TSTP Solution File: ALG065+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG065+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 : n028.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 15:39:20 EDT 2022

% Result   : Theorem 2.03s 0.61s
% Output   : Refutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   97
% Syntax   : Number of formulae    :  390 (  49 unt;   0 def)
%            Number of atoms       : 1750 (1233 equ)
%            Maximal formula atoms :  250 (   4 avg)
%            Number of connectives : 2063 ( 703   ~; 869   |; 411   &)
%                                         (  80 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   92 (  90 usr;  91 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2822,plain,
    $false,
    inference(avatar_sat_refutation,[],[f481,f533,f584,f619,f646,f715,f729,f811,f864,f883,f884,f917,f964,f969,f988,f998,f1016,f1033,f1074,f1116,f1124,f1136,f1142,f1148,f1152,f1160,f1208,f1212,f1241,f1261,f1290,f1319,f1420,f1465,f1474,f1482,f1526,f1568,f1570,f1588,f1632,f1721,f1748,f1759,f1765,f1841,f1854,f1855,f1877,f1893,f1910,f1984,f1991,f2014,f2022,f2035,f2047,f2095,f2122,f2163,f2168,f2173,f2210,f2238,f2267,f2284,f2300,f2331,f2393,f2426,f2443,f2449,f2471,f2492,f2521,f2604,f2637,f2660,f2685,f2749,f2792,f2801]) ).

fof(f2801,plain,
    ( ~ spl10_153
    | ~ spl10_73 ),
    inference(avatar_split_clause,[],[f2800,f625,f995]) ).

fof(f995,plain,
    ( spl10_153
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_153])]) ).

fof(f625,plain,
    ( spl10_73
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_73])]) ).

fof(f2800,plain,
    ( e4 != op(e4,e4)
    | ~ spl10_73 ),
    inference(backward_demodulation,[],[f131,f627]) ).

fof(f627,plain,
    ( e4 = op(e0,e4)
    | ~ spl10_73 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f131,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f2792,plain,
    ( ~ spl10_27
    | ~ spl10_183 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2791,plain,
    ( $false
    | ~ spl10_27
    | ~ spl10_183 ),
    inference(subsumption_resolution,[],[f2790,f293]) ).

fof(f293,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

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

fof(f2790,plain,
    ( e0 = e3
    | ~ spl10_27
    | ~ spl10_183 ),
    inference(forward_demodulation,[],[f2565,f428]) ).

fof(f428,plain,
    ( e0 = op(e0,e3)
    | ~ spl10_27 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl10_27
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).

fof(f2565,plain,
    ( e3 = op(e0,e3)
    | ~ spl10_183 ),
    inference(backward_demodulation,[],[f309,f1199]) ).

fof(f1199,plain,
    ( e0 = unit
    | ~ spl10_183 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1197,plain,
    ( spl10_183
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_183])]) ).

fof(f309,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f2749,plain,
    ( spl10_73
    | ~ spl10_183 ),
    inference(avatar_split_clause,[],[f2564,f1197,f625]) ).

fof(f2564,plain,
    ( e4 = op(e0,e4)
    | ~ spl10_183 ),
    inference(backward_demodulation,[],[f307,f1199]) ).

fof(f307,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2685,plain,
    ( ~ spl10_155
    | ~ spl10_35 ),
    inference(avatar_split_clause,[],[f2683,f462,f1004]) ).

fof(f1004,plain,
    ( spl10_155
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_155])]) ).

fof(f462,plain,
    ( spl10_35
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_35])]) ).

fof(f2683,plain,
    ( e0 != op(e3,e2)
    | ~ spl10_35 ),
    inference(backward_demodulation,[],[f151,f464]) ).

fof(f464,plain,
    ( e0 = op(e3,e3)
    | ~ spl10_35 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f151,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2660,plain,
    ( ~ spl10_2
    | ~ spl10_95 ),
    inference(avatar_split_clause,[],[f2659,f722,f320]) ).

fof(f320,plain,
    ( spl10_2
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f722,plain,
    ( spl10_95
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_95])]) ).

fof(f2659,plain,
    ( e3 != op(e4,e3)
    | ~ spl10_95 ),
    inference(forward_demodulation,[],[f159,f724]) ).

fof(f724,plain,
    ( e3 = op(e0,e3)
    | ~ spl10_95 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f159,plain,
    op(e0,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2637,plain,
    ( ~ spl10_152
    | ~ spl10_151 ),
    inference(avatar_split_clause,[],[f2636,f985,f990]) ).

fof(f990,plain,
    ( spl10_152
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_152])]) ).

fof(f985,plain,
    ( spl10_151
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_151])]) ).

fof(f2636,plain,
    ( e3 != op(e3,e2)
    | ~ spl10_151 ),
    inference(backward_demodulation,[],[f81,f987]) ).

fof(f987,plain,
    ( e3 = op(e1,e2)
    | ~ spl10_151 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f81,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2604,plain,
    ( ~ spl10_40
    | ~ spl10_160
    | ~ spl10_162 ),
    inference(avatar_contradiction_clause,[],[f2603]) ).

fof(f2603,plain,
    ( $false
    | ~ spl10_40
    | ~ spl10_160
    | ~ spl10_162 ),
    inference(subsumption_resolution,[],[f2602,f296]) ).

fof(f296,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2602,plain,
    ( e1 = e4
    | ~ spl10_40
    | ~ spl10_160
    | ~ spl10_162 ),
    inference(forward_demodulation,[],[f1972,f1032]) ).

fof(f1032,plain,
    ( e1 = op(e2,e3)
    | ~ spl10_160 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1030,plain,
    ( spl10_160
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_160])]) ).

fof(f1972,plain,
    ( e4 = op(e2,e3)
    | ~ spl10_40
    | ~ spl10_162 ),
    inference(forward_demodulation,[],[f1046,f485]) ).

fof(f485,plain,
    ( e3 = op(e2,e4)
    | ~ spl10_40 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f483,plain,
    ( spl10_40
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_40])]) ).

fof(f1046,plain,
    ( e4 = op(e2,op(e2,e4))
    | ~ spl10_162 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1045,plain,
    ( spl10_162
  <=> e4 = op(e2,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_162])]) ).

fof(f2521,plain,
    ( ~ spl10_38
    | ~ spl10_126 ),
    inference(avatar_split_clause,[],[f2520,f861,f474]) ).

fof(f474,plain,
    ( spl10_38
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_38])]) ).

fof(f861,plain,
    ( spl10_126
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_126])]) ).

fof(f2520,plain,
    ( e2 != op(e3,e3)
    | ~ spl10_126 ),
    inference(forward_demodulation,[],[f170,f863]) ).

fof(f863,plain,
    ( e2 = op(e3,e1)
    | ~ spl10_126 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f170,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2492,plain,
    ( ~ spl10_46
    | ~ spl10_159 ),
    inference(avatar_split_clause,[],[f2491,f1026,f509]) ).

fof(f509,plain,
    ( spl10_46
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_46])]) ).

fof(f1026,plain,
    ( spl10_159
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_159])]) ).

fof(f2491,plain,
    ( e1 != op(e0,e1)
    | ~ spl10_159 ),
    inference(forward_demodulation,[],[f140,f1028]) ).

fof(f1028,plain,
    ( e1 = op(e2,e1)
    | ~ spl10_159 ),
    inference(avatar_component_clause,[],[f1026]) ).

fof(f140,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2471,plain,
    ( ~ spl10_39
    | ~ spl10_95 ),
    inference(avatar_split_clause,[],[f2470,f722,f478]) ).

fof(f478,plain,
    ( spl10_39
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_39])]) ).

fof(f2470,plain,
    ( e3 != op(e3,e3)
    | ~ spl10_95 ),
    inference(forward_demodulation,[],[f155,f724]) ).

fof(f155,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2449,plain,
    ( ~ spl10_133
    | ~ spl10_93 ),
    inference(avatar_split_clause,[],[f2448,f712,f894]) ).

fof(f894,plain,
    ( spl10_133
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_133])]) ).

fof(f712,plain,
    ( spl10_93
  <=> e0 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_93])]) ).

fof(f2448,plain,
    ( e0 != op(e4,e4)
    | ~ spl10_93 ),
    inference(forward_demodulation,[],[f106,f714]) ).

fof(f714,plain,
    ( e0 = op(e4,e3)
    | ~ spl10_93 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f106,plain,
    op(e4,e3) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2443,plain,
    ( ~ spl10_160
    | ~ spl10_36 ),
    inference(avatar_split_clause,[],[f2442,f466,f1030]) ).

fof(f466,plain,
    ( spl10_36
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_36])]) ).

fof(f2442,plain,
    ( e1 != op(e2,e3)
    | ~ spl10_36 ),
    inference(forward_demodulation,[],[f142,f468]) ).

fof(f468,plain,
    ( e1 = op(e3,e3)
    | ~ spl10_36 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f142,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2426,plain,
    ( spl10_76
    | ~ spl10_184 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

fof(f2425,plain,
    ( $false
    | spl10_76
    | ~ spl10_184 ),
    inference(subsumption_resolution,[],[f2424,f639]) ).

fof(f639,plain,
    ( e1 != op(e1,e3)
    | spl10_76 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f638,plain,
    ( spl10_76
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_76])]) ).

fof(f2424,plain,
    ( e1 = op(e1,e3)
    | ~ spl10_184 ),
    inference(forward_demodulation,[],[f304,f1203]) ).

fof(f1203,plain,
    ( e3 = unit
    | ~ spl10_184 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f1201,plain,
    ( spl10_184
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_184])]) ).

fof(f304,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2393,plain,
    ( ~ spl10_166
    | ~ spl10_124 ),
    inference(avatar_split_clause,[],[f2392,f852,f1070]) ).

fof(f1070,plain,
    ( spl10_166
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_166])]) ).

fof(f852,plain,
    ( spl10_124
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_124])]) ).

fof(f2392,plain,
    ( e4 != op(e2,e1)
    | ~ spl10_124 ),
    inference(forward_demodulation,[],[f118,f854]) ).

fof(f854,plain,
    ( e4 = op(e4,e1)
    | ~ spl10_124 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f118,plain,
    op(e2,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2331,plain,
    ( ~ spl10_126
    | ~ spl10_149 ),
    inference(avatar_contradiction_clause,[],[f2330]) ).

fof(f2330,plain,
    ( $false
    | ~ spl10_126
    | ~ spl10_149 ),
    inference(subsumption_resolution,[],[f2329,f295]) ).

fof(f295,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2329,plain,
    ( e2 = e3
    | ~ spl10_126
    | ~ spl10_149 ),
    inference(backward_demodulation,[],[f977,f863]) ).

fof(f977,plain,
    ( e3 = op(e3,e1)
    | ~ spl10_149 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f975,plain,
    ( spl10_149
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_149])]) ).

fof(f2300,plain,
    ( ~ spl10_47
    | ~ spl10_58 ),
    inference(avatar_split_clause,[],[f2299,f560,f513]) ).

fof(f513,plain,
    ( spl10_47
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_47])]) ).

fof(f560,plain,
    ( spl10_58
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_58])]) ).

fof(f2299,plain,
    ( e2 != op(e0,e1)
    | ~ spl10_58 ),
    inference(forward_demodulation,[],[f124,f562]) ).

fof(f562,plain,
    ( e2 = op(e0,e2)
    | ~ spl10_58 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f124,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2284,plain,
    ( ~ spl10_15
    | ~ spl10_62
    | spl10_140 ),
    inference(avatar_contradiction_clause,[],[f2283]) ).

fof(f2283,plain,
    ( $false
    | ~ spl10_15
    | ~ spl10_62
    | spl10_140 ),
    inference(subsumption_resolution,[],[f2280,f579]) ).

fof(f579,plain,
    ( e0 = op(e2,e2)
    | ~ spl10_62 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl10_62
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_62])]) ).

fof(f2280,plain,
    ( e0 != op(e2,e2)
    | ~ spl10_15
    | spl10_140 ),
    inference(backward_demodulation,[],[f930,f376]) ).

fof(f376,plain,
    ( e2 = op(e2,e0)
    | ~ spl10_15 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f374,plain,
    ( spl10_15
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).

fof(f930,plain,
    ( e0 != op(e2,op(e2,e0))
    | spl10_140 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl10_140
  <=> e0 = op(e2,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_140])]) ).

fof(f2267,plain,
    ( ~ spl10_35
    | spl10_142
    | ~ spl10_146 ),
    inference(avatar_contradiction_clause,[],[f2266]) ).

fof(f2266,plain,
    ( $false
    | ~ spl10_35
    | spl10_142
    | ~ spl10_146 ),
    inference(subsumption_resolution,[],[f2265,f464]) ).

fof(f2265,plain,
    ( e0 != op(e3,e3)
    | spl10_142
    | ~ spl10_146 ),
    inference(forward_demodulation,[],[f939,f961]) ).

fof(f961,plain,
    ( e3 = op(e3,e0)
    | ~ spl10_146 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f959,plain,
    ( spl10_146
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_146])]) ).

fof(f939,plain,
    ( e0 != op(e3,op(e3,e0))
    | spl10_142 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f937,plain,
    ( spl10_142
  <=> e0 = op(e3,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_142])]) ).

fof(f2238,plain,
    ( ~ spl10_157
    | ~ spl10_165 ),
    inference(avatar_split_clause,[],[f2237,f1064,f1013]) ).

fof(f1013,plain,
    ( spl10_157
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_157])]) ).

fof(f1064,plain,
    ( spl10_165
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_165])]) ).

fof(f2237,plain,
    ( e0 != op(e1,e2)
    | ~ spl10_165 ),
    inference(forward_demodulation,[],[f152,f1066]) ).

fof(f1066,plain,
    ( e0 = op(e1,e1)
    | ~ spl10_165 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f152,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2210,plain,
    ( ~ spl10_31
    | ~ spl10_185 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl10_31
    | ~ spl10_185 ),
    inference(subsumption_resolution,[],[f2208,f300]) ).

fof(f300,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2208,plain,
    ( e1 = e2
    | ~ spl10_31
    | ~ spl10_185 ),
    inference(forward_demodulation,[],[f2201,f445]) ).

fof(f445,plain,
    ( e1 = op(e4,e2)
    | ~ spl10_31 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl10_31
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).

fof(f2201,plain,
    ( e2 = op(e4,e2)
    | ~ spl10_185 ),
    inference(backward_demodulation,[],[f302,f1207]) ).

fof(f1207,plain,
    ( e4 = unit
    | ~ spl10_185 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f1205,plain,
    ( spl10_185
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_185])]) ).

fof(f302,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2173,plain,
    ( ~ spl10_40
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f2172]) ).

fof(f2172,plain,
    ( $false
    | ~ spl10_40
    | ~ spl10_130 ),
    inference(subsumption_resolution,[],[f2171,f291]) ).

fof(f291,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2171,plain,
    ( e1 = e3
    | ~ spl10_40
    | ~ spl10_130 ),
    inference(backward_demodulation,[],[f485,f881]) ).

fof(f881,plain,
    ( e1 = op(e2,e4)
    | ~ spl10_130 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f879,plain,
    ( spl10_130
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_130])]) ).

fof(f2168,plain,
    ( ~ spl10_101
    | ~ spl10_113 ),
    inference(avatar_contradiction_clause,[],[f2167]) ).

fof(f2167,plain,
    ( $false
    | ~ spl10_101
    | ~ spl10_113 ),
    inference(subsumption_resolution,[],[f2166,f298]) ).

fof(f298,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2166,plain,
    ( e3 = e4
    | ~ spl10_101
    | ~ spl10_113 ),
    inference(forward_demodulation,[],[f806,f751]) ).

fof(f751,plain,
    ( e3 = op(e1,e3)
    | ~ spl10_101 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f749,plain,
    ( spl10_101
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_101])]) ).

fof(f806,plain,
    ( e4 = op(e1,e3)
    | ~ spl10_113 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f804,plain,
    ( spl10_113
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_113])]) ).

fof(f2163,plain,
    ( ~ spl10_13
    | ~ spl10_24 ),
    inference(avatar_split_clause,[],[f2162,f413,f366]) ).

fof(f366,plain,
    ( spl10_13
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f413,plain,
    ( spl10_24
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).

fof(f2162,plain,
    ( e1 != op(e2,e0)
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f148,f415]) ).

fof(f415,plain,
    ( e1 = op(e1,e0)
    | ~ spl10_24 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f148,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2122,plain,
    ( spl10_46
    | ~ spl10_183 ),
    inference(avatar_contradiction_clause,[],[f2121]) ).

fof(f2121,plain,
    ( $false
    | spl10_46
    | ~ spl10_183 ),
    inference(subsumption_resolution,[],[f2120,f510]) ).

fof(f510,plain,
    ( e1 != op(e0,e1)
    | spl10_46 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f2120,plain,
    ( e1 = op(e0,e1)
    | ~ spl10_183 ),
    inference(forward_demodulation,[],[f306,f1199]) ).

fof(f306,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2095,plain,
    ( ~ spl10_96
    | ~ spl10_183 ),
    inference(avatar_contradiction_clause,[],[f2094]) ).

fof(f2094,plain,
    ( $false
    | ~ spl10_96
    | ~ spl10_183 ),
    inference(subsumption_resolution,[],[f2093,f291]) ).

fof(f2093,plain,
    ( e1 = e3
    | ~ spl10_96
    | ~ spl10_183 ),
    inference(forward_demodulation,[],[f2092,f728]) ).

fof(f728,plain,
    ( e1 = op(e0,e3)
    | ~ spl10_96 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl10_96
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_96])]) ).

fof(f2092,plain,
    ( e3 = op(e0,e3)
    | ~ spl10_183 ),
    inference(forward_demodulation,[],[f309,f1199]) ).

fof(f2047,plain,
    ( spl10_58
    | ~ spl10_183 ),
    inference(avatar_split_clause,[],[f2042,f1197,f560]) ).

fof(f2042,plain,
    ( e2 = op(e0,e2)
    | ~ spl10_183 ),
    inference(backward_demodulation,[],[f302,f1199]) ).

fof(f2035,plain,
    ( spl10_70
    | ~ spl10_82
    | ~ spl10_133 ),
    inference(avatar_contradiction_clause,[],[f2034]) ).

fof(f2034,plain,
    ( $false
    | spl10_70
    | ~ spl10_82
    | ~ spl10_133 ),
    inference(subsumption_resolution,[],[f2033,f896]) ).

fof(f896,plain,
    ( e0 = op(e4,e4)
    | ~ spl10_133 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f2033,plain,
    ( e0 != op(e4,e4)
    | spl10_70
    | ~ spl10_82 ),
    inference(forward_demodulation,[],[f614,f667]) ).

fof(f667,plain,
    ( e4 = op(e4,e0)
    | ~ spl10_82 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl10_82
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_82])]) ).

fof(f614,plain,
    ( e0 != op(e4,op(e4,e0))
    | spl10_70 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f612,plain,
    ( spl10_70
  <=> e0 = op(e4,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_70])]) ).

fof(f2022,plain,
    ( ~ spl10_63
    | ~ spl10_40 ),
    inference(avatar_split_clause,[],[f1562,f483,f581]) ).

fof(f581,plain,
    ( spl10_63
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_63])]) ).

fof(f1562,plain,
    ( e3 != op(e2,e2)
    | ~ spl10_40 ),
    inference(forward_demodulation,[],[f104,f485]) ).

fof(f104,plain,
    op(e2,e2) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2014,plain,
    ( ~ spl10_123
    | ~ spl10_91 ),
    inference(avatar_split_clause,[],[f2013,f704,f848]) ).

fof(f848,plain,
    ( spl10_123
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_123])]) ).

fof(f704,plain,
    ( spl10_91
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_91])]) ).

fof(f2013,plain,
    ( e2 != op(e4,e1)
    | ~ spl10_91 ),
    inference(forward_demodulation,[],[f143,f706]) ).

fof(f706,plain,
    ( e2 = op(e4,e3)
    | ~ spl10_91 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f143,plain,
    op(e4,e1) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1991,plain,
    ( ~ spl10_135
    | ~ spl10_165 ),
    inference(avatar_split_clause,[],[f1990,f1064,f903]) ).

fof(f903,plain,
    ( spl10_135
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_135])]) ).

fof(f1990,plain,
    ( e0 != op(e2,e1)
    | ~ spl10_165 ),
    inference(forward_demodulation,[],[f88,f1066]) ).

fof(f88,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1984,plain,
    ( ~ spl10_92
    | ~ spl10_82 ),
    inference(avatar_split_clause,[],[f1983,f665,f708]) ).

fof(f708,plain,
    ( spl10_92
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_92])]) ).

fof(f1983,plain,
    ( e4 != op(e4,e3)
    | ~ spl10_82 ),
    inference(forward_demodulation,[],[f114,f667]) ).

fof(f114,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1910,plain,
    ( ~ spl10_31
    | ~ spl10_90 ),
    inference(avatar_contradiction_clause,[],[f1909]) ).

fof(f1909,plain,
    ( $false
    | ~ spl10_31
    | ~ spl10_90 ),
    inference(subsumption_resolution,[],[f1908,f445]) ).

fof(f1908,plain,
    ( e1 != op(e4,e2)
    | ~ spl10_90 ),
    inference(forward_demodulation,[],[f135,f702]) ).

fof(f702,plain,
    ( e1 = op(e4,e3)
    | ~ spl10_90 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f700,plain,
    ( spl10_90
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_90])]) ).

fof(f135,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1893,plain,
    ( ~ spl10_24
    | ~ spl10_109 ),
    inference(avatar_contradiction_clause,[],[f1892]) ).

fof(f1892,plain,
    ( $false
    | ~ spl10_24
    | ~ spl10_109 ),
    inference(subsumption_resolution,[],[f1891,f291]) ).

fof(f1891,plain,
    ( e1 = e3
    | ~ spl10_24
    | ~ spl10_109 ),
    inference(forward_demodulation,[],[f789,f415]) ).

fof(f789,plain,
    ( e3 = op(e1,e0)
    | ~ spl10_109 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl10_109
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_109])]) ).

fof(f1877,plain,
    ( ~ spl10_31
    | ~ spl10_182 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1876,plain,
    ( $false
    | ~ spl10_31
    | ~ spl10_182 ),
    inference(subsumption_resolution,[],[f1875,f296]) ).

fof(f1875,plain,
    ( e1 = e4
    | ~ spl10_31
    | ~ spl10_182 ),
    inference(forward_demodulation,[],[f1874,f445]) ).

fof(f1874,plain,
    ( e4 = op(e4,e2)
    | ~ spl10_182 ),
    inference(forward_demodulation,[],[f301,f1195]) ).

fof(f1195,plain,
    ( e2 = unit
    | ~ spl10_182 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f1193,plain,
    ( spl10_182
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_182])]) ).

fof(f301,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1855,plain,
    ( ~ spl10_165
    | ~ spl10_24
    | spl10_141 ),
    inference(avatar_split_clause,[],[f1853,f932,f413,f1064]) ).

fof(f932,plain,
    ( spl10_141
  <=> e0 = op(e1,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_141])]) ).

fof(f1853,plain,
    ( e0 != op(e1,e1)
    | ~ spl10_24
    | spl10_141 ),
    inference(backward_demodulation,[],[f934,f415]) ).

fof(f934,plain,
    ( e0 != op(e1,op(e1,e0))
    | spl10_141 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f1854,plain,
    ( ~ spl10_75
    | ~ spl10_24 ),
    inference(avatar_split_clause,[],[f1850,f413,f634]) ).

fof(f634,plain,
    ( spl10_75
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_75])]) ).

fof(f1850,plain,
    ( e1 != op(e1,e1)
    | ~ spl10_24 ),
    inference(backward_demodulation,[],[f123,f415]) ).

fof(f123,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1841,plain,
    ( spl10_165
    | ~ spl10_31 ),
    inference(avatar_split_clause,[],[f1722,f443,f1064]) ).

fof(f1722,plain,
    ( e0 = op(e1,e1)
    | ~ spl10_31 ),
    inference(forward_demodulation,[],[f312,f445]) ).

fof(f312,plain,
    e0 = op(op(e4,e2),op(e4,e2)),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f1765,plain,
    ( ~ spl10_148
    | ~ spl10_40 ),
    inference(avatar_split_clause,[],[f1764,f483,f971]) ).

fof(f971,plain,
    ( spl10_148
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_148])]) ).

fof(f1764,plain,
    ( e3 != op(e2,e1)
    | ~ spl10_40 ),
    inference(forward_demodulation,[],[f99,f485]) ).

fof(f99,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1759,plain,
    ( ~ spl10_56
    | ~ spl10_183 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1758,plain,
    ( $false
    | ~ spl10_56
    | ~ spl10_183 ),
    inference(subsumption_resolution,[],[f1757,f295]) ).

fof(f1757,plain,
    ( e2 = e3
    | ~ spl10_56
    | ~ spl10_183 ),
    inference(forward_demodulation,[],[f1739,f554]) ).

fof(f554,plain,
    ( e2 = op(e0,e3)
    | ~ spl10_56 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl10_56
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_56])]) ).

fof(f1739,plain,
    ( e3 = op(e0,e3)
    | ~ spl10_183 ),
    inference(backward_demodulation,[],[f309,f1199]) ).

fof(f1748,plain,
    ( ~ spl10_107
    | ~ spl10_183 ),
    inference(avatar_contradiction_clause,[],[f1747]) ).

fof(f1747,plain,
    ( $false
    | ~ spl10_107
    | ~ spl10_183 ),
    inference(subsumption_resolution,[],[f1746,f299]) ).

fof(f299,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1746,plain,
    ( e0 = e2
    | ~ spl10_107
    | ~ spl10_183 ),
    inference(forward_demodulation,[],[f1733,f779]) ).

fof(f779,plain,
    ( e0 = op(e0,e2)
    | ~ spl10_107 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f777,plain,
    ( spl10_107
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_107])]) ).

fof(f1733,plain,
    ( e2 = op(e0,e2)
    | ~ spl10_183 ),
    inference(backward_demodulation,[],[f302,f1199]) ).

fof(f1721,plain,
    ( ~ spl10_31
    | ~ spl10_55 ),
    inference(avatar_contradiction_clause,[],[f1720]) ).

fof(f1720,plain,
    ( $false
    | ~ spl10_31
    | ~ spl10_55 ),
    inference(subsumption_resolution,[],[f1719,f549]) ).

fof(f549,plain,
    ( e1 = op(e1,e2)
    | ~ spl10_55 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl10_55
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_55])]) ).

fof(f1719,plain,
    ( e1 != op(e1,e2)
    | ~ spl10_31 ),
    inference(forward_demodulation,[],[f87,f445]) ).

fof(f87,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1632,plain,
    ( ~ spl10_30
    | ~ spl10_31 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1631,plain,
    ( $false
    | ~ spl10_30
    | ~ spl10_31 ),
    inference(subsumption_resolution,[],[f1630,f296]) ).

fof(f1630,plain,
    ( e1 = e4
    | ~ spl10_30
    | ~ spl10_31 ),
    inference(forward_demodulation,[],[f441,f445]) ).

fof(f441,plain,
    ( e4 = op(e4,e2)
    | ~ spl10_30 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl10_30
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_30])]) ).

fof(f1588,plain,
    ( ~ spl10_94
    | ~ spl10_73 ),
    inference(avatar_split_clause,[],[f1587,f625,f718]) ).

fof(f718,plain,
    ( spl10_94
  <=> e4 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_94])]) ).

fof(f1587,plain,
    ( e4 != op(e0,e3)
    | ~ spl10_73 ),
    inference(backward_demodulation,[],[f85,f627]) ).

fof(f85,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1570,plain,
    ( ~ spl10_58
    | ~ spl10_61 ),
    inference(avatar_split_clause,[],[f1569,f573,f560]) ).

fof(f573,plain,
    ( spl10_61
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_61])]) ).

fof(f1569,plain,
    ( e2 != op(e0,e2)
    | ~ spl10_61 ),
    inference(forward_demodulation,[],[f156,f575]) ).

fof(f575,plain,
    ( e2 = op(e2,e2)
    | ~ spl10_61 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f156,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1568,plain,
    ( ~ spl10_52
    | ~ spl10_31 ),
    inference(avatar_split_clause,[],[f1567,f443,f535]) ).

fof(f535,plain,
    ( spl10_52
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_52])]) ).

fof(f1567,plain,
    ( e1 != op(e2,e2)
    | ~ spl10_31 ),
    inference(forward_demodulation,[],[f133,f445]) ).

fof(f133,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1526,plain,
    ( ~ spl10_114
    | ~ spl10_40
    | spl10_162 ),
    inference(avatar_split_clause,[],[f1480,f1045,f483,f808]) ).

fof(f808,plain,
    ( spl10_114
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_114])]) ).

fof(f1480,plain,
    ( e4 != op(e2,e3)
    | ~ spl10_40
    | spl10_162 ),
    inference(backward_demodulation,[],[f1047,f485]) ).

fof(f1047,plain,
    ( e4 != op(e2,op(e2,e4))
    | spl10_162 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1482,plain,
    ( ~ spl10_5
    | ~ spl10_40 ),
    inference(avatar_split_clause,[],[f1478,f483,f332]) ).

fof(f332,plain,
    ( spl10_5
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f1478,plain,
    ( e3 != op(e4,e4)
    | ~ spl10_40 ),
    inference(backward_demodulation,[],[f179,f485]) ).

fof(f179,plain,
    op(e2,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1474,plain,
    ( ~ spl10_29
    | ~ spl10_31 ),
    inference(avatar_contradiction_clause,[],[f1473]) ).

fof(f1473,plain,
    ( $false
    | ~ spl10_29
    | ~ spl10_31 ),
    inference(subsumption_resolution,[],[f1472,f294]) ).

fof(f294,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f1472,plain,
    ( e0 = e1
    | ~ spl10_29
    | ~ spl10_31 ),
    inference(forward_demodulation,[],[f445,f437]) ).

fof(f437,plain,
    ( e0 = op(e4,e2)
    | ~ spl10_29 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl10_29
  <=> e0 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).

fof(f1465,plain,
    ( ~ spl10_105
    | ~ spl10_102 ),
    inference(avatar_split_clause,[],[f1459,f755,f768]) ).

fof(f768,plain,
    ( spl10_105
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_105])]) ).

fof(f755,plain,
    ( spl10_102
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_102])]) ).

fof(f1459,plain,
    ( e2 != op(e2,e4)
    | ~ spl10_102 ),
    inference(backward_demodulation,[],[f99,f757]) ).

fof(f757,plain,
    ( e2 = op(e2,e1)
    | ~ spl10_102 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f1420,plain,
    ( ~ spl10_40
    | ~ spl10_42 ),
    inference(avatar_split_clause,[],[f1417,f491,f483]) ).

fof(f491,plain,
    ( spl10_42
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_42])]) ).

fof(f1417,plain,
    ( e3 != op(e2,e4)
    | ~ spl10_42 ),
    inference(backward_demodulation,[],[f134,f493]) ).

fof(f493,plain,
    ( e3 = op(e1,e4)
    | ~ spl10_42 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f134,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1319,plain,
    ( ~ spl10_40
    | ~ spl10_41 ),
    inference(avatar_split_clause,[],[f1313,f487,f483]) ).

fof(f487,plain,
    ( spl10_41
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_41])]) ).

fof(f1313,plain,
    ( e3 != op(e2,e4)
    | ~ spl10_41 ),
    inference(backward_demodulation,[],[f177,f489]) ).

fof(f489,plain,
    ( e3 = op(e3,e4)
    | ~ spl10_41 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f177,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1290,plain,
    ( ~ spl10_24
    | ~ spl10_76 ),
    inference(avatar_split_clause,[],[f1284,f638,f413]) ).

fof(f1284,plain,
    ( e1 != op(e1,e0)
    | ~ spl10_76 ),
    inference(backward_demodulation,[],[f117,f640]) ).

fof(f640,plain,
    ( e1 = op(e1,e3)
    | ~ spl10_76 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f117,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1261,plain,
    ( spl10_75
    | ~ spl10_181 ),
    inference(avatar_split_clause,[],[f1248,f1189,f634]) ).

fof(f1189,plain,
    ( spl10_181
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_181])]) ).

fof(f1248,plain,
    ( e1 = op(e1,e1)
    | ~ spl10_181 ),
    inference(backward_demodulation,[],[f304,f1191]) ).

fof(f1191,plain,
    ( e1 = unit
    | ~ spl10_181 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f1241,plain,
    ( ~ spl10_102
    | ~ spl10_15 ),
    inference(avatar_split_clause,[],[f1231,f374,f755]) ).

fof(f1231,plain,
    ( e2 != op(e2,e1)
    | ~ spl10_15 ),
    inference(backward_demodulation,[],[f141,f376]) ).

fof(f141,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1212,plain,
    ( ~ spl10_144
    | spl10_124 ),
    inference(avatar_split_clause,[],[f226,f852,f948]) ).

fof(f948,plain,
    ( spl10_144
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_144])]) ).

fof(f226,plain,
    ( e4 = op(e4,e1)
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ( e2 = op(e2,e4)
      | e4 != op(e2,e2) )
    & ( ( e1 = op(e1,op(e1,e1))
        & e1 != op(e1,op(e1,e1)) )
      | ( e1 != op(e0,op(e0,e1))
        & e0 = op(e1,op(e0,e1)) )
      | ( e4 = op(e1,op(e4,e1))
        & e1 != op(e4,op(e4,e1)) )
      | sP9
      | sP8 )
    & ( e0 != op(e1,e1)
      | e1 = op(e1,e0) )
    & ( op(e0,e0) != e1
      | e0 = op(e0,e1) )
    & ( e4 = op(e4,e0)
      | e0 != op(e4,e4) )
    & ( e3 = op(e3,e3)
      | e3 != op(e3,e3) )
    & ( ( e4 != op(e2,op(e2,e4))
        & e2 = op(e4,op(e2,e4)) )
      | ( e4 != op(e1,op(e1,e4))
        & e1 = op(e4,op(e1,e4)) )
      | ( e4 != op(e3,op(e3,e4))
        & e3 = op(e4,op(e3,e4)) )
      | sP7
      | sP6 )
    & ( e0 = op(e0,e0)
      | e0 != op(e0,e0) )
    & ( e0 != op(e3,e3)
      | e3 = op(e3,e0) )
    & ( e2 != op(e4,e4)
      | e4 = op(e4,e2) )
    & ( e1 != op(e1,e1)
      | e1 = op(e1,e1) )
    & ( e2 = op(e2,e1)
      | e1 != op(e2,e2) )
    & ( e1 = op(e1,e4)
      | e4 != op(e1,e1) )
    & ( e1 != op(e3,e3)
      | e3 = op(e3,e1) )
    & ( e4 = op(e4,e4)
      | e4 != op(e4,e4) )
    & ( e2 = op(e2,e2)
      | e2 != op(e2,e2) )
    & ( e4 = op(e4,e3)
      | e3 != op(e4,e4) )
    & ( ( e2 != op(e2,op(e2,e2))
        & e2 = op(e2,op(e2,e2)) )
      | ( e2 != op(e3,op(e3,e2))
        & e3 = op(e2,op(e3,e2)) )
      | ( e1 = op(e2,op(e1,e2))
        & e2 != op(e1,op(e1,e2)) )
      | sP5
      | sP4 )
    & ( e1 != op(e4,e4)
      | e4 = op(e4,e1) )
    & ( ( e2 = op(e0,op(e2,e0))
        & e0 != op(e2,op(e2,e0)) )
      | ( e1 = op(e0,op(e1,e0))
        & e0 != op(e1,op(e1,e0)) )
      | ( e3 = op(e0,op(e3,e0))
        & e0 != op(e3,op(e3,e0)) )
      | sP3
      | sP2 )
    & ( e0 != op(e2,e2)
      | e2 = op(e2,e0) )
    & ( e3 != op(e2,e2)
      | e2 = op(e2,e3) )
    & ( op(e0,e0) != e3
      | e0 = op(e0,e3) )
    & ( e0 = op(e0,e4)
      | op(e0,e0) != e4 )
    & ( ( e0 = op(e3,op(e0,e3))
        & e3 != op(e0,op(e0,e3)) )
      | ( e4 = op(e3,op(e4,e3))
        & e3 != op(e4,op(e4,e3)) )
      | ( e3 != op(e3,op(e3,e3))
        & e3 = op(e3,op(e3,e3)) )
      | sP1
      | sP0 )
    & ( e0 = op(e0,e2)
      | op(e0,e0) != e2 )
    & ( e4 != op(e3,e3)
      | e3 = op(e3,e4) )
    & ( e2 != op(e1,e1)
      | e1 = op(e1,e2) )
    & ( e3 = op(e3,e2)
      | e2 != op(e3,e3) )
    & ( e1 = op(e1,e3)
      | e3 != op(e1,e1) ) ),
    inference(definition_folding,[],[f9,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

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

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

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

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

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

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

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

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

fof(f18,plain,
    ( ( e2 = op(e1,op(e2,e1))
      & e1 != op(e2,op(e2,e1)) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f19,plain,
    ( ( e1 != op(e3,op(e3,e1))
      & e3 = op(e1,op(e3,e1)) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

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

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

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

fof(f1208,plain,
    ( spl10_181
    | spl10_182
    | spl10_183
    | spl10_184
    | spl10_185 ),
    inference(avatar_split_clause,[],[f305,f1205,f1201,f1197,f1193,f1189]) ).

fof(f305,plain,
    ( e4 = unit
    | e3 = unit
    | e0 = unit
    | e2 = unit
    | e1 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1160,plain,
    ( spl10_159
    | spl10_166
    | spl10_102
    | spl10_135
    | spl10_148 ),
    inference(avatar_split_clause,[],[f283,f971,f903,f755,f1070,f1026]) ).

fof(f283,plain,
    ( e3 = op(e2,e1)
    | e0 = op(e2,e1)
    | e2 = op(e2,e1)
    | e4 = op(e2,e1)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f1152,plain,
    ( spl10_105
    | ~ spl10_60 ),
    inference(avatar_split_clause,[],[f265,f569,f768]) ).

fof(f569,plain,
    ( spl10_60
  <=> e4 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_60])]) ).

fof(f265,plain,
    ( e4 != op(e2,e2)
    | e2 = op(e2,e4) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f1148,plain,
    ( ~ spl10_140
    | ~ spl10_141
    | ~ spl10_142
    | spl10_50
    | spl10_71 ),
    inference(avatar_split_clause,[],[f218,f616,f526,f937,f932,f928]) ).

fof(f526,plain,
    ( spl10_50
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_50])]) ).

fof(f616,plain,
    ( spl10_71
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_71])]) ).

fof(f218,plain,
    ( sP3
    | sP2
    | e0 != op(e3,op(e3,e0))
    | e0 != op(e1,op(e1,e0))
    | e0 != op(e2,op(e2,e0)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f1142,plain,
    ( ~ spl10_165
    | spl10_24 ),
    inference(avatar_split_clause,[],[f256,f413,f1064]) ).

fof(f256,plain,
    ( e1 = op(e1,e0)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f1136,plain,
    spl10_31,
    inference(avatar_split_clause,[],[f313,f443]) ).

fof(f313,plain,
    e1 = op(e4,e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f1124,plain,
    ( ~ spl10_62
    | spl10_15 ),
    inference(avatar_split_clause,[],[f217,f374,f577]) ).

fof(f217,plain,
    ( e2 = op(e2,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f1116,plain,
    ( spl10_152
    | spl10_149
    | spl10_41
    | spl10_146
    | spl10_39 ),
    inference(avatar_split_clause,[],[f62,f478,f959,f487,f975,f990]) ).

fof(f62,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | e3 = op(e3,e4)
    | e3 = op(e3,e1)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f1074,plain,
    ( spl10_82
    | ~ spl10_133 ),
    inference(avatar_split_clause,[],[f254,f894,f665]) ).

fof(f254,plain,
    ( e0 != op(e4,e4)
    | e4 = op(e4,e0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f1033,plain,
    ( spl10_159
    | spl10_52
    | spl10_160
    | spl10_13
    | spl10_130 ),
    inference(avatar_split_clause,[],[f47,f879,f366,f1030,f535,f1026]) ).

fof(f47,plain,
    ( e1 = op(e2,e4)
    | e1 = op(e2,e0)
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1016,plain,
    ( spl10_155
    | spl10_157
    | spl10_107
    | spl10_62
    | spl10_29 ),
    inference(avatar_split_clause,[],[f44,f435,f577,f777,f1013,f1004]) ).

fof(f44,plain,
    ( e0 = op(e4,e2)
    | e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | e0 = op(e1,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f998,plain,
    ( spl10_5
    | spl10_104
    | spl10_153
    | spl10_144
    | spl10_133 ),
    inference(avatar_split_clause,[],[f280,f894,f948,f995,f764,f332]) ).

fof(f764,plain,
    ( spl10_104
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_104])]) ).

fof(f280,plain,
    ( e0 = op(e4,e4)
    | e1 = op(e4,e4)
    | e4 = op(e4,e4)
    | e2 = op(e4,e4)
    | e3 = op(e4,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f988,plain,
    ( spl10_42
    | spl10_109
    | spl10_151
    | spl10_101
    | spl10_147 ),
    inference(avatar_split_clause,[],[f63,f966,f749,f985,f787,f491]) ).

fof(f966,plain,
    ( spl10_147
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_147])]) ).

fof(f63,plain,
    ( e3 = op(e1,e1)
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | e3 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f969,plain,
    ( ~ spl10_147
    | spl10_76 ),
    inference(avatar_split_clause,[],[f201,f638,f966]) ).

fof(f201,plain,
    ( e1 = op(e1,e3)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f964,plain,
    ( spl10_55
    | ~ spl10_125 ),
    inference(avatar_split_clause,[],[f203,f857,f547]) ).

fof(f857,plain,
    ( spl10_125
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_125])]) ).

fof(f203,plain,
    ( e2 != op(e1,e1)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f917,plain,
    ( spl10_30
    | ~ spl10_104 ),
    inference(avatar_split_clause,[],[f242,f764,f439]) ).

fof(f242,plain,
    ( e2 != op(e4,e4)
    | e4 = op(e4,e2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f884,plain,
    ( spl10_41
    | ~ spl10_37 ),
    inference(avatar_split_clause,[],[f204,f470,f487]) ).

fof(f470,plain,
    ( spl10_37
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_37])]) ).

fof(f204,plain,
    ( e4 != op(e3,e3)
    | e3 = op(e3,e4) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f883,plain,
    ( spl10_51
    | ~ spl10_50 ),
    inference(avatar_split_clause,[],[f195,f526,f530]) ).

fof(f530,plain,
    ( spl10_51
  <=> e0 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_51])]) ).

fof(f195,plain,
    ( ~ sP2
    | e0 = op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( ( e0 != op(e0,op(e0,e0))
      & e0 = op(e0,op(e0,e0)) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f864,plain,
    ( spl10_47
    | spl10_102
    | spl10_125
    | spl10_123
    | spl10_126 ),
    inference(avatar_split_clause,[],[f73,f861,f848,f857,f755,f513]) ).

fof(f73,plain,
    ( e2 = op(e3,e1)
    | e2 = op(e4,e1)
    | e2 = op(e1,e1)
    | e2 = op(e2,e1)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f811,plain,
    ( spl10_113
    | spl10_37
    | spl10_92
    | spl10_114
    | spl10_94 ),
    inference(avatar_split_clause,[],[f32,f718,f808,f708,f470,f804]) ).

fof(f32,plain,
    ( e4 = op(e0,e3)
    | e4 = op(e2,e3)
    | e4 = op(e4,e3)
    | e4 = op(e3,e3)
    | e4 = op(e1,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f729,plain,
    ( spl10_94
    | spl10_27
    | spl10_95
    | spl10_56
    | spl10_96 ),
    inference(avatar_split_clause,[],[f278,f726,f552,f722,f426,f718]) ).

fof(f278,plain,
    ( e1 = op(e0,e3)
    | e2 = op(e0,e3)
    | e3 = op(e0,e3)
    | e0 = op(e0,e3)
    | e4 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f715,plain,
    ( spl10_2
    | spl10_90
    | spl10_91
    | spl10_92
    | spl10_93 ),
    inference(avatar_split_clause,[],[f282,f712,f708,f704,f700,f320]) ).

fof(f282,plain,
    ( e0 = op(e4,e3)
    | e4 = op(e4,e3)
    | e2 = op(e4,e3)
    | e1 = op(e4,e3)
    | e3 = op(e4,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f646,plain,
    spl10_40,
    inference(avatar_split_clause,[],[f314,f483]) ).

fof(f314,plain,
    e3 = op(e2,e4),
    inference(cnf_transformation,[],[f6]) ).

fof(f619,plain,
    ( ~ spl10_70
    | ~ spl10_71 ),
    inference(avatar_split_clause,[],[f193,f616,f612]) ).

fof(f193,plain,
    ( ~ sP3
    | e0 != op(e4,op(e4,e0)) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( ( e4 = op(e0,op(e4,e0))
      & e0 != op(e4,op(e4,e0)) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f584,plain,
    ( spl10_60
    | spl10_61
    | spl10_62
    | spl10_63
    | spl10_52 ),
    inference(avatar_split_clause,[],[f271,f535,f581,f577,f573,f569]) ).

fof(f271,plain,
    ( e1 = op(e2,e2)
    | e3 = op(e2,e2)
    | e0 = op(e2,e2)
    | e2 = op(e2,e2)
    | e4 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f533,plain,
    ( ~ spl10_50
    | ~ spl10_51 ),
    inference(avatar_split_clause,[],[f196,f530,f526]) ).

fof(f196,plain,
    ( e0 != op(e0,op(e0,e0))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f481,plain,
    ( spl10_35
    | spl10_36
    | spl10_37
    | spl10_38
    | spl10_39 ),
    inference(avatar_split_clause,[],[f276,f478,f474,f470,f466,f462]) ).

fof(f276,plain,
    ( e3 = op(e3,e3)
    | e2 = op(e3,e3)
    | e4 = op(e3,e3)
    | e1 = op(e3,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ALG065+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12  % 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 : n028.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 15:02:02 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (16685)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)
% 0.18/0.49  % (16702)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)
% 0.18/0.49  % (16693)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)
% 0.18/0.49  % (16683)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)
% 0.18/0.50  % (16687)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)
% 0.18/0.50  % (16680)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)
% 0.18/0.50  % (16691)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)
% 0.18/0.50  % (16684)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)
% 0.18/0.51  % (16686)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)
% 0.18/0.51  % (16678)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)
% 0.18/0.51  % (16700)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)
% 0.18/0.51  % (16699)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)
% 0.18/0.51  % (16678)Instruction limit reached!
% 0.18/0.51  % (16678)------------------------------
% 0.18/0.51  % (16678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (16678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (16678)Termination reason: Unknown
% 0.18/0.51  % (16678)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (16678)Memory used [KB]: 6268
% 0.18/0.51  % (16678)Time elapsed: 0.008 s
% 0.18/0.51  % (16678)Instructions burned: 15 (million)
% 0.18/0.51  % (16678)------------------------------
% 0.18/0.51  % (16678)------------------------------
% 0.18/0.51  % (16695)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)
% 0.18/0.51  % (16695)Instruction limit reached!
% 0.18/0.51  % (16695)------------------------------
% 0.18/0.51  % (16695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (16695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (16695)Termination reason: Unknown
% 0.18/0.51  % (16695)Termination phase: shuffling
% 0.18/0.51  
% 0.18/0.51  % (16695)Memory used [KB]: 1407
% 0.18/0.51  % (16695)Time elapsed: 0.002 s
% 0.18/0.51  % (16695)Instructions burned: 3 (million)
% 0.18/0.51  % (16695)------------------------------
% 0.18/0.51  % (16695)------------------------------
% 0.18/0.51  % (16690)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)
% 0.18/0.51  % (16687)Instruction limit reached!
% 0.18/0.51  % (16687)------------------------------
% 0.18/0.51  % (16687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (16687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (16687)Termination reason: Unknown
% 0.18/0.51  % (16687)Termination phase: Property scanning
% 0.18/0.51  
% 0.18/0.51  % (16687)Memory used [KB]: 1663
% 0.18/0.51  % (16687)Time elapsed: 0.008 s
% 0.18/0.51  % (16687)Instructions burned: 12 (million)
% 0.18/0.51  % (16687)------------------------------
% 0.18/0.51  % (16687)------------------------------
% 0.18/0.52  % (16688)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)
% 0.18/0.52  % (16706)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)
% 0.18/0.52  % (16697)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)
% 0.18/0.52  % (16679)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)
% 0.18/0.52  % (16679)Instruction limit reached!
% 0.18/0.52  % (16679)------------------------------
% 0.18/0.52  % (16679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (16679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (16679)Termination reason: Unknown
% 0.18/0.52  % (16679)Termination phase: Property scanning
% 0.18/0.52  
% 0.18/0.52  % (16679)Memory used [KB]: 1535
% 0.18/0.52  % (16679)Time elapsed: 0.003 s
% 0.18/0.52  % (16679)Instructions burned: 4 (million)
% 0.18/0.52  % (16679)------------------------------
% 0.18/0.52  % (16679)------------------------------
% 0.18/0.52  % (16681)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)
% 0.18/0.52  % (16704)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)
% 0.18/0.52  % (16677)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52  % (16681)Instruction limit reached!
% 0.18/0.52  % (16681)------------------------------
% 0.18/0.52  % (16681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (16681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (16681)Termination reason: Unknown
% 0.18/0.52  % (16681)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (16681)Memory used [KB]: 1535
% 0.18/0.52  % (16681)Time elapsed: 0.005 s
% 0.18/0.52  % (16681)Instructions burned: 14 (million)
% 0.18/0.52  % (16681)------------------------------
% 0.18/0.52  % (16681)------------------------------
% 0.18/0.52  % (16698)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)
% 0.18/0.53  % (16696)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)
% 0.18/0.53  % (16691)Instruction limit reached!
% 0.18/0.53  % (16691)------------------------------
% 0.18/0.53  % (16691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16691)Termination reason: Unknown
% 0.18/0.53  % (16691)Termination phase: Preprocessing 3
% 0.18/0.53  
% 0.18/0.53  % (16691)Memory used [KB]: 1535
% 0.18/0.53  % (16691)Time elapsed: 0.004 s
% 0.18/0.53  % (16691)Instructions burned: 3 (million)
% 0.18/0.53  % (16691)------------------------------
% 0.18/0.53  % (16691)------------------------------
% 0.18/0.53  % (16705)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)
% 0.18/0.53  % (16682)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)
% 0.18/0.53  % (16705)Instruction limit reached!
% 0.18/0.53  % (16705)------------------------------
% 0.18/0.53  % (16705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16705)Termination reason: Unknown
% 0.18/0.53  % (16705)Termination phase: Equality proxy
% 0.18/0.53  
% 0.18/0.53  % (16705)Memory used [KB]: 1535
% 0.18/0.53  % (16705)Time elapsed: 0.004 s
% 0.18/0.53  % (16705)Instructions burned: 8 (million)
% 0.18/0.53  % (16705)------------------------------
% 0.18/0.53  % (16705)------------------------------
% 0.18/0.53  % (16689)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)
% 0.18/0.53  % (16703)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)
% 0.18/0.53  % (16701)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)
% 0.18/0.53  % (16682)Instruction limit reached!
% 0.18/0.53  % (16682)------------------------------
% 0.18/0.53  % (16682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16682)Termination reason: Unknown
% 0.18/0.53  % (16682)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (16682)Memory used [KB]: 1791
% 0.18/0.53  % (16682)Time elapsed: 0.008 s
% 0.18/0.53  % (16682)Instructions burned: 15 (million)
% 0.18/0.53  % (16682)------------------------------
% 0.18/0.53  % (16682)------------------------------
% 0.18/0.54  % (16688)Instruction limit reached!
% 0.18/0.54  % (16688)------------------------------
% 0.18/0.54  % (16688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16688)Termination reason: Unknown
% 0.18/0.54  % (16688)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16688)Memory used [KB]: 1535
% 0.18/0.54  % (16688)Time elapsed: 0.004 s
% 0.18/0.54  % (16688)Instructions burned: 8 (million)
% 0.18/0.54  % (16688)------------------------------
% 0.18/0.54  % (16688)------------------------------
% 0.18/0.54  % (16696)Instruction limit reached!
% 0.18/0.54  % (16696)------------------------------
% 0.18/0.54  % (16696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16696)Termination reason: Unknown
% 0.18/0.54  % (16696)Termination phase: Property scanning
% 0.18/0.54  
% 0.18/0.54  % (16696)Memory used [KB]: 1663
% 0.18/0.54  % (16696)Time elapsed: 0.007 s
% 0.18/0.54  % (16696)Instructions burned: 14 (million)
% 0.18/0.54  % (16696)------------------------------
% 0.18/0.54  % (16696)------------------------------
% 0.18/0.54  % (16692)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)
% 0.18/0.54  % (16704)Instruction limit reached!
% 0.18/0.54  % (16704)------------------------------
% 0.18/0.54  % (16704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16704)Termination reason: Unknown
% 0.18/0.54  % (16704)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16704)Memory used [KB]: 6652
% 0.18/0.54  % (16704)Time elapsed: 0.138 s
% 0.18/0.54  % (16704)Instructions burned: 25 (million)
% 0.18/0.54  % (16704)------------------------------
% 0.18/0.54  % (16704)------------------------------
% 0.18/0.54  % (16692)Instruction limit reached!
% 0.18/0.54  % (16692)------------------------------
% 0.18/0.54  % (16692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16692)Termination reason: Unknown
% 0.18/0.54  % (16692)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16692)Memory used [KB]: 6140
% 0.18/0.54  % (16692)Time elapsed: 0.005 s
% 0.18/0.54  % (16692)Instructions burned: 9 (million)
% 0.18/0.54  % (16692)------------------------------
% 0.18/0.54  % (16692)------------------------------
% 0.18/0.54  % (16694)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.55  % (16694)Instruction limit reached!
% 0.18/0.55  % (16694)------------------------------
% 0.18/0.55  % (16694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (16694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (16694)Termination reason: Unknown
% 0.18/0.55  % (16694)Termination phase: Property scanning
% 0.18/0.55  
% 0.18/0.55  % (16694)Memory used [KB]: 1535
% 0.18/0.55  % (16694)Time elapsed: 0.004 s
% 0.18/0.55  % (16694)Instructions burned: 5 (million)
% 0.18/0.55  % (16694)------------------------------
% 0.18/0.55  % (16694)------------------------------
% 0.18/0.55  % (16683)Instruction limit reached!
% 0.18/0.55  % (16683)------------------------------
% 0.18/0.55  % (16683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (16683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (16683)Termination reason: Unknown
% 0.18/0.55  % (16683)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (16683)Memory used [KB]: 6780
% 0.18/0.55  % (16683)Time elapsed: 0.138 s
% 0.18/0.55  % (16683)Instructions burned: 39 (million)
% 0.18/0.55  % (16683)------------------------------
% 0.18/0.55  % (16683)------------------------------
% 0.18/0.56  % (16689)Instruction limit reached!
% 0.18/0.56  % (16689)------------------------------
% 0.18/0.56  % (16689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (16689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (16689)Termination reason: Unknown
% 0.18/0.56  % (16689)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (16689)Memory used [KB]: 1791
% 0.18/0.56  % (16689)Time elapsed: 0.008 s
% 0.18/0.56  % (16689)Instructions burned: 18 (million)
% 0.18/0.56  % (16689)------------------------------
% 0.18/0.56  % (16689)------------------------------
% 0.18/0.56  % (16700)Instruction limit reached!
% 0.18/0.56  % (16700)------------------------------
% 0.18/0.56  % (16700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (16700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (16700)Termination reason: Unknown
% 0.18/0.56  % (16700)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (16700)Memory used [KB]: 2046
% 0.18/0.56  % (16700)Time elapsed: 0.158 s
% 0.18/0.56  % (16700)Instructions burned: 45 (million)
% 0.18/0.56  % (16700)------------------------------
% 0.18/0.56  % (16700)------------------------------
% 0.18/0.56  % (16684)Instruction limit reached!
% 0.18/0.56  % (16684)------------------------------
% 0.18/0.56  % (16684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (16684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (16684)Termination reason: Unknown
% 0.18/0.56  % (16684)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (16684)Memory used [KB]: 6908
% 0.18/0.56  % (16684)Time elapsed: 0.165 s
% 0.18/0.56  % (16684)Instructions burned: 39 (million)
% 0.18/0.56  % (16684)------------------------------
% 0.18/0.56  % (16684)------------------------------
% 0.18/0.56  % (16697)Instruction limit reached!
% 0.18/0.56  % (16697)------------------------------
% 0.18/0.56  % (16697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (16697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (16697)Termination reason: Unknown
% 0.18/0.56  % (16697)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (16697)Memory used [KB]: 6908
% 0.18/0.56  % (16697)Time elapsed: 0.164 s
% 0.18/0.56  % (16697)Instructions burned: 30 (million)
% 0.18/0.56  % (16697)------------------------------
% 0.18/0.56  % (16697)------------------------------
% 0.18/0.56  % (16706)Instruction limit reached!
% 0.18/0.56  % (16706)------------------------------
% 0.18/0.56  % (16706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (16706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (16706)Termination reason: Unknown
% 0.18/0.56  % (16706)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (16706)Memory used [KB]: 6140
% 0.18/0.56  % (16706)Time elapsed: 0.021 s
% 0.18/0.56  % (16706)Instructions burned: 25 (million)
% 0.18/0.56  % (16706)------------------------------
% 0.18/0.56  % (16706)------------------------------
% 0.18/0.57  % (16701)Refutation not found, incomplete strategy% (16701)------------------------------
% 0.18/0.57  % (16701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (16701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (16701)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.57  
% 0.18/0.57  % (16701)Memory used [KB]: 6908
% 0.18/0.57  % (16701)Time elapsed: 0.175 s
% 0.18/0.57  % (16701)Instructions burned: 26 (million)
% 0.18/0.57  % (16701)------------------------------
% 0.18/0.57  % (16701)------------------------------
% 0.18/0.57  % (16685)Instruction limit reached!
% 0.18/0.57  % (16685)------------------------------
% 0.18/0.57  % (16685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (16685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (16685)Termination reason: Unknown
% 0.18/0.57  % (16685)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (16685)Memory used [KB]: 7036
% 0.18/0.57  % (16685)Time elapsed: 0.178 s
% 0.18/0.57  % (16685)Instructions burned: 50 (million)
% 0.18/0.57  % (16685)------------------------------
% 0.18/0.57  % (16685)------------------------------
% 0.18/0.57  % (16690)Instruction limit reached!
% 0.18/0.57  % (16690)------------------------------
% 0.18/0.57  % (16690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (16690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (16690)Termination reason: Unknown
% 0.18/0.57  % (16690)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (16690)Memory used [KB]: 7036
% 0.18/0.57  % (16690)Time elapsed: 0.028 s
% 0.18/0.57  % (16690)Instructions burned: 51 (million)
% 0.18/0.57  % (16690)------------------------------
% 0.18/0.57  % (16690)------------------------------
% 0.18/0.58  % (16686)Instruction limit reached!
% 0.18/0.58  % (16686)------------------------------
% 0.18/0.58  % (16686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (16686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (16686)Termination reason: Unknown
% 0.18/0.58  % (16686)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (16686)Memory used [KB]: 6780
% 0.18/0.58  % (16686)Time elapsed: 0.165 s
% 0.18/0.58  % (16686)Instructions burned: 33 (million)
% 0.18/0.58  % (16686)------------------------------
% 0.18/0.58  % (16686)------------------------------
% 0.18/0.58  % (16680)Instruction limit reached!
% 0.18/0.58  % (16680)------------------------------
% 0.18/0.58  % (16680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (16680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (16680)Termination reason: Unknown
% 0.18/0.58  % (16680)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (16680)Memory used [KB]: 6908
% 0.18/0.58  % (16680)Time elapsed: 0.157 s
% 0.18/0.58  % (16680)Instructions burned: 52 (million)
% 0.18/0.58  % (16680)------------------------------
% 0.18/0.58  % (16680)------------------------------
% 1.91/0.59  % (16702)First to succeed.
% 1.91/0.60  % (16693)Instruction limit reached!
% 1.91/0.60  % (16693)------------------------------
% 1.91/0.60  % (16693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60  % (16693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60  % (16693)Termination reason: Unknown
% 1.91/0.60  % (16693)Termination phase: Saturation
% 1.91/0.60  
% 1.91/0.60  % (16693)Memory used [KB]: 7036
% 1.91/0.60  % (16693)Time elapsed: 0.174 s
% 1.91/0.60  % (16693)Instructions burned: 52 (million)
% 1.91/0.60  % (16693)------------------------------
% 1.91/0.60  % (16693)------------------------------
% 2.03/0.61  % (16702)Refutation found. Thanks to Tanya!
% 2.03/0.61  % SZS status Theorem for theBenchmark
% 2.03/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.61  % (16702)------------------------------
% 2.03/0.61  % (16702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61  % (16702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61  % (16702)Termination reason: Refutation
% 2.03/0.61  
% 2.03/0.61  % (16702)Memory used [KB]: 7547
% 2.03/0.61  % (16702)Time elapsed: 0.033 s
% 2.03/0.61  % (16702)Instructions burned: 56 (million)
% 2.03/0.61  % (16702)------------------------------
% 2.03/0.61  % (16702)------------------------------
% 2.03/0.61  % (16676)Success in time 0.26 s
%------------------------------------------------------------------------------