TSTP Solution File: ALG170+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n012.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 15:40:19 EDT 2022

% Result   : Theorem 2.24s 0.65s
% Output   : Refutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   94
% Syntax   : Number of formulae    :  427 (  67 unt;   0 def)
%            Number of atoms       : 1676 (1101 equ)
%            Maximal formula atoms :  250 (   3 avg)
%            Number of connectives : 2055 ( 806   ~; 766   |; 404   &)
%                                         (  79 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   89 (  87 usr;  88 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2352,plain,
    $false,
    inference(avatar_sat_refutation,[],[f433,f485,f538,f625,f634,f737,f800,f805,f810,f846,f847,f849,f869,f870,f891,f892,f893,f903,f915,f919,f924,f931,f933,f934,f935,f948,f950,f951,f965,f1002,f1039,f1080,f1081,f1082,f1084,f1085,f1086,f1087,f1158,f1159,f1177,f1212,f1220,f1234,f1236,f1273,f1282,f1293,f1324,f1379,f1405,f1407,f1411,f1420,f1423,f1463,f1466,f1521,f1527,f1534,f1540,f1557,f1565,f1608,f1614,f1681,f1685,f1716,f1723,f1726,f1754,f1793,f1820,f1908,f1918,f1923,f1931,f1948,f1951,f1961,f1967,f1979,f2086,f2183,f2245,f2262,f2268,f2286,f2302,f2314,f2324,f2333]) ).

fof(f2333,plain,
    ( ~ spl8_48
    | ~ spl8_122
    | ~ spl8_133 ),
    inference(avatar_contradiction_clause,[],[f2332]) ).

fof(f2332,plain,
    ( $false
    | ~ spl8_48
    | ~ spl8_122
    | ~ spl8_133 ),
    inference(subsumption_resolution,[],[f2331,f290]) ).

fof(f290,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e0 != e2
    & e0 != e3
    & e2 != e4
    & e1 != e4
    & e0 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e1
    & e2 != e3
    & e3 != e4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f2331,plain,
    ( e0 = e2
    | ~ spl8_48
    | ~ spl8_122
    | ~ spl8_133 ),
    inference(forward_demodulation,[],[f2327,f498]) ).

fof(f498,plain,
    ( e0 = op(e3,e3)
    | ~ spl8_48 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl8_48
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_48])]) ).

fof(f2327,plain,
    ( e2 = op(e3,e3)
    | ~ spl8_122
    | ~ spl8_133 ),
    inference(backward_demodulation,[],[f2178,f839]) ).

fof(f839,plain,
    ( e3 = op(e4,e2)
    | ~ spl8_122 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl8_122
  <=> e3 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_122])]) ).

fof(f2178,plain,
    ( e2 = op(op(e4,e2),e3)
    | ~ spl8_133 ),
    inference(forward_demodulation,[],[f162,f914]) ).

fof(f914,plain,
    ( e3 = op(e2,e4)
    | ~ spl8_133 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f912,plain,
    ( spl8_133
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_133])]) ).

fof(f162,plain,
    e2 = op(op(e4,e2),op(e2,e4)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( e3 = op(op(e4,e3),op(e3,e4))
    & e0 = op(op(e2,e0),op(e0,e2))
    & e4 = op(op(e2,e4),op(e4,e2))
    & e1 = op(op(e1,e1),op(e1,e1))
    & e0 = op(op(e1,e0),op(e0,e1))
    & e4 = op(op(e1,e4),op(e4,e1))
    & e2 = op(op(e1,e2),op(e2,e1))
    & e4 = op(op(e0,e4),op(e4,e0))
    & e1 = op(op(e4,e1),op(e1,e4))
    & e1 = op(op(e0,e1),op(e1,e0))
    & e3 = op(op(e1,e3),op(e3,e1))
    & e4 = op(op(e3,e4),op(e4,e3))
    & e1 = op(op(e2,e1),op(e1,e2))
    & e4 = op(op(e4,e4),op(e4,e4))
    & e2 = op(op(e0,e2),op(e2,e0))
    & e0 = op(op(e0,e0),op(e0,e0))
    & e1 = op(op(e3,e1),op(e1,e3))
    & e2 = op(op(e3,e2),op(e2,e3))
    & e2 = op(op(e4,e2),op(e2,e4))
    & e3 = op(op(e0,e3),op(e3,e0))
    & e0 = op(op(e3,e0),op(e0,e3))
    & e2 = op(op(e2,e2),op(e2,e2))
    & e3 = op(op(e3,e3),op(e3,e3))
    & e3 = op(op(e2,e3),op(e3,e2))
    & e0 = op(op(e4,e0),op(e0,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f2324,plain,
    ( ~ spl8_85
    | ~ spl8_130 ),
    inference(avatar_contradiction_clause,[],[f2323]) ).

fof(f2323,plain,
    ( $false
    | ~ spl8_85
    | ~ spl8_130 ),
    inference(subsumption_resolution,[],[f2322,f281]) ).

fof(f281,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2322,plain,
    ( e3 = e4
    | ~ spl8_85
    | ~ spl8_130 ),
    inference(forward_demodulation,[],[f2320,f890]) ).

fof(f890,plain,
    ( e3 = op(e4,e3)
    | ~ spl8_130 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f888,plain,
    ( spl8_130
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_130])]) ).

fof(f2320,plain,
    ( e4 = op(e4,e3)
    | ~ spl8_85
    | ~ spl8_130 ),
    inference(backward_demodulation,[],[f2309,f660]) ).

fof(f660,plain,
    ( e4 = op(e3,e4)
    | ~ spl8_85 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f658,plain,
    ( spl8_85
  <=> e4 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_85])]) ).

fof(f2309,plain,
    ( e4 = op(op(e3,e4),e3)
    | ~ spl8_130 ),
    inference(forward_demodulation,[],[f169,f890]) ).

fof(f169,plain,
    e4 = op(op(e3,e4),op(e4,e3)),
    inference(cnf_transformation,[],[f3]) ).

fof(f2314,plain,
    ( ~ spl8_77
    | ~ spl8_133 ),
    inference(avatar_split_clause,[],[f2169,f912,f622]) ).

fof(f622,plain,
    ( spl8_77
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_77])]) ).

fof(f2169,plain,
    ( e3 != op(e1,e4)
    | ~ spl8_133 ),
    inference(forward_demodulation,[],[f208,f914]) ).

fof(f208,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( op(e0,e0) != op(e0,e4)
    & op(e3,e1) != op(e3,e2)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e3) != op(e4,e3)
    & op(e2,e4) != op(e4,e4)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e3,e0) != op(e4,e0)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e3) != op(e2,e3)
    & op(e2,e2) != op(e2,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e0,e2) != op(e0,e4)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e3) != op(e2,e3)
    & op(e3,e2) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e0,e2) != op(e2,e2)
    & op(e3,e3) != op(e4,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e0,e4) != op(e2,e4)
    & op(e2,e0) != op(e4,e0)
    & op(e1,e1) != op(e1,e4)
    & op(e3,e0) != op(e3,e3)
    & op(e2,e3) != op(e2,e4)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e4) != op(e3,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e2,e2) != op(e4,e2)
    & op(e4,e0) != op(e4,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e3,e1) != op(e4,e1)
    & op(e0,e4) != op(e1,e4)
    & op(e0,e0) != op(e1,e0)
    & op(e3,e0) != op(e3,e4)
    & op(e4,e0) != op(e4,e2)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e1) != op(e3,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e2) != op(e4,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e1) != op(e4,e3)
    & op(e2,e4) != op(e3,e4)
    & op(e0,e0) != op(e0,e3)
    & op(e4,e0) != op(e4,e4)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e0,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e4,e3) != op(e4,e4)
    & op(e4,e1) != op(e4,e2)
    & op(e3,e0) != op(e3,e2)
    & op(e2,e1) != op(e4,e1)
    & op(e0,e1) != op(e0,e2)
    & op(e3,e4) != op(e4,e4)
    & op(e4,e2) != op(e4,e4)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e2) != op(e1,e4)
    & op(e0,e0) != op(e4,e0)
    & op(e4,e2) != op(e4,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e2,e1) != op(e2,e4)
    & op(e0,e0) != op(e0,e2)
    & op(e1,e4) != op(e2,e4)
    & op(e3,e3) != op(e3,e4)
    & op(e0,e3) != op(e1,e3)
    & op(e1,e2) != op(e4,e2)
    & op(e1,e1) != op(e1,e2)
    & op(e3,e2) != op(e4,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e1) != op(e2,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e3,e1) != op(e3,e3)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e0) != op(e1,e3)
    & op(e0,e1) != op(e4,e1)
    & op(e4,e0) != op(e4,e1)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e2) != op(e3,e3)
    & op(e0,e3) != op(e0,e4)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e2) != op(e1,e3)
    & op(e0,e0) != op(e2,e0)
    & op(e1,e3) != op(e1,e4)
    & op(e1,e2) != op(e3,e2)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e0) != op(e2,e0)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e3) != op(e4,e3)
    & op(e1,e1) != op(e4,e1)
    & op(e1,e1) != op(e1,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f2302,plain,
    ( ~ spl8_16
    | ~ spl8_116 ),
    inference(avatar_split_clause,[],[f2301,f807,f356]) ).

fof(f356,plain,
    ( spl8_16
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).

fof(f807,plain,
    ( spl8_116
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_116])]) ).

fof(f2301,plain,
    ( e3 != op(e3,e4)
    | ~ spl8_116 ),
    inference(forward_demodulation,[],[f245,f808]) ).

fof(f808,plain,
    ( e3 = op(e3,e1)
    | ~ spl8_116 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f245,plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2286,plain,
    ( ~ spl8_16
    | ~ spl8_133 ),
    inference(avatar_split_clause,[],[f2285,f912,f356]) ).

fof(f2285,plain,
    ( e3 != op(e3,e4)
    | ~ spl8_133 ),
    inference(forward_demodulation,[],[f229,f914]) ).

fof(f229,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2268,plain,
    ( ~ spl8_93
    | ~ spl8_99 ),
    inference(avatar_contradiction_clause,[],[f2267]) ).

fof(f2267,plain,
    ( $false
    | ~ spl8_93
    | ~ spl8_99 ),
    inference(subsumption_resolution,[],[f2266,f287]) ).

fof(f287,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2266,plain,
    ( e1 = e4
    | ~ spl8_93
    | ~ spl8_99 ),
    inference(forward_demodulation,[],[f697,f727]) ).

fof(f727,plain,
    ( e1 = op(e4,e4)
    | ~ spl8_99 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl8_99
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_99])]) ).

fof(f697,plain,
    ( e4 = op(e4,e4)
    | ~ spl8_93 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f696,plain,
    ( spl8_93
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_93])]) ).

fof(f2262,plain,
    ( ~ spl8_127
    | ~ spl8_132 ),
    inference(avatar_split_clause,[],[f2261,f900,f866]) ).

fof(f866,plain,
    ( spl8_127
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_127])]) ).

fof(f900,plain,
    ( spl8_132
  <=> e4 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_132])]) ).

fof(f2261,plain,
    ( e4 != op(e4,e2)
    | ~ spl8_132 ),
    inference(forward_demodulation,[],[f233,f902]) ).

fof(f902,plain,
    ( e4 = op(e0,e2)
    | ~ spl8_132 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f233,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2245,plain,
    ( spl8_132
    | ~ spl8_61
    | ~ spl8_96 ),
    inference(avatar_split_clause,[],[f2244,f709,f553,f900]) ).

fof(f553,plain,
    ( spl8_61
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_61])]) ).

fof(f709,plain,
    ( spl8_96
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_96])]) ).

fof(f2244,plain,
    ( e4 = op(e0,e2)
    | ~ spl8_61
    | ~ spl8_96 ),
    inference(backward_demodulation,[],[f1944,f555]) ).

fof(f555,plain,
    ( e0 = op(e0,e4)
    | ~ spl8_61 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f1944,plain,
    ( e4 = op(op(e0,e4),e2)
    | ~ spl8_96 ),
    inference(forward_demodulation,[],[f173,f711]) ).

fof(f711,plain,
    ( e2 = op(e4,e0)
    | ~ spl8_96 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f173,plain,
    e4 = op(op(e0,e4),op(e4,e0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f2183,plain,
    ( ~ spl8_37
    | ~ spl8_41 ),
    inference(avatar_contradiction_clause,[],[f2182]) ).

fof(f2182,plain,
    ( $false
    | ~ spl8_37
    | ~ spl8_41 ),
    inference(subsumption_resolution,[],[f1896,f450]) ).

fof(f450,plain,
    ( e2 = op(e1,e4)
    | ~ spl8_37 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl8_37
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_37])]) ).

fof(f1896,plain,
    ( e2 != op(e1,e4)
    | ~ spl8_41 ),
    inference(forward_demodulation,[],[f249,f467]) ).

fof(f467,plain,
    ( e2 = op(e3,e4)
    | ~ spl8_41 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f465,plain,
    ( spl8_41
  <=> e2 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_41])]) ).

fof(f249,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2086,plain,
    ( ~ spl8_48
    | ~ spl8_121 ),
    inference(avatar_contradiction_clause,[],[f2085]) ).

fof(f2085,plain,
    ( $false
    | ~ spl8_48
    | ~ spl8_121 ),
    inference(subsumption_resolution,[],[f2084,f290]) ).

fof(f2084,plain,
    ( e0 = e2
    | ~ spl8_48
    | ~ spl8_121 ),
    inference(forward_demodulation,[],[f2083,f498]) ).

fof(f2083,plain,
    ( e2 = op(e3,e3)
    | ~ spl8_121 ),
    inference(forward_demodulation,[],[f159,f835]) ).

fof(f835,plain,
    ( e3 = op(e2,e2)
    | ~ spl8_121 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f833,plain,
    ( spl8_121
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_121])]) ).

fof(f159,plain,
    e2 = op(op(e2,e2),op(e2,e2)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1979,plain,
    ( ~ spl8_78
    | ~ spl8_106 ),
    inference(avatar_split_clause,[],[f1978,f758,f627]) ).

fof(f627,plain,
    ( spl8_78
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_78])]) ).

fof(f758,plain,
    ( spl8_106
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_106])]) ).

fof(f1978,plain,
    ( e3 != op(e1,e0)
    | ~ spl8_106 ),
    inference(forward_demodulation,[],[f240,f760]) ).

fof(f760,plain,
    ( op(e0,e0) = e3
    | ~ spl8_106 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f240,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1967,plain,
    ( ~ spl8_130
    | ~ spl8_90 ),
    inference(avatar_split_clause,[],[f1966,f682,f888]) ).

fof(f682,plain,
    ( spl8_90
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_90])]) ).

fof(f1966,plain,
    ( e3 != op(e4,e3)
    | ~ spl8_90 ),
    inference(forward_demodulation,[],[f183,f684]) ).

fof(f684,plain,
    ( e3 = op(e2,e3)
    | ~ spl8_90 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f183,plain,
    op(e2,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1961,plain,
    ( ~ spl8_118
    | ~ spl8_116 ),
    inference(avatar_split_clause,[],[f1772,f807,f816]) ).

fof(f816,plain,
    ( spl8_118
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_118])]) ).

fof(f1772,plain,
    ( e3 != op(e2,e1)
    | ~ spl8_116 ),
    inference(forward_demodulation,[],[f250,f808]) ).

fof(f250,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1951,plain,
    ( ~ spl8_99
    | ~ spl8_126 ),
    inference(avatar_contradiction_clause,[],[f1950]) ).

fof(f1950,plain,
    ( $false
    | ~ spl8_99
    | ~ spl8_126 ),
    inference(subsumption_resolution,[],[f1949,f285]) ).

fof(f285,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1949,plain,
    ( e1 = e3
    | ~ spl8_99
    | ~ spl8_126 ),
    inference(forward_demodulation,[],[f863,f727]) ).

fof(f863,plain,
    ( e3 = op(e4,e4)
    | ~ spl8_126 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f861,plain,
    ( spl8_126
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_126])]) ).

fof(f1948,plain,
    ( ~ spl8_38
    | ~ spl8_96 ),
    inference(avatar_split_clause,[],[f1947,f709,f452]) ).

fof(f452,plain,
    ( spl8_38
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).

fof(f1947,plain,
    ( e2 != op(e1,e0)
    | ~ spl8_96 ),
    inference(forward_demodulation,[],[f191,f711]) ).

fof(f191,plain,
    op(e1,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1931,plain,
    ( ~ spl8_114
    | ~ spl8_106 ),
    inference(avatar_split_clause,[],[f1930,f758,f797]) ).

fof(f797,plain,
    ( spl8_114
  <=> e3 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_114])]) ).

fof(f1930,plain,
    ( e3 != op(e0,e4)
    | ~ spl8_106 ),
    inference(forward_demodulation,[],[f280,f760]) ).

fof(f280,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1923,plain,
    ( ~ spl8_101
    | ~ spl8_127 ),
    inference(avatar_split_clause,[],[f1922,f866,f734]) ).

fof(f734,plain,
    ( spl8_101
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_101])]) ).

fof(f1922,plain,
    ( e4 != op(e4,e3)
    | ~ spl8_127 ),
    inference(backward_demodulation,[],[f213,f868]) ).

fof(f868,plain,
    ( e4 = op(e4,e2)
    | ~ spl8_127 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f213,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1918,plain,
    ( ~ spl8_95
    | ~ spl8_96 ),
    inference(avatar_split_clause,[],[f1914,f709,f705]) ).

fof(f705,plain,
    ( spl8_95
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_95])]) ).

fof(f1914,plain,
    ( e2 != op(e4,e3)
    | ~ spl8_96 ),
    inference(backward_demodulation,[],[f246,f711]) ).

fof(f246,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1908,plain,
    ( ~ spl8_18
    | ~ spl8_80 ),
    inference(avatar_split_clause,[],[f1537,f636,f365]) ).

fof(f365,plain,
    ( spl8_18
  <=> e4 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).

fof(f636,plain,
    ( spl8_80
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_80])]) ).

fof(f1537,plain,
    ( e4 != op(e1,e0)
    | ~ spl8_80 ),
    inference(forward_demodulation,[],[f211,f638]) ).

fof(f638,plain,
    ( e4 = op(e1,e1)
    | ~ spl8_80 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f211,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1820,plain,
    ( ~ spl8_53
    | ~ spl8_99 ),
    inference(avatar_split_clause,[],[f1286,f725,f518]) ).

fof(f518,plain,
    ( spl8_53
  <=> e1 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_53])]) ).

fof(f1286,plain,
    ( e1 != op(e0,e4)
    | ~ spl8_99 ),
    inference(forward_demodulation,[],[f268,f727]) ).

fof(f268,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1793,plain,
    ( ~ spl8_63
    | ~ spl8_105 ),
    inference(avatar_contradiction_clause,[],[f1792]) ).

fof(f1792,plain,
    ( $false
    | ~ spl8_63
    | ~ spl8_105 ),
    inference(subsumption_resolution,[],[f1791,f563]) ).

fof(f563,plain,
    ( e0 = op(e0,e2)
    | ~ spl8_63 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl8_63
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_63])]) ).

fof(f1791,plain,
    ( e0 != op(e0,e2)
    | ~ spl8_105 ),
    inference(forward_demodulation,[],[f261,f755]) ).

fof(f755,plain,
    ( e0 = op(e2,e2)
    | ~ spl8_105 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f753,plain,
    ( spl8_105
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_105])]) ).

fof(f261,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1754,plain,
    ( ~ spl8_28
    | ~ spl8_75
    | ~ spl8_106 ),
    inference(avatar_contradiction_clause,[],[f1753]) ).

fof(f1753,plain,
    ( $false
    | ~ spl8_28
    | ~ spl8_75
    | ~ spl8_106 ),
    inference(subsumption_resolution,[],[f1752,f281]) ).

fof(f1752,plain,
    ( e3 = e4
    | ~ spl8_28
    | ~ spl8_75
    | ~ spl8_106 ),
    inference(forward_demodulation,[],[f1751,f760]) ).

fof(f1751,plain,
    ( op(e0,e0) = e4
    | ~ spl8_28
    | ~ spl8_75 ),
    inference(forward_demodulation,[],[f1315,f616]) ).

fof(f616,plain,
    ( e0 = op(e1,e4)
    | ~ spl8_75 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f614,plain,
    ( spl8_75
  <=> e0 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_75])]) ).

fof(f1315,plain,
    ( e4 = op(op(e1,e4),e0)
    | ~ spl8_28 ),
    inference(forward_demodulation,[],[f175,f410]) ).

fof(f410,plain,
    ( e0 = op(e4,e1)
    | ~ spl8_28 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f408,plain,
    ( spl8_28
  <=> e0 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).

fof(f175,plain,
    e4 = op(op(e1,e4),op(e4,e1)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1726,plain,
    ( ~ spl8_86
    | ~ spl8_59 ),
    inference(avatar_split_clause,[],[f1724,f544,f664]) ).

fof(f664,plain,
    ( spl8_86
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_86])]) ).

fof(f544,plain,
    ( spl8_59
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_59])]) ).

fof(f1724,plain,
    ( e1 != op(e2,e2)
    | ~ spl8_59 ),
    inference(backward_demodulation,[],[f259,f546]) ).

fof(f546,plain,
    ( e1 = op(e2,e1)
    | ~ spl8_59 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f259,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1723,plain,
    ( spl8_59
    | ~ spl8_34
    | ~ spl8_131 ),
    inference(avatar_split_clause,[],[f1722,f895,f435,f544]) ).

fof(f435,plain,
    ( spl8_34
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).

fof(f895,plain,
    ( spl8_131
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_131])]) ).

fof(f1722,plain,
    ( e1 = op(e2,e1)
    | ~ spl8_34
    | ~ spl8_131 ),
    inference(forward_demodulation,[],[f1721,f897]) ).

fof(f897,plain,
    ( e2 = op(e0,e1)
    | ~ spl8_131 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f1721,plain,
    ( e1 = op(op(e0,e1),e1)
    | ~ spl8_34 ),
    inference(forward_demodulation,[],[f171,f437]) ).

fof(f437,plain,
    ( e1 = op(e1,e0)
    | ~ spl8_34 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f171,plain,
    e1 = op(op(e0,e1),op(e1,e0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1716,plain,
    ( ~ spl8_10
    | ~ spl8_58 ),
    inference(avatar_contradiction_clause,[],[f1715]) ).

fof(f1715,plain,
    ( $false
    | ~ spl8_10
    | ~ spl8_58 ),
    inference(subsumption_resolution,[],[f1714,f285]) ).

fof(f1714,plain,
    ( e1 = e3
    | ~ spl8_10
    | ~ spl8_58 ),
    inference(forward_demodulation,[],[f1712,f542]) ).

fof(f542,plain,
    ( e1 = op(e3,e1)
    | ~ spl8_58 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl8_58
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_58])]) ).

fof(f1712,plain,
    ( e3 = op(e3,e1)
    | ~ spl8_10
    | ~ spl8_58 ),
    inference(backward_demodulation,[],[f1558,f542]) ).

fof(f1558,plain,
    ( e3 = op(e3,op(e3,e1))
    | ~ spl8_10 ),
    inference(forward_demodulation,[],[f170,f333]) ).

fof(f333,plain,
    ( e3 = op(e1,e3)
    | ~ spl8_10 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl8_10
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).

fof(f170,plain,
    e3 = op(op(e1,e3),op(e3,e1)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1685,plain,
    ( ~ spl8_79
    | ~ spl8_80 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1684,plain,
    ( $false
    | ~ spl8_79
    | ~ spl8_80 ),
    inference(subsumption_resolution,[],[f1683,f281]) ).

fof(f1683,plain,
    ( e3 = e4
    | ~ spl8_79
    | ~ spl8_80 ),
    inference(backward_demodulation,[],[f638,f633]) ).

fof(f633,plain,
    ( e3 = op(e1,e1)
    | ~ spl8_79 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl8_79
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_79])]) ).

fof(f1681,plain,
    ( ~ spl8_82
    | ~ spl8_80 ),
    inference(avatar_split_clause,[],[f1680,f636,f644]) ).

fof(f644,plain,
    ( spl8_82
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_82])]) ).

fof(f1680,plain,
    ( e4 != op(e3,e1)
    | ~ spl8_80 ),
    inference(forward_demodulation,[],[f258,f638]) ).

fof(f258,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1614,plain,
    ( ~ spl8_42
    | ~ spl8_131 ),
    inference(avatar_split_clause,[],[f1613,f895,f469]) ).

fof(f469,plain,
    ( spl8_42
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).

fof(f1613,plain,
    ( e2 != op(e3,e1)
    | ~ spl8_131 ),
    inference(forward_demodulation,[],[f236,f897]) ).

fof(f236,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1608,plain,
    ( ~ spl8_28
    | ~ spl8_37
    | ~ spl8_44 ),
    inference(avatar_contradiction_clause,[],[f1607]) ).

fof(f1607,plain,
    ( $false
    | ~ spl8_28
    | ~ spl8_37
    | ~ spl8_44 ),
    inference(subsumption_resolution,[],[f1606,f287]) ).

fof(f1606,plain,
    ( e1 = e4
    | ~ spl8_28
    | ~ spl8_37
    | ~ spl8_44 ),
    inference(forward_demodulation,[],[f1600,f480]) ).

fof(f480,plain,
    ( e1 = op(e2,e0)
    | ~ spl8_44 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl8_44
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_44])]) ).

fof(f1600,plain,
    ( e4 = op(e2,e0)
    | ~ spl8_28
    | ~ spl8_37 ),
    inference(backward_demodulation,[],[f1315,f450]) ).

fof(f1565,plain,
    ( ~ spl8_24
    | ~ spl8_80 ),
    inference(avatar_split_clause,[],[f1564,f636,f390]) ).

fof(f390,plain,
    ( spl8_24
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).

fof(f1564,plain,
    ( e4 != op(e1,e2)
    | ~ spl8_80 ),
    inference(forward_demodulation,[],[f204,f638]) ).

fof(f204,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1557,plain,
    ( ~ spl8_44
    | ~ spl8_86 ),
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | ~ spl8_44
    | ~ spl8_86 ),
    inference(subsumption_resolution,[],[f1555,f480]) ).

fof(f1555,plain,
    ( e1 != op(e2,e0)
    | ~ spl8_86 ),
    inference(forward_demodulation,[],[f257,f666]) ).

fof(f666,plain,
    ( e1 = op(e2,e2)
    | ~ spl8_86 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f257,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1540,plain,
    ( ~ spl8_21
    | ~ spl8_122 ),
    inference(avatar_split_clause,[],[f1539,f837,f378]) ).

fof(f378,plain,
    ( spl8_21
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).

fof(f1539,plain,
    ( e3 != op(e1,e2)
    | ~ spl8_122 ),
    inference(forward_demodulation,[],[f205,f839]) ).

fof(f205,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1534,plain,
    ( ~ spl8_76
    | ~ spl8_80 ),
    inference(avatar_split_clause,[],[f1533,f636,f618]) ).

fof(f618,plain,
    ( spl8_76
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_76])]) ).

fof(f1533,plain,
    ( e4 != op(e1,e4)
    | ~ spl8_80 ),
    inference(backward_demodulation,[],[f254,f638]) ).

fof(f254,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1527,plain,
    ( ~ spl8_119
    | ~ spl8_28 ),
    inference(avatar_split_clause,[],[f1526,f408,f822]) ).

fof(f822,plain,
    ( spl8_119
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_119])]) ).

fof(f1526,plain,
    ( e0 != op(e3,e1)
    | ~ spl8_28 ),
    inference(forward_demodulation,[],[f242,f410]) ).

fof(f242,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1521,plain,
    ( ~ spl8_98
    | ~ spl8_131 ),
    inference(avatar_split_clause,[],[f1520,f895,f720]) ).

fof(f720,plain,
    ( spl8_98
  <=> e2 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_98])]) ).

fof(f1520,plain,
    ( e2 != op(e0,e4)
    | ~ spl8_131 ),
    inference(forward_demodulation,[],[f200,f897]) ).

fof(f200,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1466,plain,
    ( ~ spl8_43
    | ~ spl8_106 ),
    inference(avatar_contradiction_clause,[],[f1465]) ).

fof(f1465,plain,
    ( $false
    | ~ spl8_43
    | ~ spl8_106 ),
    inference(subsumption_resolution,[],[f1464,f285]) ).

fof(f1464,plain,
    ( e1 = e3
    | ~ spl8_43
    | ~ spl8_106 ),
    inference(backward_demodulation,[],[f760,f476]) ).

fof(f476,plain,
    ( op(e0,e0) = e1
    | ~ spl8_43 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl8_43
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_43])]) ).

fof(f1463,plain,
    ( ~ spl8_56
    | spl8_63
    | ~ spl8_131 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | ~ spl8_56
    | spl8_63
    | ~ spl8_131 ),
    inference(subsumption_resolution,[],[f1461,f562]) ).

fof(f562,plain,
    ( e0 != op(e0,e2)
    | spl8_63 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f1461,plain,
    ( e0 = op(e0,e2)
    | ~ spl8_56
    | ~ spl8_131 ),
    inference(forward_demodulation,[],[f1460,f532]) ).

fof(f532,plain,
    ( e0 = op(e1,e0)
    | ~ spl8_56 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f531,plain,
    ( spl8_56
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_56])]) ).

fof(f1460,plain,
    ( e0 = op(op(e1,e0),e2)
    | ~ spl8_131 ),
    inference(forward_demodulation,[],[f176,f897]) ).

fof(f176,plain,
    e0 = op(op(e1,e0),op(e0,e1)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1423,plain,
    ( spl8_115
    | ~ spl8_19
    | ~ spl8_61 ),
    inference(avatar_split_clause,[],[f1422,f553,f369,f802]) ).

fof(f802,plain,
    ( spl8_115
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_115])]) ).

fof(f369,plain,
    ( spl8_19
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).

fof(f1422,plain,
    ( e0 = op(e4,e0)
    | ~ spl8_19
    | ~ spl8_61 ),
    inference(forward_demodulation,[],[f1421,f371]) ).

fof(f371,plain,
    ( e4 = op(e4,e0)
    | ~ spl8_19 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1421,plain,
    ( e0 = op(op(e4,e0),e0)
    | ~ spl8_61 ),
    inference(forward_demodulation,[],[f156,f555]) ).

fof(f156,plain,
    e0 = op(op(e4,e0),op(e0,e4)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1420,plain,
    ( ~ spl8_12
    | ~ spl8_48 ),
    inference(avatar_split_clause,[],[f1419,f496,f339]) ).

fof(f339,plain,
    ( spl8_12
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).

fof(f1419,plain,
    ( e0 != op(e1,e3)
    | ~ spl8_48 ),
    inference(forward_demodulation,[],[f274,f498]) ).

fof(f274,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1411,plain,
    ( spl8_4
    | ~ spl8_28
    | ~ spl8_77 ),
    inference(avatar_split_clause,[],[f1410,f622,f408,f304]) ).

fof(f304,plain,
    ( spl8_4
  <=> e4 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

fof(f1410,plain,
    ( e4 = op(e3,e0)
    | ~ spl8_28
    | ~ spl8_77 ),
    inference(backward_demodulation,[],[f1315,f624]) ).

fof(f624,plain,
    ( e3 = op(e1,e4)
    | ~ spl8_77 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f1407,plain,
    ( ~ spl8_115
    | ~ spl8_28 ),
    inference(avatar_split_clause,[],[f1406,f408,f802]) ).

fof(f1406,plain,
    ( e0 != op(e4,e0)
    | ~ spl8_28 ),
    inference(forward_demodulation,[],[f195,f410]) ).

fof(f195,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1405,plain,
    ( ~ spl8_4
    | ~ spl8_84 ),
    inference(avatar_split_clause,[],[f1400,f654,f304]) ).

fof(f654,plain,
    ( spl8_84
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_84])]) ).

fof(f1400,plain,
    ( e4 != op(e3,e0)
    | ~ spl8_84 ),
    inference(backward_demodulation,[],[f221,f656]) ).

fof(f656,plain,
    ( e4 = op(e3,e2)
    | ~ spl8_84 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f221,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1379,plain,
    ( ~ spl8_4
    | ~ spl8_19 ),
    inference(avatar_split_clause,[],[f1377,f369,f304]) ).

fof(f1377,plain,
    ( e4 != op(e3,e0)
    | ~ spl8_19 ),
    inference(backward_demodulation,[],[f272,f371]) ).

fof(f272,plain,
    op(e3,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1324,plain,
    ( ~ spl8_105
    | ~ spl8_22 ),
    inference(avatar_split_clause,[],[f1323,f382,f753]) ).

fof(f382,plain,
    ( spl8_22
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).

fof(f1323,plain,
    ( e0 != op(e2,e2)
    | ~ spl8_22 ),
    inference(forward_demodulation,[],[f266,f384]) ).

fof(f384,plain,
    ( e0 = op(e1,e2)
    | ~ spl8_22 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f266,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1293,plain,
    ( ~ spl8_72
    | ~ spl8_106 ),
    inference(avatar_split_clause,[],[f1292,f758,f601]) ).

fof(f601,plain,
    ( spl8_72
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_72])]) ).

fof(f1292,plain,
    ( e3 != op(e2,e0)
    | ~ spl8_106 ),
    inference(forward_demodulation,[],[f189,f760]) ).

fof(f189,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1282,plain,
    ( ~ spl8_83
    | ~ spl8_28 ),
    inference(avatar_split_clause,[],[f1281,f408,f649]) ).

fof(f649,plain,
    ( spl8_83
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_83])]) ).

fof(f1281,plain,
    ( e0 != op(e1,e1)
    | ~ spl8_28 ),
    inference(forward_demodulation,[],[f182,f410]) ).

fof(f182,plain,
    op(e1,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1273,plain,
    ( ~ spl8_63
    | ~ spl8_61 ),
    inference(avatar_split_clause,[],[f1272,f553,f561]) ).

fof(f1272,plain,
    ( e0 != op(e0,e2)
    | ~ spl8_61 ),
    inference(forward_demodulation,[],[f267,f555]) ).

fof(f267,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1236,plain,
    ( ~ spl8_102
    | ~ spl8_48 ),
    inference(avatar_split_clause,[],[f1232,f496,f739]) ).

fof(f739,plain,
    ( spl8_102
  <=> e0 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_102])]) ).

fof(f1232,plain,
    ( e0 != op(e4,e3)
    | ~ spl8_48 ),
    inference(backward_demodulation,[],[f260,f498]) ).

fof(f260,plain,
    op(e3,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1234,plain,
    ( ~ spl8_109
    | ~ spl8_48 ),
    inference(avatar_split_clause,[],[f1231,f496,f772]) ).

fof(f772,plain,
    ( spl8_109
  <=> e0 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_109])]) ).

fof(f1231,plain,
    ( e0 != op(e3,e4)
    | ~ spl8_48 ),
    inference(backward_demodulation,[],[f207,f498]) ).

fof(f207,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1220,plain,
    ( ~ spl8_68
    | ~ spl8_99 ),
    inference(avatar_contradiction_clause,[],[f1219]) ).

fof(f1219,plain,
    ( $false
    | ~ spl8_68
    | ~ spl8_99 ),
    inference(subsumption_resolution,[],[f1218,f284]) ).

fof(f284,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1218,plain,
    ( e1 = e2
    | ~ spl8_68
    | ~ spl8_99 ),
    inference(forward_demodulation,[],[f1216,f727]) ).

fof(f1216,plain,
    ( e2 = op(e4,e4)
    | ~ spl8_68 ),
    inference(backward_demodulation,[],[f159,f584]) ).

fof(f584,plain,
    ( e4 = op(e2,e2)
    | ~ spl8_68 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f582,plain,
    ( spl8_68
  <=> e4 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_68])]) ).

fof(f1212,plain,
    ( ~ spl8_27
    | ~ spl8_28 ),
    inference(avatar_contradiction_clause,[],[f1211]) ).

fof(f1211,plain,
    ( $false
    | ~ spl8_27
    | ~ spl8_28 ),
    inference(subsumption_resolution,[],[f1210,f289]) ).

fof(f289,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1210,plain,
    ( e0 = e3
    | ~ spl8_27
    | ~ spl8_28 ),
    inference(forward_demodulation,[],[f406,f410]) ).

fof(f406,plain,
    ( e3 = op(e4,e1)
    | ~ spl8_27 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl8_27
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).

fof(f1177,plain,
    ( ~ spl8_26
    | ~ spl8_28 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1176,plain,
    ( $false
    | ~ spl8_26
    | ~ spl8_28 ),
    inference(subsumption_resolution,[],[f1175,f286]) ).

fof(f286,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1175,plain,
    ( e0 = e4
    | ~ spl8_26
    | ~ spl8_28 ),
    inference(backward_demodulation,[],[f402,f410]) ).

fof(f402,plain,
    ( e4 = op(e4,e1)
    | ~ spl8_26 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl8_26
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).

fof(f1159,plain,
    ( ~ spl8_107
    | ~ spl8_106 ),
    inference(avatar_split_clause,[],[f1154,f758,f762]) ).

fof(f762,plain,
    ( spl8_107
  <=> e3 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_107])]) ).

fof(f1154,plain,
    ( e3 != op(e4,e0)
    | ~ spl8_106 ),
    inference(backward_demodulation,[],[f214,f760]) ).

fof(f214,plain,
    op(e0,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1158,plain,
    ( spl8_48
    | ~ spl8_106 ),
    inference(avatar_split_clause,[],[f1152,f758,f496]) ).

fof(f1152,plain,
    ( e0 = op(e3,e3)
    | ~ spl8_106 ),
    inference(backward_demodulation,[],[f165,f760]) ).

fof(f165,plain,
    e0 = op(op(e0,e0),op(e0,e0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1087,plain,
    ( ~ spl8_36
    | ~ spl8_99 ),
    inference(avatar_split_clause,[],[f1077,f725,f443]) ).

fof(f443,plain,
    ( spl8_36
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_36])]) ).

fof(f1077,plain,
    ( e1 != op(e1,e4)
    | ~ spl8_99 ),
    inference(backward_demodulation,[],[f263,f727]) ).

fof(f263,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1086,plain,
    ( spl8_131
    | ~ spl8_99 ),
    inference(avatar_split_clause,[],[f1079,f725,f895]) ).

fof(f1079,plain,
    ( e2 = op(e0,e1)
    | ~ spl8_99 ),
    inference(backward_demodulation,[],[f943,f727]) ).

fof(f943,plain,
    e2 = op(e0,op(e4,e4)),
    inference(forward_demodulation,[],[f152,f154]) ).

fof(f154,plain,
    e0 = op(e4,op(e4,e4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e1 = op(e4,e4)
    & e0 = op(e4,op(e4,e4))
    & e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
    & e2 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f152,plain,
    e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f1085,plain,
    ( ~ spl8_100
    | ~ spl8_99 ),
    inference(avatar_split_clause,[],[f1074,f725,f729]) ).

fof(f729,plain,
    ( spl8_100
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_100])]) ).

fof(f1074,plain,
    ( e1 != op(e4,e3)
    | ~ spl8_99 ),
    inference(backward_demodulation,[],[f223,f727]) ).

fof(f223,plain,
    op(e4,e3) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1084,plain,
    ( ~ spl8_45
    | ~ spl8_99 ),
    inference(avatar_split_clause,[],[f1075,f725,f482]) ).

fof(f482,plain,
    ( spl8_45
  <=> e1 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_45])]) ).

fof(f1075,plain,
    ( e1 != op(e4,e0)
    | ~ spl8_99 ),
    inference(backward_demodulation,[],[f227,f727]) ).

fof(f227,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1082,plain,
    ( ~ spl8_111
    | ~ spl8_99 ),
    inference(avatar_split_clause,[],[f1073,f725,f781]) ).

fof(f781,plain,
    ( spl8_111
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_111])]) ).

fof(f1073,plain,
    ( e1 != op(e3,e4)
    | ~ spl8_99 ),
    inference(backward_demodulation,[],[f218,f727]) ).

fof(f218,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1081,plain,
    ( spl8_28
    | ~ spl8_99 ),
    inference(avatar_split_clause,[],[f1070,f725,f408]) ).

fof(f1070,plain,
    ( e0 = op(e4,e1)
    | ~ spl8_99 ),
    inference(backward_demodulation,[],[f154,f727]) ).

fof(f1080,plain,
    ( spl8_80
    | ~ spl8_99 ),
    inference(avatar_split_clause,[],[f1071,f725,f636]) ).

fof(f1071,plain,
    ( e4 = op(e1,e1)
    | ~ spl8_99 ),
    inference(backward_demodulation,[],[f167,f727]) ).

fof(f167,plain,
    e4 = op(op(e4,e4),op(e4,e4)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1039,plain,
    ( ~ spl8_58
    | ~ spl8_5 ),
    inference(avatar_split_clause,[],[f1029,f308,f540]) ).

fof(f308,plain,
    ( spl8_5
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

fof(f1029,plain,
    ( e1 != op(e3,e1)
    | ~ spl8_5 ),
    inference(backward_demodulation,[],[f194,f310]) ).

fof(f310,plain,
    ( e1 = op(e3,e0)
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f194,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1002,plain,
    ( ~ spl8_58
    | ~ spl8_59 ),
    inference(avatar_split_clause,[],[f997,f544,f540]) ).

fof(f997,plain,
    ( e1 != op(e3,e1)
    | ~ spl8_59 ),
    inference(backward_demodulation,[],[f250,f546]) ).

fof(f965,plain,
    ( ~ spl8_132
    | ~ spl8_32 ),
    inference(avatar_split_clause,[],[f959,f426,f900]) ).

fof(f426,plain,
    ( spl8_32
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).

fof(f959,plain,
    ( e4 != op(e0,e2)
    | ~ spl8_32 ),
    inference(backward_demodulation,[],[f267,f427]) ).

fof(f427,plain,
    ( e4 = op(e0,e4)
    | ~ spl8_32 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f951,plain,
    ( ~ spl8_34
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f102,f487,f435]) ).

fof(f487,plain,
    ( spl8_46
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_46])]) ).

fof(f102,plain,
    ( ~ sP7
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ( e2 != op(e2,e0)
      & e0 != op(e0,e0)
      & e4 != op(e4,e0)
      & e3 != op(e3,e0)
      & e1 != op(e1,e0) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ( e2 != op(e2,e0)
      & e0 != op(e0,e0)
      & e4 != op(e4,e0)
      & e3 != op(e3,e0)
      & e1 != op(e1,e0) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f950,plain,
    ( spl8_129
    | spl8_121
    | spl8_86
    | spl8_68
    | spl8_105 ),
    inference(avatar_split_clause,[],[f36,f753,f582,f664,f833,f880]) ).

fof(f880,plain,
    ( spl8_129
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_129])]) ).

fof(f36,plain,
    ( e0 = op(e2,e2)
    | e4 = op(e2,e2)
    | e1 = op(e2,e2)
    | e3 = op(e2,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e3 = op(e4,e0)
      | e0 = op(e4,e0)
      | e2 = op(e4,e0)
      | e1 = op(e4,e0)
      | e4 = op(e4,e0) )
    & ( e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e4 = op(e0,e1)
      | e1 = op(e0,e1)
      | e0 = op(e0,e1) )
    & ( e4 = op(e2,e4)
      | e2 = op(e2,e4)
      | e1 = op(e2,e4)
      | e3 = op(e2,e4)
      | e0 = op(e2,e4) )
    & ( e0 = op(e2,e1)
      | e1 = op(e2,e1)
      | e2 = op(e2,e1)
      | e4 = op(e2,e1)
      | e3 = op(e2,e1) )
    & ( e3 = op(e0,e3)
      | e1 = op(e0,e3)
      | e4 = op(e0,e3)
      | e0 = op(e0,e3)
      | e2 = op(e0,e3) )
    & ( e0 = op(e4,e2)
      | e1 = op(e4,e2)
      | e4 = op(e4,e2)
      | e2 = op(e4,e2)
      | e3 = op(e4,e2) )
    & ( e4 = op(e2,e3)
      | e0 = op(e2,e3)
      | e1 = op(e2,e3)
      | e3 = op(e2,e3)
      | e2 = op(e2,e3) )
    & ( e0 = op(e3,e2)
      | e3 = op(e3,e2)
      | e4 = op(e3,e2)
      | e2 = op(e3,e2)
      | e1 = op(e3,e2) )
    & ( e0 = op(e0,e4)
      | e2 = op(e0,e4)
      | e1 = op(e0,e4)
      | e4 = op(e0,e4)
      | e3 = op(e0,e4) )
    & ( e1 = op(e3,e4)
      | e3 = op(e3,e4)
      | e4 = op(e3,e4)
      | e0 = op(e3,e4)
      | e2 = op(e3,e4) )
    & ( e3 = op(e1,e0)
      | e1 = op(e1,e0)
      | e4 = op(e1,e0)
      | e2 = op(e1,e0)
      | e0 = op(e1,e0) )
    & ( e1 = op(e1,e1)
      | e4 = op(e1,e1)
      | e2 = op(e1,e1)
      | e0 = op(e1,e1)
      | e3 = op(e1,e1) )
    & ( e1 = op(e4,e1)
      | e2 = op(e4,e1)
      | e4 = op(e4,e1)
      | e0 = op(e4,e1)
      | e3 = op(e4,e1) )
    & ( e1 = op(e1,e3)
      | e0 = op(e1,e3)
      | e4 = op(e1,e3)
      | e2 = op(e1,e3)
      | e3 = op(e1,e3) )
    & ( e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e0 = op(e0,e2)
      | e4 = op(e0,e2)
      | e1 = op(e0,e2) )
    & ( e2 = op(e2,e2)
      | e0 = op(e2,e2)
      | e1 = op(e2,e2)
      | e4 = op(e2,e2)
      | e3 = op(e2,e2) )
    & ( e3 = op(e4,e4)
      | e1 = op(e4,e4)
      | e2 = op(e4,e4)
      | e4 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e0 = op(e3,e0)
      | e4 = op(e3,e0)
      | e2 = op(e3,e0)
      | e3 = op(e3,e0)
      | e1 = op(e3,e0) )
    & ( e3 = op(e1,e4)
      | e2 = op(e1,e4)
      | e0 = op(e1,e4)
      | e4 = op(e1,e4)
      | e1 = op(e1,e4) )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e4
      | e0 = op(e0,e0)
      | op(e0,e0) = e1
      | op(e0,e0) = e2 )
    & ( e4 = op(e2,e0)
      | e0 = op(e2,e0)
      | e3 = op(e2,e0)
      | e1 = op(e2,e0)
      | e2 = op(e2,e0) )
    & ( e2 = op(e3,e3)
      | e1 = op(e3,e3)
      | e4 = op(e3,e3)
      | e3 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e1 = op(e4,e3)
      | e0 = op(e4,e3)
      | e2 = op(e4,e3)
      | e3 = op(e4,e3)
      | e4 = op(e4,e3) )
    & ( e0 = op(e3,e1)
      | e1 = op(e3,e1)
      | e3 = op(e3,e1)
      | e4 = op(e3,e1)
      | e2 = op(e3,e1) )
    & ( e2 = op(e1,e2)
      | e3 = op(e1,e2)
      | e0 = op(e1,e2)
      | e1 = op(e1,e2)
      | e4 = op(e1,e2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f948,plain,
    spl8_99,
    inference(avatar_split_clause,[],[f155,f725]) ).

fof(f155,plain,
    e1 = op(e4,e4),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( spl8_27
    | spl8_130
    | spl8_126
    | spl8_107
    | spl8_122 ),
    inference(avatar_split_clause,[],[f89,f837,f762,f861,f888,f404]) ).

fof(f89,plain,
    ( e3 = op(e4,e2)
    | e3 = op(e4,e0)
    | e3 = op(e4,e4)
    | e3 = op(e4,e3)
    | e3 = op(e4,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e0 = op(e4,e4)
      | e0 = op(e0,e4)
      | e0 = op(e1,e4)
      | e0 = op(e3,e4)
      | e0 = op(e2,e4) )
    & ( e1 = op(e3,e4)
      | e1 = op(e3,e0)
      | e1 = op(e3,e3)
      | e1 = op(e3,e2)
      | e1 = op(e3,e1) )
    & ( e3 = op(e0,e2)
      | op(e0,e0) = e3
      | e3 = op(e0,e3)
      | e3 = op(e0,e1)
      | e3 = op(e0,e4) )
    & ( e1 = op(e1,e4)
      | e1 = op(e1,e1)
      | e1 = op(e1,e3)
      | e1 = op(e1,e0)
      | e1 = op(e1,e2) )
    & ( e3 = op(e1,e1)
      | e3 = op(e1,e2)
      | e3 = op(e1,e0)
      | e3 = op(e1,e4)
      | e3 = op(e1,e3) )
    & ( e0 = op(e1,e2)
      | e0 = op(e1,e4)
      | e0 = op(e1,e1)
      | e0 = op(e1,e3)
      | e0 = op(e1,e0) )
    & ( e4 = op(e0,e2)
      | e4 = op(e1,e2)
      | e4 = op(e3,e2)
      | e4 = op(e4,e2)
      | e4 = op(e2,e2) )
    & ( e2 = op(e4,e2)
      | e2 = op(e0,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e2)
      | e2 = op(e3,e2) )
    & ( e3 = op(e3,e2)
      | e3 = op(e3,e3)
      | e3 = op(e3,e1)
      | e3 = op(e3,e4)
      | e3 = op(e3,e0) )
    & ( e4 = op(e0,e3)
      | e4 = op(e4,e3)
      | e4 = op(e2,e3)
      | e4 = op(e3,e3)
      | e4 = op(e1,e3) )
    & ( e0 = op(e4,e2)
      | e0 = op(e3,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2)
      | e0 = op(e2,e2) )
    & ( e1 = op(e2,e1)
      | e1 = op(e2,e2)
      | e1 = op(e2,e4)
      | e1 = op(e2,e0)
      | e1 = op(e2,e3) )
    & ( e3 = op(e4,e1)
      | e3 = op(e4,e4)
      | e3 = op(e4,e3)
      | e3 = op(e4,e0)
      | e3 = op(e4,e2) )
    & ( e0 = op(e2,e3)
      | e0 = op(e2,e0)
      | e0 = op(e2,e1)
      | e0 = op(e2,e2)
      | e0 = op(e2,e4) )
    & ( e3 = op(e2,e1)
      | e3 = op(e2,e3)
      | e3 = op(e2,e0)
      | e3 = op(e2,e4)
      | e3 = op(e2,e2) )
    & ( e1 = op(e0,e3)
      | e1 = op(e0,e4)
      | e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | op(e0,e0) = e1 )
    & ( e2 = op(e4,e1)
      | e2 = op(e4,e2)
      | e2 = op(e4,e0)
      | e2 = op(e4,e3)
      | e2 = op(e4,e4) )
    & ( e2 = op(e0,e4)
      | op(e0,e0) = e2
      | e2 = op(e0,e1)
      | e2 = op(e0,e2)
      | e2 = op(e0,e3) )
    & ( e0 = op(e3,e4)
      | e0 = op(e3,e0)
      | e0 = op(e3,e2)
      | e0 = op(e3,e1)
      | e0 = op(e3,e3) )
    & ( e1 = op(e2,e3)
      | e1 = op(e3,e3)
      | e1 = op(e4,e3)
      | e1 = op(e0,e3)
      | e1 = op(e1,e3) )
    & ( e2 = op(e0,e4)
      | e2 = op(e3,e4)
      | e2 = op(e1,e4)
      | e2 = op(e2,e4)
      | e2 = op(e4,e4) )
    & ( e1 = op(e1,e4)
      | e1 = op(e0,e4)
      | e1 = op(e3,e4)
      | e1 = op(e2,e4)
      | e1 = op(e4,e4) )
    & ( op(e0,e0) = e2
      | e2 = op(e4,e0)
      | e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0) )
    & ( e2 = op(e2,e4)
      | e2 = op(e2,e0)
      | e2 = op(e2,e3)
      | e2 = op(e2,e1)
      | e2 = op(e2,e2) )
    & ( e1 = op(e2,e0)
      | e1 = op(e4,e0)
      | e1 = op(e3,e0)
      | e1 = op(e1,e0)
      | op(e0,e0) = e1 )
    & ( e4 = op(e0,e2)
      | e4 = op(e0,e4)
      | e4 = op(e0,e3)
      | e4 = op(e0,e1)
      | op(e0,e0) = e4 )
    & ( e2 = op(e3,e1)
      | e2 = op(e2,e1)
      | e2 = op(e0,e1)
      | e2 = op(e4,e1)
      | e2 = op(e1,e1) )
    & ( e3 = op(e3,e0)
      | e3 = op(e2,e0)
      | op(e0,e0) = e3
      | e3 = op(e4,e0)
      | e3 = op(e1,e0) )
    & ( e4 = op(e3,e1)
      | e4 = op(e3,e2)
      | e4 = op(e3,e3)
      | e4 = op(e3,e4)
      | e4 = op(e3,e0) )
    & ( e2 = op(e3,e3)
      | e2 = op(e3,e2)
      | e2 = op(e3,e0)
      | e2 = op(e3,e4)
      | e2 = op(e3,e1) )
    & ( e4 = op(e4,e0)
      | e4 = op(e4,e4)
      | e4 = op(e4,e3)
      | e4 = op(e4,e1)
      | e4 = op(e4,e2) )
    & ( e2 = op(e1,e3)
      | e2 = op(e0,e3)
      | e2 = op(e4,e3)
      | e2 = op(e3,e3)
      | e2 = op(e2,e3) )
    & ( e0 = op(e3,e1)
      | e0 = op(e4,e1)
      | e0 = op(e2,e1)
      | e0 = op(e0,e1)
      | e0 = op(e1,e1) )
    & ( e1 = op(e1,e1)
      | e1 = op(e3,e1)
      | e1 = op(e2,e1)
      | e1 = op(e4,e1)
      | e1 = op(e0,e1) )
    & ( e2 = op(e1,e3)
      | e2 = op(e1,e0)
      | e2 = op(e1,e1)
      | e2 = op(e1,e2)
      | e2 = op(e1,e4) )
    & ( e0 = op(e2,e3)
      | e0 = op(e3,e3)
      | e0 = op(e0,e3)
      | e0 = op(e4,e3)
      | e0 = op(e1,e3) )
    & ( e0 = op(e4,e4)
      | e0 = op(e4,e3)
      | e0 = op(e4,e2)
      | e0 = op(e4,e0)
      | e0 = op(e4,e1) )
    & ( e0 = op(e1,e0)
      | e0 = op(e0,e0)
      | e0 = op(e3,e0)
      | e0 = op(e2,e0)
      | e0 = op(e4,e0) )
    & ( e4 = op(e2,e4)
      | e4 = op(e1,e4)
      | e4 = op(e0,e4)
      | e4 = op(e3,e4)
      | e4 = op(e4,e4) )
    & ( e3 = op(e1,e2)
      | e3 = op(e0,e2)
      | e3 = op(e4,e2)
      | e3 = op(e2,e2)
      | e3 = op(e3,e2) )
    & ( e4 = op(e0,e1)
      | e4 = op(e3,e1)
      | e4 = op(e2,e1)
      | e4 = op(e4,e1)
      | e4 = op(e1,e1) )
    & ( e4 = op(e1,e4)
      | e4 = op(e1,e0)
      | e4 = op(e1,e3)
      | e4 = op(e1,e1)
      | e4 = op(e1,e2) )
    & ( e1 = op(e1,e2)
      | e1 = op(e3,e2)
      | e1 = op(e2,e2)
      | e1 = op(e0,e2)
      | e1 = op(e4,e2) )
    & ( e0 = op(e0,e1)
      | e0 = op(e0,e4)
      | e0 = op(e0,e3)
      | e0 = op(e0,e0)
      | e0 = op(e0,e2) )
    & ( e1 = op(e4,e1)
      | e1 = op(e4,e0)
      | e1 = op(e4,e2)
      | e1 = op(e4,e3)
      | e1 = op(e4,e4) )
    & ( e3 = op(e3,e1)
      | e3 = op(e4,e1)
      | e3 = op(e2,e1)
      | e3 = op(e0,e1)
      | e3 = op(e1,e1) )
    & ( e4 = op(e2,e4)
      | e4 = op(e2,e3)
      | e4 = op(e2,e0)
      | e4 = op(e2,e1)
      | e4 = op(e2,e2) )
    & ( e4 = op(e3,e0)
      | op(e0,e0) = e4
      | e4 = op(e2,e0)
      | e4 = op(e1,e0)
      | e4 = op(e4,e0) )
    & ( e3 = op(e1,e4)
      | e3 = op(e4,e4)
      | e3 = op(e3,e4)
      | e3 = op(e0,e4)
      | e3 = op(e2,e4) )
    & ( e3 = op(e3,e3)
      | e3 = op(e2,e3)
      | e3 = op(e0,e3)
      | e3 = op(e1,e3)
      | e3 = op(e4,e3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f934,plain,
    ( spl8_58
    | spl8_82
    | spl8_116
    | spl8_119
    | spl8_42 ),
    inference(avatar_split_clause,[],[f28,f469,f822,f807,f644,f540]) ).

fof(f28,plain,
    ( e2 = op(e3,e1)
    | e0 = op(e3,e1)
    | e3 = op(e3,e1)
    | e4 = op(e3,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f933,plain,
    ( spl8_114
    | spl8_126
    | spl8_77
    | spl8_133
    | spl8_16 ),
    inference(avatar_split_clause,[],[f53,f356,f912,f622,f861,f797]) ).

fof(f53,plain,
    ( e3 = op(e3,e4)
    | e3 = op(e2,e4)
    | e3 = op(e1,e4)
    | e3 = op(e4,e4)
    | e3 = op(e0,e4) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f931,plain,
    ( ~ spl8_130
    | ~ spl8_70 ),
    inference(avatar_split_clause,[],[f140,f592,f888]) ).

fof(f592,plain,
    ( spl8_70
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_70])]) ).

fof(f140,plain,
    ( ~ sP0
    | e3 != op(e4,e3) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ( e2 != op(e4,e2)
      & e3 != op(e4,e3)
      & e4 != op(e4,e4)
      & e1 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ( e2 != op(e4,e2)
      & e3 != op(e4,e3)
      & e4 != op(e4,e4)
      & e1 != op(e4,e1)
      & e0 != op(e4,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f924,plain,
    ( spl8_57
    | spl8_33
    | spl8_6
    | spl8_70
    | ~ spl8_129 ),
    inference(avatar_split_clause,[],[f143,f880,f592,f313,f430,f535]) ).

fof(f535,plain,
    ( spl8_57
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_57])]) ).

fof(f430,plain,
    ( spl8_33
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).

fof(f313,plain,
    ( spl8_6
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

fof(f143,plain,
    ( e2 != op(e2,e2)
    | sP0
    | sP2
    | sP1
    | sP3 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( ( e2 != op(e2,e1)
        & e1 != op(e1,e1)
        & e3 != op(e3,e1)
        & e4 != op(e4,e1)
        & e0 != op(e0,e1) )
      | sP7
      | sP6
      | sP5
      | sP4 )
    & ( ( e4 != op(e2,e4)
        & e0 != op(e2,e0)
        & e3 != op(e2,e3)
        & e2 != op(e2,e2)
        & e1 != op(e2,e1) )
      | sP3
      | sP2
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f9,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f11,plain,
    ( ( e0 != op(e0,e0)
      & e2 != op(e0,e2)
      & e4 != op(e0,e4)
      & e3 != op(e0,e3)
      & e1 != op(e0,e1) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ( ( e0 != op(e3,e0)
      & e1 != op(e3,e1)
      & e3 != op(e3,e3)
      & e4 != op(e3,e4)
      & e2 != op(e3,e2) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f13,plain,
    ( ( e2 != op(e1,e2)
      & e1 != op(e1,e1)
      & e4 != op(e1,e4)
      & e3 != op(e1,e3)
      & e0 != op(e1,e0) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f14,plain,
    ( ( e3 != op(e3,e2)
      & e0 != op(e0,e2)
      & e4 != op(e4,e2)
      & e1 != op(e1,e2)
      & e2 != op(e2,e2) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f15,plain,
    ( ( e0 != op(e0,e3)
      & e4 != op(e4,e3)
      & e1 != op(e1,e3)
      & e2 != op(e2,e3)
      & e3 != op(e3,e3) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f16,plain,
    ( ( e1 != op(e1,e4)
      & e3 != op(e3,e4)
      & e2 != op(e2,e4)
      & e0 != op(e0,e4)
      & e4 != op(e4,e4) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f9,plain,
    ( ( ( e2 != op(e2,e1)
        & e1 != op(e1,e1)
        & e3 != op(e3,e1)
        & e4 != op(e4,e1)
        & e0 != op(e0,e1) )
      | ( e2 != op(e2,e0)
        & e0 != op(e0,e0)
        & e4 != op(e4,e0)
        & e3 != op(e3,e0)
        & e1 != op(e1,e0) )
      | ( e1 != op(e1,e4)
        & e3 != op(e3,e4)
        & e2 != op(e2,e4)
        & e0 != op(e0,e4)
        & e4 != op(e4,e4) )
      | ( e0 != op(e0,e3)
        & e4 != op(e4,e3)
        & e1 != op(e1,e3)
        & e2 != op(e2,e3)
        & e3 != op(e3,e3) )
      | ( e3 != op(e3,e2)
        & e0 != op(e0,e2)
        & e4 != op(e4,e2)
        & e1 != op(e1,e2)
        & e2 != op(e2,e2) ) )
    & ( ( e4 != op(e2,e4)
        & e0 != op(e2,e0)
        & e3 != op(e2,e3)
        & e2 != op(e2,e2)
        & e1 != op(e2,e1) )
      | ( e2 != op(e1,e2)
        & e1 != op(e1,e1)
        & e4 != op(e1,e4)
        & e3 != op(e1,e3)
        & e0 != op(e1,e0) )
      | ( e0 != op(e3,e0)
        & e1 != op(e3,e1)
        & e3 != op(e3,e3)
        & e4 != op(e3,e4)
        & e2 != op(e3,e2) )
      | ( e0 != op(e0,e0)
        & e2 != op(e0,e2)
        & e4 != op(e0,e4)
        & e3 != op(e0,e3)
        & e1 != op(e0,e1) )
      | ( e2 != op(e4,e2)
        & e3 != op(e4,e3)
        & e4 != op(e4,e4)
        & e1 != op(e4,e1)
        & e0 != op(e4,e0) ) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( ( ( e2 != op(e2,e1)
            & e1 != op(e1,e1)
            & e3 != op(e3,e1)
            & e4 != op(e4,e1)
            & e0 != op(e0,e1) )
          | ( e2 != op(e2,e0)
            & e0 != op(e0,e0)
            & e4 != op(e4,e0)
            & e3 != op(e3,e0)
            & e1 != op(e1,e0) )
          | ( e1 != op(e1,e4)
            & e3 != op(e3,e4)
            & e2 != op(e2,e4)
            & e0 != op(e0,e4)
            & e4 != op(e4,e4) )
          | ( e0 != op(e0,e3)
            & e4 != op(e4,e3)
            & e1 != op(e1,e3)
            & e2 != op(e2,e3)
            & e3 != op(e3,e3) )
          | ( e3 != op(e3,e2)
            & e0 != op(e0,e2)
            & e4 != op(e4,e2)
            & e1 != op(e1,e2)
            & e2 != op(e2,e2) ) )
        & ( ( e4 != op(e2,e4)
            & e0 != op(e2,e0)
            & e3 != op(e2,e3)
            & e2 != op(e2,e2)
            & e1 != op(e2,e1) )
          | ( e2 != op(e1,e2)
            & e1 != op(e1,e1)
            & e4 != op(e1,e4)
            & e3 != op(e1,e3)
            & e0 != op(e1,e0) )
          | ( e0 != op(e3,e0)
            & e1 != op(e3,e1)
            & e3 != op(e3,e3)
            & e4 != op(e3,e4)
            & e2 != op(e3,e2) )
          | ( e0 != op(e0,e0)
            & e2 != op(e0,e2)
            & e4 != op(e0,e4)
            & e3 != op(e0,e3)
            & e1 != op(e0,e1) )
          | ( e2 != op(e4,e2)
            & e3 != op(e4,e3)
            & e4 != op(e4,e4)
            & e1 != op(e4,e1)
            & e0 != op(e4,e0) ) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( ( ( e2 != op(e2,e1)
          & e1 != op(e1,e1)
          & e3 != op(e3,e1)
          & e4 != op(e4,e1)
          & e0 != op(e0,e1) )
        | ( e2 != op(e2,e0)
          & e0 != op(e0,e0)
          & e4 != op(e4,e0)
          & e3 != op(e3,e0)
          & e1 != op(e1,e0) )
        | ( e1 != op(e1,e4)
          & e3 != op(e3,e4)
          & e2 != op(e2,e4)
          & e0 != op(e0,e4)
          & e4 != op(e4,e4) )
        | ( e0 != op(e0,e3)
          & e4 != op(e4,e3)
          & e1 != op(e1,e3)
          & e2 != op(e2,e3)
          & e3 != op(e3,e3) )
        | ( e3 != op(e3,e2)
          & e0 != op(e0,e2)
          & e4 != op(e4,e2)
          & e1 != op(e1,e2)
          & e2 != op(e2,e2) ) )
      & ( ( e4 != op(e2,e4)
          & e0 != op(e2,e0)
          & e3 != op(e2,e3)
          & e2 != op(e2,e2)
          & e1 != op(e2,e1) )
        | ( e2 != op(e1,e2)
          & e1 != op(e1,e1)
          & e4 != op(e1,e4)
          & e3 != op(e1,e3)
          & e0 != op(e1,e0) )
        | ( e0 != op(e3,e0)
          & e1 != op(e3,e1)
          & e3 != op(e3,e3)
          & e4 != op(e3,e4)
          & e2 != op(e3,e2) )
        | ( e0 != op(e0,e0)
          & e2 != op(e0,e2)
          & e4 != op(e0,e4)
          & e3 != op(e0,e3)
          & e1 != op(e0,e1) )
        | ( e2 != op(e4,e2)
          & e3 != op(e4,e3)
          & e4 != op(e4,e4)
          & e1 != op(e4,e1)
          & e0 != op(e4,e0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f919,plain,
    ( spl8_75
    | spl8_12
    | spl8_83
    | spl8_22
    | spl8_56 ),
    inference(avatar_split_clause,[],[f96,f531,f382,f649,f339,f614]) ).

fof(f96,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | e0 = op(e1,e3)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f915,plain,
    ( spl8_72
    | spl8_133
    | spl8_121
    | spl8_118
    | spl8_90 ),
    inference(avatar_split_clause,[],[f87,f682,f816,f833,f912,f601]) ).

fof(f87,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e2,e1)
    | e3 = op(e2,e2)
    | e3 = op(e2,e4)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f903,plain,
    ( spl8_127
    | spl8_84
    | spl8_132
    | spl8_24
    | spl8_68 ),
    inference(avatar_split_clause,[],[f95,f582,f390,f900,f654,f866]) ).

fof(f95,plain,
    ( e4 = op(e2,e2)
    | e4 = op(e1,e2)
    | e4 = op(e0,e2)
    | e4 = op(e3,e2)
    | e4 = op(e4,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f893,plain,
    ( ~ spl8_58
    | ~ spl8_6 ),
    inference(avatar_split_clause,[],[f130,f313,f540]) ).

fof(f130,plain,
    ( ~ sP2
    | e1 != op(e3,e1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ( e0 != op(e3,e0)
      & e1 != op(e3,e1)
      & e3 != op(e3,e3)
      & e4 != op(e3,e4)
      & e2 != op(e3,e2) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f892,plain,
    ( ~ spl8_9
    | ~ spl8_129 ),
    inference(avatar_split_clause,[],[f117,f880,f326]) ).

fof(f326,plain,
    ( spl8_9
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).

fof(f117,plain,
    ( e2 != op(e2,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( ( e3 != op(e3,e2)
      & e0 != op(e0,e2)
      & e4 != op(e4,e2)
      & e1 != op(e1,e2)
      & e2 != op(e2,e2) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f891,plain,
    ( spl8_100
    | spl8_130
    | spl8_102
    | spl8_95
    | spl8_101 ),
    inference(avatar_split_clause,[],[f29,f734,f705,f739,f888,f729]) ).

fof(f29,plain,
    ( e4 = op(e4,e3)
    | e2 = op(e4,e3)
    | e0 = op(e4,e3)
    | e3 = op(e4,e3)
    | e1 = op(e4,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f870,plain,
    ( spl8_109
    | spl8_111
    | spl8_85
    | spl8_16
    | spl8_41 ),
    inference(avatar_split_clause,[],[f42,f465,f356,f658,f781,f772]) ).

fof(f42,plain,
    ( e2 = op(e3,e4)
    | e3 = op(e3,e4)
    | e4 = op(e3,e4)
    | e1 = op(e3,e4)
    | e0 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f869,plain,
    ( spl8_101
    | spl8_26
    | spl8_127
    | spl8_19
    | spl8_93 ),
    inference(avatar_split_clause,[],[f71,f696,f369,f866,f400,f734]) ).

fof(f71,plain,
    ( e4 = op(e4,e4)
    | e4 = op(e4,e0)
    | e4 = op(e4,e2)
    | e4 = op(e4,e1)
    | e4 = op(e4,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f849,plain,
    ( spl8_18
    | spl8_38
    | spl8_56
    | spl8_78
    | spl8_34 ),
    inference(avatar_split_clause,[],[f41,f435,f627,f531,f452,f365]) ).

fof(f41,plain,
    ( e1 = op(e1,e0)
    | e3 = op(e1,e0)
    | e0 = op(e1,e0)
    | e2 = op(e1,e0)
    | e4 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f847,plain,
    ( ~ spl8_61
    | ~ spl8_15 ),
    inference(avatar_split_clause,[],[f108,f352,f553]) ).

fof(f352,plain,
    ( spl8_15
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).

fof(f108,plain,
    ( ~ sP6
    | e0 != op(e0,e4) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ( e1 != op(e1,e4)
      & e3 != op(e3,e4)
      & e2 != op(e2,e4)
      & e0 != op(e0,e4)
      & e4 != op(e4,e4) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f846,plain,
    spl8_106,
    inference(avatar_split_clause,[],[f845,f758]) ).

fof(f845,plain,
    op(e0,e0) = e3,
    inference(forward_demodulation,[],[f153,f154]) ).

fof(f153,plain,
    e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( spl8_9
    | ~ spl8_116
    | spl8_46
    | spl8_69
    | spl8_15 ),
    inference(avatar_split_clause,[],[f149,f352,f587,f487,f807,f326]) ).

fof(f587,plain,
    ( spl8_69
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_69])]) ).

fof(f149,plain,
    ( sP6
    | sP5
    | sP7
    | e3 != op(e3,e1)
    | sP4 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f805,plain,
    ( spl8_45
    | spl8_107
    | spl8_115
    | spl8_19
    | spl8_96 ),
    inference(avatar_split_clause,[],[f51,f709,f369,f802,f762,f482]) ).

fof(f51,plain,
    ( e2 = op(e4,e0)
    | e4 = op(e4,e0)
    | e0 = op(e4,e0)
    | e3 = op(e4,e0)
    | e1 = op(e4,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f800,plain,
    ( spl8_53
    | spl8_98
    | spl8_61
    | spl8_114
    | spl8_32 ),
    inference(avatar_split_clause,[],[f43,f426,f797,f553,f720,f518]) ).

fof(f43,plain,
    ( e4 = op(e0,e4)
    | e3 = op(e0,e4)
    | e0 = op(e0,e4)
    | e2 = op(e0,e4)
    | e1 = op(e0,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f737,plain,
    ( ~ spl8_69
    | ~ spl8_101 ),
    inference(avatar_split_clause,[],[f115,f734,f587]) ).

fof(f115,plain,
    ( e4 != op(e4,e3)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ( e0 != op(e0,e3)
      & e4 != op(e4,e3)
      & e1 != op(e1,e3)
      & e2 != op(e2,e3)
      & e3 != op(e3,e3) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f634,plain,
    ( spl8_78
    | spl8_77
    | spl8_21
    | spl8_10
    | spl8_79 ),
    inference(avatar_split_clause,[],[f97,f631,f331,f378,f622,f627]) ).

fof(f97,plain,
    ( e3 = op(e1,e1)
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e4)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f625,plain,
    ( spl8_36
    | spl8_75
    | spl8_37
    | spl8_76
    | spl8_77 ),
    inference(avatar_split_clause,[],[f33,f622,f618,f448,f614,f443]) ).

fof(f33,plain,
    ( e3 = op(e1,e4)
    | e4 = op(e1,e4)
    | e2 = op(e1,e4)
    | e0 = op(e1,e4)
    | e1 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f538,plain,
    ( ~ spl8_56
    | ~ spl8_57 ),
    inference(avatar_split_clause,[],[f122,f535,f531]) ).

fof(f122,plain,
    ( ~ sP3
    | e0 != op(e1,e0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ( e2 != op(e1,e2)
      & e1 != op(e1,e1)
      & e4 != op(e1,e4)
      & e3 != op(e1,e3)
      & e0 != op(e1,e0) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f485,plain,
    ( spl8_43
    | spl8_44
    | spl8_34
    | spl8_45
    | spl8_5 ),
    inference(avatar_split_clause,[],[f77,f308,f482,f435,f478,f474]) ).

fof(f77,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e4,e0)
    | e1 = op(e1,e0)
    | e1 = op(e2,e0)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f433,plain,
    ( ~ spl8_32
    | ~ spl8_33 ),
    inference(avatar_split_clause,[],[f134,f430,f426]) ).

fof(f134,plain,
    ( ~ sP1
    | e4 != op(e0,e4) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ( e0 != op(e0,e0)
      & e2 != op(e0,e2)
      & e4 != op(e0,e4)
      & e3 != op(e0,e3)
      & e1 != op(e0,e1) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 14:56:21 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.20/0.49  % (17731)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (17731)Instruction limit reached!
% 0.20/0.49  % (17731)------------------------------
% 0.20/0.49  % (17731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (17748)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.50  % (17721)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50  % (17740)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.50  % (17731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (17731)Termination reason: Unknown
% 0.20/0.50  % (17731)Termination phase: Property scanning
% 0.20/0.50  
% 0.20/0.50  % (17731)Memory used [KB]: 1535
% 0.20/0.50  % (17731)Time elapsed: 0.005 s
% 0.20/0.50  % (17731)Instructions burned: 7 (million)
% 0.20/0.50  % (17731)------------------------------
% 0.20/0.50  % (17731)------------------------------
% 0.20/0.51  % (17748)Instruction limit reached!
% 0.20/0.51  % (17748)------------------------------
% 0.20/0.51  % (17748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (17748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (17748)Termination reason: Unknown
% 0.20/0.51  % (17748)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (17748)Memory used [KB]: 1663
% 0.20/0.51  % (17748)Time elapsed: 0.009 s
% 0.20/0.51  % (17748)Instructions burned: 9 (million)
% 0.20/0.51  % (17748)------------------------------
% 0.20/0.51  % (17748)------------------------------
% 0.20/0.52  % (17742)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52  % (17739)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52  % (17720)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53  % (17721)Instruction limit reached!
% 0.20/0.53  % (17721)------------------------------
% 0.20/0.53  % (17721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17721)Termination reason: Unknown
% 0.20/0.53  % (17721)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (17721)Memory used [KB]: 1791
% 0.20/0.53  % (17721)Time elapsed: 0.008 s
% 0.20/0.53  % (17721)Instructions burned: 14 (million)
% 0.20/0.53  % (17721)------------------------------
% 0.20/0.53  % (17721)------------------------------
% 0.20/0.53  % (17740)Refutation not found, incomplete strategy% (17740)------------------------------
% 0.20/0.53  % (17740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17728)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (17740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17740)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (17740)Memory used [KB]: 6780
% 0.20/0.53  % (17740)Time elapsed: 0.127 s
% 0.20/0.53  % (17740)Instructions burned: 28 (million)
% 0.20/0.53  % (17740)------------------------------
% 0.20/0.53  % (17740)------------------------------
% 0.20/0.53  % (17724)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (17725)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53  % (17722)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (17733)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (17734)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (17734)Instruction limit reached!
% 0.20/0.53  % (17734)------------------------------
% 0.20/0.53  % (17734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17734)Termination reason: Unknown
% 0.20/0.53  % (17734)Termination phase: Naming
% 0.20/0.53  
% 0.20/0.53  % (17734)Memory used [KB]: 1535
% 0.20/0.53  % (17734)Time elapsed: 0.002 s
% 0.20/0.53  % (17734)Instructions burned: 3 (million)
% 0.20/0.53  % (17734)------------------------------
% 0.20/0.53  % (17734)------------------------------
% 0.20/0.53  % (17732)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53  % (17729)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54  % (17723)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (17726)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (17739)Instruction limit reached!
% 0.20/0.54  % (17739)------------------------------
% 0.20/0.54  % (17739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (17739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (17739)Termination reason: Unknown
% 0.20/0.54  % (17739)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (17739)Memory used [KB]: 1663
% 0.20/0.54  % (17739)Time elapsed: 0.006 s
% 0.20/0.54  % (17739)Instructions burned: 12 (million)
% 0.20/0.54  % (17739)------------------------------
% 0.20/0.54  % (17739)------------------------------
% 0.20/0.54  % (17730)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (17749)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54  % (17745)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54  % (17730)Instruction limit reached!
% 0.20/0.54  % (17730)------------------------------
% 0.20/0.54  % (17730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (17730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (17730)Termination reason: Unknown
% 0.20/0.54  % (17730)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (17730)Memory used [KB]: 1663
% 0.20/0.54  % (17730)Time elapsed: 0.006 s
% 0.20/0.54  % (17730)Instructions burned: 13 (million)
% 0.20/0.54  % (17730)------------------------------
% 0.20/0.54  % (17730)------------------------------
% 0.20/0.54  % (17743)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.55  % (17746)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (17741)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (17736)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (17738)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (17737)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (17735)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (17738)Instruction limit reached!
% 0.20/0.55  % (17738)------------------------------
% 0.20/0.55  % (17738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (17738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (17738)Termination reason: Unknown
% 0.20/0.55  % (17738)Termination phase: SInE selection
% 0.20/0.55  
% 0.20/0.55  % (17738)Memory used [KB]: 1407
% 0.20/0.55  % (17738)Time elapsed: 0.002 s
% 0.20/0.55  % (17738)Instructions burned: 2 (million)
% 0.20/0.55  % (17738)------------------------------
% 0.20/0.55  % (17738)------------------------------
% 0.20/0.55  % (17737)Instruction limit reached!
% 0.20/0.55  % (17737)------------------------------
% 0.20/0.55  % (17737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (17737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (17737)Termination reason: Unknown
% 0.20/0.55  % (17737)Termination phase: Preprocessing 3
% 0.20/0.55  
% 0.20/0.55  % (17737)Memory used [KB]: 1535
% 0.20/0.55  % (17737)Time elapsed: 0.002 s
% 0.20/0.55  % (17737)Instructions burned: 3 (million)
% 0.20/0.55  % (17737)------------------------------
% 0.20/0.55  % (17737)------------------------------
% 0.20/0.55  % (17722)Instruction limit reached!
% 0.20/0.55  % (17722)------------------------------
% 0.20/0.55  % (17722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (17722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (17722)Termination reason: Unknown
% 0.20/0.55  % (17722)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (17722)Memory used [KB]: 1535
% 0.20/0.55  % (17722)Time elapsed: 0.003 s
% 0.20/0.55  % (17722)Instructions burned: 3 (million)
% 0.20/0.55  % (17722)------------------------------
% 0.20/0.55  % (17722)------------------------------
% 0.20/0.55  % (17727)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56  % (17724)Instruction limit reached!
% 0.20/0.56  % (17724)------------------------------
% 0.20/0.56  % (17724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (17724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (17724)Termination reason: Unknown
% 0.20/0.56  % (17724)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (17724)Memory used [KB]: 2686
% 0.20/0.56  % (17724)Time elapsed: 0.007 s
% 0.20/0.56  % (17724)Instructions burned: 14 (million)
% 0.20/0.56  % (17724)------------------------------
% 0.20/0.56  % (17724)------------------------------
% 0.20/0.56  % (17732)Instruction limit reached!
% 0.20/0.56  % (17732)------------------------------
% 0.20/0.56  % (17732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (17732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (17732)Termination reason: Unknown
% 0.20/0.56  % (17732)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (17732)Memory used [KB]: 1791
% 0.20/0.56  % (17732)Time elapsed: 0.008 s
% 0.20/0.56  % (17732)Instructions burned: 16 (million)
% 0.20/0.56  % (17732)------------------------------
% 0.20/0.56  % (17732)------------------------------
% 0.20/0.56  % (17747)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56  % (17725)Instruction limit reached!
% 0.20/0.56  % (17725)------------------------------
% 0.20/0.56  % (17725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (17725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (17725)Termination reason: Unknown
% 0.20/0.56  % (17725)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (17725)Memory used [KB]: 1791
% 0.20/0.56  % (17725)Time elapsed: 0.156 s
% 0.20/0.56  % (17725)Instructions burned: 16 (million)
% 0.20/0.56  % (17725)------------------------------
% 0.20/0.56  % (17725)------------------------------
% 0.20/0.57  % (17749)Instruction limit reached!
% 0.20/0.57  % (17749)------------------------------
% 0.20/0.57  % (17749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (17749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (17749)Termination reason: Unknown
% 0.20/0.57  % (17749)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (17749)Memory used [KB]: 2686
% 0.20/0.57  % (17749)Time elapsed: 0.010 s
% 0.20/0.57  % (17749)Instructions burned: 24 (million)
% 0.20/0.57  % (17749)------------------------------
% 0.20/0.57  % (17749)------------------------------
% 0.20/0.57  % (17744)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (17735)Instruction limit reached!
% 0.20/0.57  % (17735)------------------------------
% 0.20/0.57  % (17735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (17735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (17735)Termination reason: Unknown
% 0.20/0.57  % (17735)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (17735)Memory used [KB]: 6140
% 0.20/0.57  % (17735)Time elapsed: 0.005 s
% 0.20/0.57  % (17735)Instructions burned: 8 (million)
% 0.20/0.57  % (17735)------------------------------
% 0.20/0.57  % (17735)------------------------------
% 0.20/0.58  % (17729)Instruction limit reached!
% 0.20/0.58  % (17729)------------------------------
% 0.20/0.58  % (17729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (17729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (17729)Termination reason: Unknown
% 0.20/0.58  % (17729)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (17729)Memory used [KB]: 6780
% 0.20/0.58  % (17729)Time elapsed: 0.163 s
% 0.20/0.58  % (17729)Instructions burned: 34 (million)
% 0.20/0.58  % (17729)------------------------------
% 0.20/0.58  % (17729)------------------------------
% 1.83/0.58  % (17743)Refutation not found, incomplete strategy% (17743)------------------------------
% 1.83/0.58  % (17743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.58  % (17743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.58  % (17743)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.58  
% 1.83/0.58  % (17743)Memory used [KB]: 2046
% 1.83/0.58  % (17743)Time elapsed: 0.173 s
% 1.83/0.58  % (17743)Instructions burned: 24 (million)
% 1.83/0.58  % (17743)------------------------------
% 1.83/0.58  % (17743)------------------------------
% 1.83/0.59  % (17747)Instruction limit reached!
% 1.83/0.59  % (17747)------------------------------
% 1.83/0.59  % (17747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (17728)Instruction limit reached!
% 1.83/0.59  % (17728)------------------------------
% 1.83/0.59  % (17728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (17747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (17728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (17747)Termination reason: Unknown
% 1.83/0.59  % (17728)Termination reason: Unknown
% 1.83/0.59  % (17728)Termination phase: Saturation
% 1.83/0.59  % (17747)Termination phase: Saturation
% 1.83/0.59  
% 1.83/0.59  
% 1.83/0.59  % (17728)Memory used [KB]: 6908
% 1.83/0.59  % (17747)Memory used [KB]: 6524
% 1.83/0.59  % (17728)Time elapsed: 0.179 s
% 1.83/0.59  % (17747)Time elapsed: 0.191 s
% 1.83/0.59  % (17728)Instructions burned: 49 (million)
% 1.83/0.59  % (17747)Instructions burned: 26 (million)
% 1.83/0.59  % (17728)------------------------------
% 1.83/0.59  % (17728)------------------------------
% 1.83/0.59  % (17747)------------------------------
% 1.83/0.59  % (17747)------------------------------
% 1.83/0.60  % (17726)Instruction limit reached!
% 1.83/0.60  % (17726)------------------------------
% 1.83/0.60  % (17726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60  % (17726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60  % (17726)Termination reason: Unknown
% 1.83/0.60  % (17726)Termination phase: Saturation
% 1.83/0.60  
% 1.83/0.60  % (17726)Memory used [KB]: 6652
% 1.83/0.60  % (17726)Time elapsed: 0.174 s
% 1.83/0.60  % (17726)Instructions burned: 41 (million)
% 1.83/0.60  % (17726)------------------------------
% 1.83/0.60  % (17726)------------------------------
% 1.99/0.60  % (17744)Refutation not found, incomplete strategy% (17744)------------------------------
% 1.99/0.60  % (17744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60  % (17744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60  % (17744)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.60  
% 1.99/0.60  % (17744)Memory used [KB]: 6652
% 1.99/0.60  % (17744)Time elapsed: 0.201 s
% 1.99/0.60  % (17744)Instructions burned: 24 (million)
% 1.99/0.60  % (17744)------------------------------
% 1.99/0.60  % (17744)------------------------------
% 1.99/0.61  % (17733)Instruction limit reached!
% 1.99/0.61  % (17733)------------------------------
% 1.99/0.61  % (17733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61  % (17733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61  % (17733)Termination reason: Unknown
% 1.99/0.61  % (17733)Termination phase: Saturation
% 1.99/0.61  
% 1.99/0.61  % (17733)Memory used [KB]: 6908
% 1.99/0.61  % (17733)Time elapsed: 0.028 s
% 1.99/0.61  % (17733)Instructions burned: 53 (million)
% 1.99/0.61  % (17733)------------------------------
% 1.99/0.61  % (17733)------------------------------
% 1.99/0.61  % (17727)Instruction limit reached!
% 1.99/0.61  % (17727)------------------------------
% 1.99/0.61  % (17727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61  % (17727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61  % (17727)Termination reason: Unknown
% 1.99/0.61  % (17727)Termination phase: Saturation
% 1.99/0.61  
% 1.99/0.61  % (17727)Memory used [KB]: 6780
% 1.99/0.61  % (17727)Time elapsed: 0.197 s
% 1.99/0.61  % (17727)Instructions burned: 39 (million)
% 1.99/0.61  % (17727)------------------------------
% 1.99/0.61  % (17727)------------------------------
% 1.99/0.62  % (17742)Instruction limit reached!
% 1.99/0.62  % (17742)------------------------------
% 1.99/0.62  % (17742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (17742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62  % (17742)Termination reason: Unknown
% 1.99/0.62  % (17742)Termination phase: Property scanning
% 1.99/0.62  
% 1.99/0.62  % (17742)Memory used [KB]: 2686
% 1.99/0.62  % (17742)Time elapsed: 0.028 s
% 1.99/0.62  % (17742)Instructions burned: 82 (million)
% 1.99/0.62  % (17742)------------------------------
% 1.99/0.62  % (17742)------------------------------
% 1.99/0.62  % (17723)Instruction limit reached!
% 1.99/0.62  % (17723)------------------------------
% 1.99/0.62  % (17723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (17723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62  % (17723)Termination reason: Unknown
% 1.99/0.62  % (17723)Termination phase: Saturation
% 1.99/0.62  
% 1.99/0.62  % (17723)Memory used [KB]: 6908
% 1.99/0.62  % (17723)Time elapsed: 0.182 s
% 1.99/0.62  % (17723)Instructions burned: 52 (million)
% 1.99/0.62  % (17723)------------------------------
% 1.99/0.62  % (17723)------------------------------
% 1.99/0.63  % (17752)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.24/0.64  % (17750)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.24/0.64  % (17753)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.24/0.64  % (17745)First to succeed.
% 2.24/0.64  % (17752)Instruction limit reached!
% 2.24/0.64  % (17752)------------------------------
% 2.24/0.64  % (17752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64  % (17736)Instruction limit reached!
% 2.24/0.64  % (17736)------------------------------
% 2.24/0.64  % (17736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64  % (17736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.64  % (17736)Termination reason: Unknown
% 2.24/0.64  % (17736)Termination phase: Saturation
% 2.24/0.64  
% 2.24/0.64  % (17736)Memory used [KB]: 7036
% 2.24/0.64  % (17736)Time elapsed: 0.212 s
% 2.24/0.64  % (17736)Instructions burned: 51 (million)
% 2.24/0.64  % (17736)------------------------------
% 2.24/0.64  % (17736)------------------------------
% 2.24/0.65  % (17745)Refutation found. Thanks to Tanya!
% 2.24/0.65  % SZS status Theorem for theBenchmark
% 2.24/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.24/0.65  % (17745)------------------------------
% 2.24/0.65  % (17745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.65  % (17745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65  % (17745)Termination reason: Refutation
% 2.24/0.65  
% 2.24/0.65  % (17745)Memory used [KB]: 7291
% 2.24/0.65  % (17745)Time elapsed: 0.031 s
% 2.24/0.65  % (17745)Instructions burned: 49 (million)
% 2.24/0.65  % (17745)------------------------------
% 2.24/0.65  % (17745)------------------------------
% 2.24/0.65  % (17719)Success in time 0.312 s
%------------------------------------------------------------------------------