    | ~ spl0_33
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1311,f913,f348,f851,f662]) ).

fof(f662,plain,
    ( spl0_99
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f851,plain,
    ( spl0_132
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f913,plain,
    ( spl0_142
  <=> c1_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1311,plain,
    ( c3_1(a359)
    | c0_1(a359)
    | ~ spl0_33
    | spl0_142 ),
    inference(resolution,[],[f349,f915]) ).

fof(f915,plain,
    ( ~ c1_1(a359)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f1277,plain,
    ( spl0_141
    | spl0_95
    | ~ spl0_4
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1276,f700,f222,f641,f908]) ).

fof(f222,plain,
    ( spl0_4
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f700,plain,
    ( spl0_106
  <=> c1_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1276,plain,
    ( c2_1(a395)
    | c0_1(a395)
    | ~ spl0_4
    | ~ spl0_106 ),
    inference(resolution,[],[f702,f223]) ).

fof(f223,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f702,plain,
    ( c1_1(a395)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f1267,plain,
    ( ~ spl0_178
    | ~ spl0_138
    | ~ spl0_32
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1262,f600,f344,f888,f1264]) ).

fof(f1262,plain,
    ( ~ c2_1(a368)
    | ~ c0_1(a368)
    | ~ spl0_32
    | ~ spl0_87 ),
    inference(resolution,[],[f602,f345]) ).

fof(f1211,plain,
    ( spl0_153
    | spl0_75
    | ~ spl0_36
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1208,f1103,f358,f544,f978]) ).

fof(f358,plain,
    ( spl0_36
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1208,plain,
    ( c3_1(a360)
    | c2_1(a360)
    | ~ spl0_36
    | ~ spl0_168 ),
    inference(resolution,[],[f1105,f359]) ).

fof(f359,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f1210,plain,
    ( spl0_153
    | spl0_131
    | ~ spl0_34
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1209,f1103,f351,f845,f978]) ).

fof(f1209,plain,
    ( c1_1(a360)
    | c2_1(a360)
    | ~ spl0_34
    | ~ spl0_168 ),
    inference(resolution,[],[f1105,f352]) ).

fof(f1195,plain,
    ( ~ spl0_135
    | ~ spl0_117
    | ~ spl0_49
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1193,f823,f417,f765,f870]) ).

fof(f1193,plain,
    ( ~ c2_1(a365)
    | ~ c3_1(a365)
    | ~ spl0_49
    | ~ spl0_127 ),
    inference(resolution,[],[f825,f418]) ).

fof(f1186,plain,
    ( spl0_174
    | spl0_114
    | ~ spl0_48
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1178,f973,f414,f747,f1183]) ).

fof(f1178,plain,
    ( c0_1(a358)
    | c1_1(a358)
    | ~ spl0_48
    | ~ spl0_152 ),
    inference(resolution,[],[f415,f975]) ).

fof(f1181,plain,
    ( spl0_42
    | spl0_166
    | ~ spl0_48
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1175,f694,f414,f1069,f384]) ).

fof(f1175,plain,
    ( c0_1(a379)
    | c1_1(a379)
    | ~ spl0_48
    | ~ spl0_105 ),
    inference(resolution,[],[f415,f696]) ).

fof(f1165,plain,
    ( spl0_166
    | spl0_68
    | ~ spl0_33
    | spl0_42 ),
    inference(avatar_split_clause,[],[f1153,f384,f348,f508,f1069]) ).

fof(f1153,plain,
    ( c3_1(a379)
    | c0_1(a379)
    | ~ spl0_33
    | spl0_42 ),
    inference(resolution,[],[f349,f386]) ).

fof(f386,plain,
    ( ~ c1_1(a379)
    | spl0_42 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f1134,plain,
    ( spl0_171
    | spl0_10
    | ~ spl0_4
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1129,f570,f222,f248,f1131]) ).

fof(f1129,plain,
    ( c0_1(a357)
    | c2_1(a357)
    | ~ spl0_4
    | ~ spl0_81 ),
    inference(resolution,[],[f572,f223]) ).

fof(f1090,plain,
    ( spl0_134
    | ~ spl0_163
    | ~ spl0_52
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1089,f468,f431,f1038,f864]) ).

fof(f431,plain,
    ( spl0_52
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1089,plain,
    ( ~ c2_1(a355)
    | c1_1(a355)
    | ~ spl0_52
    | ~ spl0_60 ),
    inference(resolution,[],[f432,f470]) ).

fof(f432,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f1072,plain,
    ( ~ spl0_166
    | spl0_42
    | ~ spl0_20
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1067,f694,f292,f384,f1069]) ).

fof(f1067,plain,
    ( c1_1(a379)
    | ~ c0_1(a379)
    | ~ spl0_20
    | ~ spl0_105 ),
    inference(resolution,[],[f696,f293]) ).

fof(f1066,plain,
    ( spl0_97
    | spl0_160
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1063,f395,f351,f1018,f651]) ).

fof(f651,plain,
    ( spl0_97
  <=> c1_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1018,plain,
    ( spl0_160
  <=> c2_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f395,plain,
    ( spl0_44
  <=> c0_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1063,plain,
    ( c2_1(a376)
    | c1_1(a376)
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(resolution,[],[f352,f397]) ).

fof(f397,plain,
    ( c0_1(a376)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f1048,plain,
    ( spl0_164
    | spl0_98
    | ~ spl0_22
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1043,f941,f299,f657,f1045]) ).

fof(f1043,plain,
    ( c3_1(a363)
    | c0_1(a363)
    | ~ spl0_22
    | ~ spl0_147 ),
    inference(resolution,[],[f300,f943]) ).

fof(f1027,plain,
    ( ~ spl0_61
    | spl0_1 ),
    inference(avatar_split_clause,[],[f20,f210,f473]) ).

fof(f473,plain,
    ( spl0_61
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f210,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f20,axiom,
    ( ndr1_0
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f1021,plain,
    ( ~ spl0_45
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f111,f1018,f399]) ).

fof(f399,plain,
    ( spl0_45
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f111,axiom,
    ( ~ c2_1(a376)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f1014,plain,
    ( ~ spl0_159
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f101,f307,f1011]) ).

fof(f307,plain,
    ( spl0_24
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f101,axiom,
    ( ~ hskp20
    | ~ c3_1(a388) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f1003,plain,
    ( ~ spl0_24
    | spl0_157 ),
    inference(avatar_split_clause,[],[f63,f1000,f307]) ).

fof(f63,axiom,
    ( c1_1(a388)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f993,plain,
    ( ~ spl0_155
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f104,f230,f990]) ).

fof(f230,plain,
    ( spl0_6
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f104,axiom,
    ( ~ hskp19
    | ~ c2_1(a387) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f988,plain,
    ( ~ spl0_1
    | spl0_65
    | spl0_9
    | spl0_22 ),
    inference(avatar_split_clause,[],[f174,f299,f244,f494,f210]) ).

fof(f244,plain,
    ( spl0_9
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c3_1(X1)
      | hskp3
      | c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f981,plain,
    ( ~ spl0_153
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f126,f273,f978]) ).

fof(f273,plain,
    ( spl0_16
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f126,axiom,
    ( ~ hskp6
    | ~ c2_1(a360) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f976,plain,
    ( ~ spl0_53
    | spl0_152 ),
    inference(avatar_split_clause,[],[f80,f973,f435]) ).

fof(f435,plain,
    ( spl0_53
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f80,axiom,
    ( c2_1(a358)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f964,plain,
    ( spl0_150
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f82,f244,f961]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c3_1(a357) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f959,plain,
    ( spl0_49
    | ~ spl0_1
    | spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f198,f361,f273,f210,f417]) ).

fof(f198,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | hskp6
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f953,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_22
    | spl0_34 ),
    inference(avatar_split_clause,[],[f173,f351,f299,f239,f210]) ).

fof(f239,plain,
    ( spl0_8
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | hskp11
      | c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f950,plain,
    ( spl0_86
    | spl0_53
    | ~ spl0_1
    | spl0_58 ),
    inference(avatar_split_clause,[],[f153,f457,f210,f435,f594]) ).

fof(f594,plain,
    ( spl0_86
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | hskp4
      | c0_1(X0)
      | ~ c3_1(X0)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f944,plain,
    ( ~ spl0_25
    | spl0_147 ),
    inference(avatar_split_clause,[],[f77,f941,f312]) ).

fof(f312,plain,
    ( spl0_25
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f77,axiom,
    ( c1_1(a363)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f939,plain,
    ( spl0_146
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f78,f312,f936]) ).

fof(f78,axiom,
    ( ~ hskp8
    | c2_1(a363) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f916,plain,
    ( ~ spl0_142
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f129,f530,f913]) ).

fof(f530,plain,
    ( spl0_73
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f129,axiom,
    ( ~ hskp5
    | ~ c1_1(a359) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f911,plain,
    ( ~ spl0_86
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f98,f908,f594]) ).

fof(f98,axiom,
    ( ~ c0_1(a395)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f901,plain,
    ( ~ spl0_31
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f105,f898,f340]) ).

fof(f340,plain,
    ( spl0_31
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f105,axiom,
    ( ~ c0_1(a382)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f891,plain,
    ( spl0_138
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f74,f239,f888]) ).

fof(f74,axiom,
    ( ~ hskp11
    | c2_1(a368) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f886,plain,
    ( ~ spl0_1
    | spl0_37
    | spl0_13
    | spl0_70 ),
    inference(avatar_split_clause,[],[f203,f516,f260,f361,f210]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f879,plain,
    ( spl0_41
    | spl0_45
    | spl0_8 ),
    inference(avatar_split_clause,[],[f37,f239,f399,f380]) ).

fof(f380,plain,
    ( spl0_41
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f37,axiom,
    ( hskp11
    | hskp15
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f873,plain,
    ( ~ spl0_21
    | spl0_135 ),
    inference(avatar_split_clause,[],[f52,f870,f295]) ).

fof(f295,plain,
    ( spl0_21
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f52,axiom,
    ( c3_1(a365)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f868,plain,
    ( spl0_8
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f210,f417,f239]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp11
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f867,plain,
    ( ~ spl0_134
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f135,f214,f864]) ).

fof(f214,plain,
    ( spl0_2
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f135,axiom,
    ( ~ hskp1
    | ~ c1_1(a355) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f854,plain,
    ( ~ spl0_132
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f130,f530,f851]) ).

fof(f130,axiom,
    ( ~ hskp5
    | ~ c3_1(a359) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f848,plain,
    ( ~ spl0_131
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f125,f273,f845]) ).

fof(f125,axiom,
    ( ~ hskp6
    | ~ c1_1(a360) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f843,plain,
    ( ~ spl0_61
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f114,f840,f473]) ).

fof(f114,axiom,
    ( ~ c3_1(a370)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f837,plain,
    ( spl0_86
    | spl0_31
    | spl0_16 ),
    inference(avatar_split_clause,[],[f39,f273,f340,f594]) ).

fof(f39,axiom,
    ( hskp6
    | hskp18
    | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f826,plain,
    ( spl0_127
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f50,f295,f823]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c1_1(a365) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f821,plain,
    ( ~ spl0_64
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f115,f818,f489]) ).

fof(f489,plain,
    ( spl0_64
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f115,axiom,
    ( ~ c2_1(a369)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f810,plain,
    ( spl0_36
    | ~ spl0_1
    | spl0_2
    | spl0_54 ),
    inference(avatar_split_clause,[],[f167,f440,f214,f210,f358]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | hskp1
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f804,plain,
    ( ~ spl0_1
    | spl0_16
    | spl0_58
    | spl0_48 ),
    inference(avatar_split_clause,[],[f177,f414,f457,f273,f210]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f802,plain,
    ( ~ spl0_123
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f94,f277,f799]) ).

fof(f277,plain,
    ( spl0_17
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f94,axiom,
    ( ~ hskp24
    | ~ c0_1(a399) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f797,plain,
    ( spl0_53
    | spl0_16 ),
    inference(avatar_split_clause,[],[f1,f273,f435]) ).

fof(f1,axiom,
    ( hskp6
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f796,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_21
    | spl0_80 ),
    inference(avatar_split_clause,[],[f145,f566,f295,f230,f210]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | hskp28
      | hskp19
      | ~ ndr1_0
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f790,plain,
    ( ~ spl0_121
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f95,f277,f787]) ).

fof(f95,axiom,
    ( ~ hskp24
    | ~ c3_1(a399) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f785,plain,
    ( spl0_120
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f47,f422,f782]) ).

fof(f422,plain,
    ( spl0_50
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c0_1(a372) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f775,plain,
    ( spl0_61
    | ~ spl0_1
    | spl0_49
    | spl0_84 ),
    inference(avatar_split_clause,[],[f179,f584,f417,f210,f473]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f774,plain,
    ( spl0_118
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f48,f422,f771]) ).

fof(f48,axiom,
    ( ~ hskp29
    | c1_1(a372) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f768,plain,
    ( ~ spl0_21
    | spl0_117 ),
    inference(avatar_split_clause,[],[f51,f765,f295]) ).

fof(f51,axiom,
    ( c2_1(a365)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f761,plain,
    ( spl0_116
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f41,f326,f758]) ).

fof(f326,plain,
    ( spl0_28
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f41,axiom,
    ( ~ hskp31
    | c0_1(a410) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f750,plain,
    ( ~ spl0_53
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f131,f747,f435]) ).

fof(f131,axiom,
    ( ~ c0_1(a358)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f740,plain,
    ( ~ spl0_1
    | spl0_84
    | spl0_64
    | spl0_35 ),
    inference(avatar_split_clause,[],[f169,f354,f489,f584,f210]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | hskp12
      | ~ c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f734,plain,
    ( spl0_50
    | spl0_65
    | ~ spl0_1
    | spl0_25 ),
    inference(avatar_split_clause,[],[f149,f312,f210,f494,f422]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp8
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c3_1(X0)
      | hskp29
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f733,plain,
    ( ~ spl0_111
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f119,f453,f730]) ).

fof(f453,plain,
    ( spl0_57
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f119,axiom,
    ( ~ hskp10
    | ~ c3_1(a366) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f723,plain,
    ( ~ spl0_109
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f132,f435,f720]) ).

fof(f132,axiom,
    ( ~ hskp4
    | ~ c3_1(a358) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f718,plain,
    ( spl0_108
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f70,f473,f715]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c0_1(a370) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f713,plain,
    ( ~ spl0_1
    | spl0_49
    | spl0_41
    | spl0_55 ),
    inference(avatar_split_clause,[],[f191,f444,f380,f417,f210]) ).

fof(f191,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | c2_1(X1)
      | hskp16
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f703,plain,
    ( ~ spl0_86
    | spl0_106 ),
    inference(avatar_split_clause,[],[f62,f700,f594]) ).

fof(f62,axiom,
    ( c1_1(a395)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f697,plain,
    ( spl0_105
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f67,f380,f694]) ).

fof(f67,axiom,
    ( ~ hskp16
    | c2_1(a379) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f682,plain,
    ( spl0_61
    | spl0_45
    | spl0_50 ),
    inference(avatar_split_clause,[],[f34,f422,f399,f473]) ).

fof(f34,axiom,
    ( hskp29
    | hskp15
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f680,plain,
    ( ~ spl0_1
    | spl0_65
    | spl0_78
    | spl0_41 ),
    inference(avatar_split_clause,[],[f185,f380,f557,f494,f210]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( hskp16
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f670,plain,
    ( spl0_100
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f64,f340,f667]) ).

fof(f64,axiom,
    ( ~ hskp18
    | c3_1(a382) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f665,plain,
    ( ~ spl0_73
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f128,f662,f530]) ).

fof(f128,axiom,
    ( ~ c0_1(a359)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f660,plain,
    ( ~ spl0_25
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f122,f657,f312]) ).

fof(f122,axiom,
    ( ~ c3_1(a363)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f655,plain,
    ( spl0_80
    | spl0_49
    | ~ spl0_1
    | spl0_37 ),
    inference(avatar_split_clause,[],[f206,f361,f210,f417,f566]) ).

fof(f206,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | c0_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X2)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).

fof(f654,plain,
    ( ~ spl0_97
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f110,f399,f651]) ).

fof(f110,axiom,
    ( ~ hskp15
    | ~ c1_1(a376) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f644,plain,
    ( ~ spl0_86
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f99,f641,f594]) ).

fof(f99,axiom,
    ( ~ c2_1(a395)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f634,plain,
    ( spl0_1
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f29,f435,f210]) ).

fof(f29,axiom,
    ( ~ hskp4
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

fof(f632,plain,
    ( ~ spl0_28
    | spl0_93 ),
    inference(avatar_split_clause,[],[f42,f629,f326]) ).

fof(f42,axiom,
    ( c2_1(a410)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f618,plain,
    ( ~ spl0_6
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f615,f230]) ).

fof(f102,axiom,
    ( ~ c0_1(a387)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f603,plain,
    ( spl0_87
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f75,f239,f600]) ).

fof(f75,axiom,
    ( ~ hskp11
    | c3_1(a368) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f592,plain,
    ( ~ spl0_1
    | spl0_55
    | spl0_32
    | spl0_53 ),
    inference(avatar_split_clause,[],[f190,f435,f344,f444,f210]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( hskp4
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f591,plain,
    ( ~ spl0_64
    | spl0_85 ),
    inference(avatar_split_clause,[],[f72,f588,f489]) ).

fof(f72,axiom,
    ( c0_1(a369)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f586,plain,
    ( spl0_54
    | spl0_83
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f210,f584,f581,f440]) ).

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

fof(f578,plain,
    ( ~ spl0_1
    | spl0_77
    | spl0_82
    | spl0_32 ),
    inference(avatar_split_clause,[],[f208,f344,f576,f554,f210]) ).

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

fof(f573,plain,
    ( spl0_81
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f81,f244,f570]) ).

fof(f81,axiom,
    ( ~ hskp3
    | c1_1(a357) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f561,plain,
    ( ~ spl0_1
    | spl0_53
    | spl0_9
    | spl0_54 ),
    inference(avatar_split_clause,[],[f137,f440,f244,f435,f210]) ).

fof(f137,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp3
      | hskp4
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f559,plain,
    ( ~ spl0_1
    | spl0_77
    | spl0_52
    | spl0_78 ),
    inference(avatar_split_clause,[],[f204,f557,f431,f554,f210]) ).

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

fof(f547,plain,
    ( ~ spl0_75
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f127,f273,f544]) ).

fof(f127,axiom,
    ( ~ hskp6
    | ~ c3_1(a360) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f542,plain,
    ( spl0_16
    | spl0_73
    | ~ spl0_1
    | spl0_54 ),
    inference(avatar_split_clause,[],[f138,f440,f210,f530,f273]) ).

fof(f138,axiom,
    ! [X0] :
      ( c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp5
      | c0_1(X0)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f541,plain,
    ( spl0_61
    | spl0_53
    | spl0_46 ),
    inference(avatar_split_clause,[],[f36,f404,f435,f473]) ).

fof(f404,plain,
    ( spl0_46
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f36,axiom,
    ( hskp27
    | hskp4
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f540,plain,
    ( ~ spl0_74
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f117,f453,f537]) ).

fof(f117,axiom,
    ( ~ hskp10
    | ~ c0_1(a366) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f535,plain,
    ( spl0_49
    | spl0_58
    | ~ spl0_1
    | spl0_41 ),
    inference(avatar_split_clause,[],[f196,f380,f210,f457,f417]) ).

fof(f196,axiom,
    ! [X0,X1] :
      ( hskp16
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f518,plain,
    ( ~ spl0_1
    | spl0_24
    | spl0_69
    | spl0_70 ),
    inference(avatar_split_clause,[],[f175,f516,f513,f307,f210]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | hskp20
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f511,plain,
    ( ~ spl0_68
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f109,f380,f508]) ).

fof(f109,axiom,
    ( ~ hskp16
    | ~ c3_1(a379) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f506,plain,
    ( spl0_67
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f73,f489,f503]) ).

fof(f73,axiom,
    ( ~ hskp12
    | c3_1(a369) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f496,plain,
    ( spl0_65
    | ~ spl0_1
    | spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f150,f230,f244,f210,f494]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp19
      | hskp3
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f486,plain,
    ( ~ spl0_63
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f116,f239,f483]) ).

fof(f116,axiom,
    ( ~ hskp11
    | ~ c1_1(a368) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f481,plain,
    ( ~ spl0_1
    | spl0_35
    | spl0_32
    | spl0_21 ),
    inference(avatar_split_clause,[],[f193,f295,f344,f354,f210]) ).

fof(f193,axiom,
    ! [X0,X1] :
      ( hskp28
      | ~ c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f480,plain,
    ( ~ spl0_61
    | spl0_62 ),
    inference(avatar_split_clause,[],[f71,f477,f473]) ).

fof(f71,axiom,
    ( c2_1(a370)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f471,plain,
    ( ~ spl0_2
    | spl0_60 ),
    inference(avatar_split_clause,[],[f86,f468,f214]) ).

fof(f86,axiom,
    ( c3_1(a355)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f465,plain,
    ( spl0_53
    | spl0_4
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f210,f299,f222,f435]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f464,plain,
    ( ~ spl0_59
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f118,f453,f461]) ).

fof(f118,axiom,
    ( ~ hskp10
    | ~ c2_1(a366) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f459,plain,
    ( ~ spl0_1
    | spl0_35
    | spl0_57
    | spl0_58 ),
    inference(avatar_split_clause,[],[f183,f457,f453,f354,f210]) ).

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

fof(f442,plain,
    ( ~ spl0_1
    | spl0_33
    | spl0_48
    | spl0_54 ),
    inference(avatar_split_clause,[],[f194,f440,f414,f348,f210]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f438,plain,
    ( spl0_8
    | spl0_53
    | spl0_17 ),
    inference(avatar_split_clause,[],[f40,f277,f435,f239]) ).

fof(f40,axiom,
    ( hskp24
    | hskp4
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f429,plain,
    ( ~ spl0_50
    | spl0_51 ),
    inference(avatar_split_clause,[],[f49,f426,f422]) ).

fof(f49,axiom,
    ( c2_1(a372)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f407,plain,
    ( spl0_1
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f6,f404,f210]) ).

fof(f6,axiom,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f402,plain,
    ( spl0_44
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f68,f399,f395]) ).

fof(f68,axiom,
    ( ~ hskp15
    | c0_1(a376) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f387,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f108,f384,f380]) ).

fof(f108,axiom,
    ( ~ c1_1(a379)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f373,plain,
    ( ~ spl0_39
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f106,f340,f370]) ).

fof(f106,axiom,
    ( ~ hskp18
    | ~ c2_1(a382) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f363,plain,
    ( ~ spl0_1
    | spl0_36
    | spl0_37
    | spl0_28 ),
    inference(avatar_split_clause,[],[f187,f326,f361,f358,f210]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( hskp31
      | c3_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f356,plain,
    ( spl0_33
    | spl0_34
    | spl0_35
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f210,f354,f351,f348]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f329,plain,
    ( spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f43,f326,f322]) ).

fof(f43,axiom,
    ( ~ hskp31
    | c3_1(a410) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f310,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f100,f307,f303]) ).

fof(f100,axiom,
    ( ~ hskp20
    | ~ c2_1(a388) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f301,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f182,f299,f210,f295,f292]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ ndr1_0
      | hskp28
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f251,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f133,f248,f244]) ).

fof(f133,axiom,
    ( ~ c0_1(a357)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f233,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f103,f230,f226]) ).

fof(f103,axiom,
    ( ~ hskp19
    | ~ c1_1(a387) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN504-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13  % 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 : n006.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 22:00:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (6788)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (6802)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (6796)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (6787)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (6786)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)
% 0.20/0.51  % (6785)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)
% 0.20/0.51  % (6790)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)
% 0.20/0.51  % (6784)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)
% 0.20/0.51  % (6799)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  Detected maximum model sizes of [32]
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (6807)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  % (6793)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)
% 0.20/0.52  % (6795)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)
% 0.20/0.53  % (6808)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (6800)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.53  % (6811)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)
% 1.38/0.53  % (6804)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.38/0.53  % (6805)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.38/0.53  % (6813)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)
% 1.38/0.53  % (6798)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)
% 1.38/0.53  % (6789)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)
% 1.38/0.53  % (6801)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.38/0.54  % (6809)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.38/0.54  TRYING [2]
% 1.38/0.54  % (6791)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.54  TRYING [3]
% 1.38/0.54  % (6803)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)
% 1.38/0.54  % (6812)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.38/0.54  % (6791)Instruction limit reached!
% 1.38/0.54  % (6791)------------------------------
% 1.38/0.54  % (6791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (6791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (6791)Termination reason: Unknown
% 1.38/0.54  % (6791)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (6791)Memory used [KB]: 6012
% 1.38/0.54  % (6791)Time elapsed: 0.148 s
% 1.38/0.54  % (6791)Instructions burned: 7 (million)
% 1.38/0.54  % (6791)------------------------------
% 1.38/0.54  % (6791)------------------------------
% 1.38/0.54  TRYING [4]
% 1.38/0.54  % (6810)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)
% 1.38/0.54  % (6806)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)
% 1.38/0.54  % (6792)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.38/0.55  % (6792)Instruction limit reached!
% 1.38/0.55  % (6792)------------------------------
% 1.38/0.55  % (6792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55  % (6792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55  % (6792)Termination reason: Unknown
% 1.38/0.55  % (6792)Termination phase: shuffling
% 1.38/0.55  
% 1.38/0.55  % (6792)Memory used [KB]: 1023
% 1.38/0.55  % (6792)Time elapsed: 0.003 s
% 1.38/0.55  % (6792)Instructions burned: 2 (million)
% 1.38/0.55  % (6792)------------------------------
% 1.38/0.55  % (6792)------------------------------
% 1.38/0.55  % (6794)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.55  % (6797)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.55  % (6785)Refutation not found, incomplete strategy% (6785)------------------------------
% 1.58/0.55  % (6785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (6785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (6785)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.55  
% 1.58/0.55  % (6785)Memory used [KB]: 6268
% 1.58/0.55  % (6785)Time elapsed: 0.110 s
% 1.58/0.55  % (6785)Instructions burned: 17 (million)
% 1.58/0.55  % (6785)------------------------------
% 1.58/0.55  % (6785)------------------------------
% 1.58/0.56  % (6788)Instruction limit reached!
% 1.58/0.56  % (6788)------------------------------
% 1.58/0.56  % (6788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (6788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (6788)Termination reason: Unknown
% 1.58/0.56  % (6788)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (6788)Memory used [KB]: 6908
% 1.58/0.56  % (6788)Time elapsed: 0.144 s
% 1.58/0.56  % (6788)Instructions burned: 52 (million)
% 1.58/0.56  % (6788)------------------------------
% 1.58/0.56  % (6788)------------------------------
% 1.58/0.56  Detected maximum model sizes of [32]
% 1.58/0.56  Detected maximum model sizes of [32]
% 1.58/0.56  TRYING [1]
% 1.58/0.56  TRYING [2]
% 1.58/0.57  % (6786)Instruction limit reached!
% 1.58/0.57  % (6786)------------------------------
% 1.58/0.57  % (6786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57  TRYING [3]
% 1.58/0.57  TRYING [1]
% 1.58/0.57  TRYING [2]
% 1.58/0.57  % (6786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57  % (6786)Termination reason: Unknown
% 1.58/0.57  % (6786)Termination phase: Saturation
% 1.58/0.57  
% 1.58/0.57  % (6786)Memory used [KB]: 1279
% 1.58/0.57  % (6786)Time elapsed: 0.151 s
% 1.58/0.57  % (6786)Instructions burned: 38 (million)
% 1.58/0.57  % (6786)------------------------------
% 1.58/0.57  % (6786)------------------------------
% 1.58/0.58  TRYING [3]
% 1.58/0.58  TRYING [4]
% 1.58/0.58  % (6795)First to succeed.
% 1.58/0.59  % (6790)Instruction limit reached!
% 1.58/0.59  % (6790)------------------------------
% 1.58/0.59  % (6790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (6790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (6790)Termination reason: Unknown
% 1.58/0.59  % (6790)Termination phase: Finite model building SAT solving
% 1.58/0.59  
% 1.58/0.59  % (6790)Memory used [KB]: 6268
% 1.58/0.59  % (6790)Time elapsed: 0.156 s
% 1.58/0.59  % (6790)Instructions burned: 51 (million)
% 1.58/0.59  % (6790)------------------------------
% 1.58/0.59  % (6790)------------------------------
% 1.58/0.60  TRYING [4]
% 1.58/0.60  % (6787)Also succeeded, but the first one will report.
% 1.58/0.60  % (6795)Refutation found. Thanks to Tanya!
% 1.58/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.58/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.60  % (6795)------------------------------
% 1.58/0.60  % (6795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60  % (6795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (6795)Termination reason: Refutation
% 1.58/0.60  
% 1.58/0.60  % (6795)Memory used [KB]: 6652
% 1.58/0.60  % (6795)Time elapsed: 0.175 s
% 1.58/0.60  % (6795)Instructions burned: 32 (million)
% 1.58/0.60  % (6795)------------------------------
% 1.58/0.60  % (6795)------------------------------
% 1.58/0.60  % (6783)Success in time 0.249 s
%------------------------------------------------------------------------------