TSTP Solution File: ALG067+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG067+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:10:54 EDT 2024

% Result   : Theorem 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  210 (   8 unt;   0 def)
%            Number of atoms       :  882 ( 520 equ)
%            Maximal formula atoms :  125 (   4 avg)
%            Number of connectives : 1015 ( 343   ~; 371   |; 236   &)
%                                         (  65 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   91 (  89 usr;  90 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f659,plain,
    $false,
    inference(avatar_sat_refutation,[],[f301,f310,f319,f328,f337,f346,f355,f364,f373,f382,f391,f409,f418,f427,f436,f445,f454,f465,f566,f568,f569,f571,f572,f574,f575,f577,f578,f580,f581,f583,f588,f590,f591,f593,f594,f596,f597,f599,f600,f602,f603,f605,f610,f612,f613,f615,f618,f620,f622,f623,f625,f626,f628,f633,f635,f636,f638,f639,f641,f642,f644,f648,f649,f651,f656,f658]) ).

fof(f658,plain,
    ( ~ spl24_39
    | spl24_67 ),
    inference(avatar_split_clause,[],[f10,f653,f467]) ).

fof(f467,plain,
    ( spl24_39
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_39])]) ).

fof(f653,plain,
    ( spl24_67
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_67])]) ).

fof(f10,plain,
    ( e4 = op(e4,e4)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f9]) ).

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

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

fof(f7,conjecture,
    ~ ( ( ( e4 != op(e4,e4)
          & e4 = op(e4,e4)
          & e4 = op(e4,e4) )
        | ( e4 != op(e4,e3)
          & e4 = op(e3,e3)
          & e3 = op(e4,e4) )
        | ( e4 != op(e4,e2)
          & e4 = op(e2,e2)
          & e2 = op(e4,e4) )
        | ( e4 != op(e4,e1)
          & e4 = op(e1,e1)
          & e1 = op(e4,e4) )
        | ( e4 != op(e4,e0)
          & op(e0,e0) = e4
          & e0 = op(e4,e4) )
        | ( e3 != op(e3,e4)
          & e3 = op(e4,e4)
          & e4 = op(e3,e3) )
        | ( e3 != op(e3,e3)
          & e3 = op(e3,e3)
          & e3 = op(e3,e3) )
        | ( e3 != op(e3,e2)
          & e3 = op(e2,e2)
          & e2 = op(e3,e3) )
        | ( e3 != op(e3,e1)
          & e3 = op(e1,e1)
          & e1 = op(e3,e3) )
        | ( e3 != op(e3,e0)
          & op(e0,e0) = e3
          & e0 = op(e3,e3) )
        | ( e2 != op(e2,e4)
          & e2 = op(e4,e4)
          & e4 = op(e2,e2) )
        | ( e2 != op(e2,e3)
          & e2 = op(e3,e3)
          & e3 = op(e2,e2) )
        | ( e2 != op(e2,e2)
          & e2 = op(e2,e2)
          & e2 = op(e2,e2) )
        | ( e2 != op(e2,e1)
          & e2 = op(e1,e1)
          & e1 = op(e2,e2) )
        | ( e2 != op(e2,e0)
          & op(e0,e0) = e2
          & e0 = op(e2,e2) )
        | ( e1 != op(e1,e4)
          & e1 = op(e4,e4)
          & e4 = op(e1,e1) )
        | ( e1 != op(e1,e3)
          & e1 = op(e3,e3)
          & e3 = op(e1,e1) )
        | ( e1 != op(e1,e2)
          & e1 = op(e2,e2)
          & e2 = op(e1,e1) )
        | ( e1 != op(e1,e1)
          & e1 = op(e1,e1)
          & e1 = op(e1,e1) )
        | ( e1 != op(e1,e0)
          & op(e0,e0) = e1
          & e0 = op(e1,e1) )
        | ( e0 != op(e0,e4)
          & e0 = op(e4,e4)
          & op(e0,e0) = e4 )
        | ( e0 != op(e0,e3)
          & e0 = op(e3,e3)
          & op(e0,e0) = e3 )
        | ( e0 != op(e0,e2)
          & e0 = op(e2,e2)
          & op(e0,e0) = e2 )
        | ( e0 != op(e0,e1)
          & e0 = op(e1,e1)
          & op(e0,e0) = e1 )
        | ( e0 != op(e0,e0)
          & e0 = op(e0,e0)
          & e0 = op(e0,e0) ) )
      & ( e4 = op(e4,e4)
        | e4 != op(e4,e4) )
      & ( e4 = op(e4,e3)
        | e3 != op(e4,e4) )
      & ( e4 = op(e4,e2)
        | e2 != op(e4,e4) )
      & ( e4 = op(e4,e1)
        | e1 != op(e4,e4) )
      & ( e4 = op(e4,e0)
        | e0 != op(e4,e4) )
      & ( e3 = op(e3,e4)
        | e4 != op(e3,e3) )
      & ( e3 = op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e3 = op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e3 = op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e3 = op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 = op(e2,e4)
        | e4 != op(e2,e2) )
      & ( e2 = op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e2 = op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e2 = op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e2 = op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 = op(e1,e4)
        | e4 != op(e1,e1) )
      & ( e1 = op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e1 = op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e1 = op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e1 = op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 = op(e0,e4)
        | op(e0,e0) != e4 )
      & ( e0 = op(e0,e3)
        | op(e0,e0) != e3 )
      & ( e0 = op(e0,e2)
        | op(e0,e0) != e2 )
      & ( e0 = op(e0,e1)
        | op(e0,e0) != e1 )
      & ( e0 = op(e0,e0)
        | e0 != op(e0,e0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QDr6xPTlAC/Vampire---4.8_14643',co1) ).

fof(f656,plain,
    ( ~ spl24_39
    | ~ spl24_67 ),
    inference(avatar_split_clause,[],[f12,f653,f467]) ).

fof(f12,plain,
    ( e4 != op(e4,e4)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f651,plain,
    ( ~ spl24_40
    | spl24_38 ),
    inference(avatar_split_clause,[],[f13,f462,f471]) ).

fof(f471,plain,
    ( spl24_40
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_40])]) ).

fof(f462,plain,
    ( spl24_38
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_38])]) ).

fof(f13,plain,
    ( e3 = op(e4,e4)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f649,plain,
    ( ~ spl24_40
    | ~ spl24_37 ),
    inference(avatar_split_clause,[],[f15,f458,f471]) ).

fof(f458,plain,
    ( spl24_37
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_37])]) ).

fof(f15,plain,
    ( e4 != op(e4,e3)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f648,plain,
    ~ spl24_41,
    inference(avatar_split_clause,[],[f647,f475]) ).

fof(f475,plain,
    ( spl24_41
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_41])]) ).

fof(f647,plain,
    ~ sP21,
    inference(subsumption_resolution,[],[f16,f456]) ).

fof(f456,plain,
    e2 != op(e4,e4),
    inference(subsumption_resolution,[],[f455,f114]) ).

fof(f114,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/tmp/tmp.QDr6xPTlAC/Vampire---4.8_14643',ax5) ).

fof(f455,plain,
    ( e1 = e4
    | e2 != op(e4,e4) ),
    inference(forward_demodulation,[],[f86,f106]) ).

fof(f106,plain,
    e1 = 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/sandbox/tmp/tmp.QDr6xPTlAC/Vampire---4.8_14643',ax6) ).

fof(f86,plain,
    ( e2 != op(e4,e4)
    | e4 = op(e4,e2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f16,plain,
    ( e2 = op(e4,e4)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f644,plain,
    ( ~ spl24_42
    | spl24_36 ),
    inference(avatar_split_clause,[],[f19,f451,f479]) ).

fof(f479,plain,
    ( spl24_42
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_42])]) ).

fof(f451,plain,
    ( spl24_36
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_36])]) ).

fof(f19,plain,
    ( e1 = op(e4,e4)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f642,plain,
    ( ~ spl24_42
    | ~ spl24_35 ),
    inference(avatar_split_clause,[],[f21,f447,f479]) ).

fof(f447,plain,
    ( spl24_35
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_35])]) ).

fof(f21,plain,
    ( e4 != op(e4,e1)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f641,plain,
    ( ~ spl24_43
    | spl24_34 ),
    inference(avatar_split_clause,[],[f22,f442,f483]) ).

fof(f483,plain,
    ( spl24_43
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_43])]) ).

fof(f442,plain,
    ( spl24_34
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_34])]) ).

fof(f22,plain,
    ( e0 = op(e4,e4)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f639,plain,
    ( ~ spl24_43
    | ~ spl24_33 ),
    inference(avatar_split_clause,[],[f24,f438,f483]) ).

fof(f438,plain,
    ( spl24_33
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_33])]) ).

fof(f24,plain,
    ( e4 != op(e4,e0)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f638,plain,
    ( ~ spl24_44
    | spl24_32 ),
    inference(avatar_split_clause,[],[f25,f433,f487]) ).

fof(f487,plain,
    ( spl24_44
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_44])]) ).

fof(f433,plain,
    ( spl24_32
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_32])]) ).

fof(f25,plain,
    ( e4 = op(e3,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f636,plain,
    ( ~ spl24_44
    | ~ spl24_31 ),
    inference(avatar_split_clause,[],[f27,f429,f487]) ).

fof(f429,plain,
    ( spl24_31
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_31])]) ).

fof(f27,plain,
    ( e3 != op(e3,e4)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f635,plain,
    ( ~ spl24_45
    | spl24_66 ),
    inference(avatar_split_clause,[],[f28,f630,f491]) ).

fof(f491,plain,
    ( spl24_45
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_45])]) ).

fof(f630,plain,
    ( spl24_66
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_66])]) ).

fof(f28,plain,
    ( e3 = op(e3,e3)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f633,plain,
    ( ~ spl24_45
    | ~ spl24_66 ),
    inference(avatar_split_clause,[],[f30,f630,f491]) ).

fof(f30,plain,
    ( e3 != op(e3,e3)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f628,plain,
    ( ~ spl24_46
    | spl24_30 ),
    inference(avatar_split_clause,[],[f31,f424,f495]) ).

fof(f495,plain,
    ( spl24_46
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_46])]) ).

fof(f424,plain,
    ( spl24_30
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_30])]) ).

fof(f31,plain,
    ( e2 = op(e3,e3)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f626,plain,
    ( ~ spl24_46
    | ~ spl24_29 ),
    inference(avatar_split_clause,[],[f33,f420,f495]) ).

fof(f420,plain,
    ( spl24_29
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).

fof(f33,plain,
    ( e3 != op(e3,e2)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f625,plain,
    ( ~ spl24_47
    | spl24_28 ),
    inference(avatar_split_clause,[],[f34,f415,f499]) ).

fof(f499,plain,
    ( spl24_47
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_47])]) ).

fof(f415,plain,
    ( spl24_28
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).

fof(f34,plain,
    ( e1 = op(e3,e3)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f623,plain,
    ( ~ spl24_47
    | ~ spl24_27 ),
    inference(avatar_split_clause,[],[f36,f411,f499]) ).

fof(f411,plain,
    ( spl24_27
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_27])]) ).

fof(f36,plain,
    ( e3 != op(e3,e1)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f622,plain,
    ( ~ spl24_48
    | spl24_26 ),
    inference(avatar_split_clause,[],[f37,f406,f503]) ).

fof(f503,plain,
    ( spl24_48
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_48])]) ).

fof(f406,plain,
    ( spl24_26
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_26])]) ).

fof(f37,plain,
    ( e0 = op(e3,e3)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f620,plain,
    ( ~ spl24_48
    | ~ spl24_25 ),
    inference(avatar_split_clause,[],[f39,f402,f503]) ).

fof(f402,plain,
    ( spl24_25
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).

fof(f39,plain,
    ( e3 != op(e3,e0)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f618,plain,
    ~ spl24_49,
    inference(avatar_split_clause,[],[f617,f507]) ).

fof(f507,plain,
    ( spl24_49
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_49])]) ).

fof(f617,plain,
    ~ sP13,
    inference(subsumption_resolution,[],[f41,f456]) ).

fof(f41,plain,
    ( e2 = op(e4,e4)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f615,plain,
    ( ~ spl24_50
    | spl24_22 ),
    inference(avatar_split_clause,[],[f43,f388,f511]) ).

fof(f511,plain,
    ( spl24_50
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_50])]) ).

fof(f388,plain,
    ( spl24_22
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).

fof(f43,plain,
    ( e3 = op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f613,plain,
    ( ~ spl24_50
    | ~ spl24_21 ),
    inference(avatar_split_clause,[],[f45,f384,f511]) ).

fof(f384,plain,
    ( spl24_21
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_21])]) ).

fof(f45,plain,
    ( e2 != op(e2,e3)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f612,plain,
    ( ~ spl24_51
    | spl24_65 ),
    inference(avatar_split_clause,[],[f46,f607,f515]) ).

fof(f515,plain,
    ( spl24_51
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_51])]) ).

fof(f607,plain,
    ( spl24_65
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_65])]) ).

fof(f46,plain,
    ( e2 = op(e2,e2)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f610,plain,
    ( ~ spl24_51
    | ~ spl24_65 ),
    inference(avatar_split_clause,[],[f48,f607,f515]) ).

fof(f48,plain,
    ( e2 != op(e2,e2)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f605,plain,
    ( ~ spl24_52
    | spl24_20 ),
    inference(avatar_split_clause,[],[f49,f379,f519]) ).

fof(f519,plain,
    ( spl24_52
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_52])]) ).

fof(f379,plain,
    ( spl24_20
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).

fof(f49,plain,
    ( e1 = op(e2,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f603,plain,
    ( ~ spl24_52
    | ~ spl24_19 ),
    inference(avatar_split_clause,[],[f51,f375,f519]) ).

fof(f375,plain,
    ( spl24_19
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).

fof(f51,plain,
    ( e2 != op(e2,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f602,plain,
    ( ~ spl24_53
    | spl24_18 ),
    inference(avatar_split_clause,[],[f52,f370,f523]) ).

fof(f523,plain,
    ( spl24_53
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_53])]) ).

fof(f370,plain,
    ( spl24_18
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).

fof(f52,plain,
    ( e0 = op(e2,e2)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f600,plain,
    ( ~ spl24_53
    | ~ spl24_17 ),
    inference(avatar_split_clause,[],[f54,f366,f523]) ).

fof(f366,plain,
    ( spl24_17
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).

fof(f54,plain,
    ( e2 != op(e2,e0)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f599,plain,
    ( ~ spl24_54
    | spl24_16 ),
    inference(avatar_split_clause,[],[f55,f361,f527]) ).

fof(f527,plain,
    ( spl24_54
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_54])]) ).

fof(f361,plain,
    ( spl24_16
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).

fof(f55,plain,
    ( e4 = op(e1,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f597,plain,
    ( ~ spl24_54
    | ~ spl24_15 ),
    inference(avatar_split_clause,[],[f57,f357,f527]) ).

fof(f357,plain,
    ( spl24_15
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).

fof(f57,plain,
    ( e1 != op(e1,e4)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f596,plain,
    ( ~ spl24_55
    | spl24_14 ),
    inference(avatar_split_clause,[],[f58,f352,f531]) ).

fof(f531,plain,
    ( spl24_55
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_55])]) ).

fof(f352,plain,
    ( spl24_14
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).

fof(f58,plain,
    ( e3 = op(e1,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f594,plain,
    ( ~ spl24_55
    | ~ spl24_13 ),
    inference(avatar_split_clause,[],[f60,f348,f531]) ).

fof(f348,plain,
    ( spl24_13
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).

fof(f60,plain,
    ( e1 != op(e1,e3)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f593,plain,
    ( ~ spl24_56
    | spl24_12 ),
    inference(avatar_split_clause,[],[f61,f343,f535]) ).

fof(f535,plain,
    ( spl24_56
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_56])]) ).

fof(f343,plain,
    ( spl24_12
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).

fof(f61,plain,
    ( e2 = op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f591,plain,
    ( ~ spl24_56
    | ~ spl24_11 ),
    inference(avatar_split_clause,[],[f63,f339,f535]) ).

fof(f339,plain,
    ( spl24_11
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).

fof(f63,plain,
    ( e1 != op(e1,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f590,plain,
    ( ~ spl24_57
    | spl24_64 ),
    inference(avatar_split_clause,[],[f64,f585,f539]) ).

fof(f539,plain,
    ( spl24_57
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_57])]) ).

fof(f585,plain,
    ( spl24_64
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_64])]) ).

fof(f64,plain,
    ( e1 = op(e1,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f588,plain,
    ( ~ spl24_57
    | ~ spl24_64 ),
    inference(avatar_split_clause,[],[f66,f585,f539]) ).

fof(f66,plain,
    ( e1 != op(e1,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f583,plain,
    ( ~ spl24_58
    | spl24_10 ),
    inference(avatar_split_clause,[],[f67,f334,f543]) ).

fof(f543,plain,
    ( spl24_58
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_58])]) ).

fof(f334,plain,
    ( spl24_10
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).

fof(f67,plain,
    ( e0 = op(e1,e1)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f581,plain,
    ( ~ spl24_58
    | ~ spl24_9 ),
    inference(avatar_split_clause,[],[f69,f330,f543]) ).

fof(f330,plain,
    ( spl24_9
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).

fof(f69,plain,
    ( e1 != op(e1,e0)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f580,plain,
    ( ~ spl24_59
    | spl24_8 ),
    inference(avatar_split_clause,[],[f70,f325,f547]) ).

fof(f547,plain,
    ( spl24_59
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_59])]) ).

fof(f325,plain,
    ( spl24_8
  <=> op(e0,e0) = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).

fof(f70,plain,
    ( op(e0,e0) = e4
    | ~ sP3 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f578,plain,
    ( ~ spl24_59
    | ~ spl24_7 ),
    inference(avatar_split_clause,[],[f72,f321,f547]) ).

fof(f321,plain,
    ( spl24_7
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).

fof(f72,plain,
    ( e0 != op(e0,e4)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f577,plain,
    ( ~ spl24_60
    | spl24_6 ),
    inference(avatar_split_clause,[],[f73,f316,f551]) ).

fof(f551,plain,
    ( spl24_60
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_60])]) ).

fof(f316,plain,
    ( spl24_6
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).

fof(f73,plain,
    ( op(e0,e0) = e3
    | ~ sP2 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f575,plain,
    ( ~ spl24_60
    | ~ spl24_5 ),
    inference(avatar_split_clause,[],[f75,f312,f551]) ).

fof(f312,plain,
    ( spl24_5
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).

fof(f75,plain,
    ( e0 != op(e0,e3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f574,plain,
    ( ~ spl24_61
    | spl24_4 ),
    inference(avatar_split_clause,[],[f76,f307,f555]) ).

fof(f555,plain,
    ( spl24_61
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_61])]) ).

fof(f307,plain,
    ( spl24_4
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).

fof(f76,plain,
    ( op(e0,e0) = e2
    | ~ sP1 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f572,plain,
    ( ~ spl24_61
    | ~ spl24_3 ),
    inference(avatar_split_clause,[],[f78,f303,f555]) ).

fof(f303,plain,
    ( spl24_3
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).

fof(f78,plain,
    ( e0 != op(e0,e2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f571,plain,
    ( ~ spl24_62
    | spl24_2 ),
    inference(avatar_split_clause,[],[f79,f298,f559]) ).

fof(f559,plain,
    ( spl24_62
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_62])]) ).

fof(f298,plain,
    ( spl24_2
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).

fof(f79,plain,
    ( op(e0,e0) = e1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f569,plain,
    ( ~ spl24_62
    | ~ spl24_1 ),
    inference(avatar_split_clause,[],[f81,f294,f559]) ).

fof(f294,plain,
    ( spl24_1
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).

fof(f81,plain,
    ( e0 != op(e0,e1)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f568,plain,
    ( spl24_39
    | spl24_40
    | spl24_41
    | spl24_42
    | spl24_43
    | spl24_44
    | spl24_45
    | spl24_46
    | spl24_47
    | spl24_48
    | spl24_49
    | spl24_50
    | spl24_51
    | spl24_52
    | spl24_53
    | spl24_54
    | spl24_55
    | spl24_56
    | spl24_57
    | spl24_58
    | spl24_59
    | spl24_60
    | spl24_61
    | spl24_62
    | spl24_63 ),
    inference(avatar_split_clause,[],[f82,f563,f559,f555,f551,f547,f543,f539,f535,f531,f527,f523,f519,f515,f511,f507,f503,f499,f495,f491,f487,f483,f479,f475,f471,f467]) ).

fof(f563,plain,
    ( spl24_63
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_63])]) ).

fof(f82,plain,
    ( e0 = op(e0,e0)
    | sP0
    | sP1
    | sP2
    | sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f566,plain,
    ( spl24_39
    | spl24_40
    | spl24_41
    | spl24_42
    | spl24_43
    | spl24_44
    | spl24_45
    | spl24_46
    | spl24_47
    | spl24_48
    | spl24_49
    | spl24_50
    | spl24_51
    | spl24_52
    | spl24_53
    | spl24_54
    | spl24_55
    | spl24_56
    | spl24_57
    | spl24_58
    | spl24_59
    | spl24_60
    | spl24_61
    | spl24_62
    | ~ spl24_63 ),
    inference(avatar_split_clause,[],[f84,f563,f559,f555,f551,f547,f543,f539,f535,f531,f527,f523,f519,f515,f511,f507,f503,f499,f495,f491,f487,f483,f479,f475,f471,f467]) ).

fof(f84,plain,
    ( e0 != op(e0,e0)
    | sP0
    | sP1
    | sP2
    | sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f465,plain,
    ( spl24_37
    | ~ spl24_38 ),
    inference(avatar_split_clause,[],[f85,f462,f458]) ).

fof(f85,plain,
    ( e3 != op(e4,e4)
    | e4 = op(e4,e3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f454,plain,
    ( spl24_35
    | ~ spl24_36 ),
    inference(avatar_split_clause,[],[f87,f451,f447]) ).

fof(f87,plain,
    ( e1 != op(e4,e4)
    | e4 = op(e4,e1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f445,plain,
    ( spl24_33
    | ~ spl24_34 ),
    inference(avatar_split_clause,[],[f88,f442,f438]) ).

fof(f88,plain,
    ( e0 != op(e4,e4)
    | e4 = op(e4,e0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f436,plain,
    ( spl24_31
    | ~ spl24_32 ),
    inference(avatar_split_clause,[],[f89,f433,f429]) ).

fof(f89,plain,
    ( e4 != op(e3,e3)
    | e3 = op(e3,e4) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f427,plain,
    ( spl24_29
    | ~ spl24_30 ),
    inference(avatar_split_clause,[],[f90,f424,f420]) ).

fof(f90,plain,
    ( e2 != op(e3,e3)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f418,plain,
    ( spl24_27
    | ~ spl24_28 ),
    inference(avatar_split_clause,[],[f91,f415,f411]) ).

fof(f91,plain,
    ( e1 != op(e3,e3)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f409,plain,
    ( spl24_25
    | ~ spl24_26 ),
    inference(avatar_split_clause,[],[f92,f406,f402]) ).

fof(f92,plain,
    ( e0 != op(e3,e3)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f391,plain,
    ( spl24_21
    | ~ spl24_22 ),
    inference(avatar_split_clause,[],[f94,f388,f384]) ).

fof(f94,plain,
    ( e3 != op(e2,e2)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f382,plain,
    ( spl24_19
    | ~ spl24_20 ),
    inference(avatar_split_clause,[],[f95,f379,f375]) ).

fof(f95,plain,
    ( e1 != op(e2,e2)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f373,plain,
    ( spl24_17
    | ~ spl24_18 ),
    inference(avatar_split_clause,[],[f96,f370,f366]) ).

fof(f96,plain,
    ( e0 != op(e2,e2)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f364,plain,
    ( spl24_15
    | ~ spl24_16 ),
    inference(avatar_split_clause,[],[f97,f361,f357]) ).

fof(f97,plain,
    ( e4 != op(e1,e1)
    | e1 = op(e1,e4) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f355,plain,
    ( spl24_13
    | ~ spl24_14 ),
    inference(avatar_split_clause,[],[f98,f352,f348]) ).

fof(f98,plain,
    ( e3 != op(e1,e1)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f346,plain,
    ( spl24_11
    | ~ spl24_12 ),
    inference(avatar_split_clause,[],[f99,f343,f339]) ).

fof(f99,plain,
    ( e2 != op(e1,e1)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f337,plain,
    ( spl24_9
    | ~ spl24_10 ),
    inference(avatar_split_clause,[],[f100,f334,f330]) ).

fof(f100,plain,
    ( e0 != op(e1,e1)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f328,plain,
    ( spl24_7
    | ~ spl24_8 ),
    inference(avatar_split_clause,[],[f101,f325,f321]) ).

fof(f101,plain,
    ( op(e0,e0) != e4
    | e0 = op(e0,e4) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f319,plain,
    ( spl24_5
    | ~ spl24_6 ),
    inference(avatar_split_clause,[],[f102,f316,f312]) ).

fof(f102,plain,
    ( op(e0,e0) != e3
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f310,plain,
    ( spl24_3
    | ~ spl24_4 ),
    inference(avatar_split_clause,[],[f103,f307,f303]) ).

fof(f103,plain,
    ( op(e0,e0) != e2
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f301,plain,
    ( spl24_1
    | ~ spl24_2 ),
    inference(avatar_split_clause,[],[f104,f298,f294]) ).

fof(f104,plain,
    ( op(e0,e0) != e1
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ALG067+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 19:55:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_PEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.QDr6xPTlAC/Vampire---4.8_14643
% 0.60/0.76  % (14903)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.76  % (14897)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76  % (14899)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (14898)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.76  % (14901)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76  % (14900)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76  % (14902)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.76  % (14903)First to succeed.
% 0.61/0.76  % (14903)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14893"
% 0.61/0.76  % (14903)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Theorem for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (14903)------------------------------
% 0.61/0.77  % (14903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (14903)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (14903)Memory used [KB]: 1302
% 0.61/0.77  % (14903)Time elapsed: 0.009 s
% 0.61/0.77  % (14903)Instructions burned: 28 (million)
% 0.61/0.77  % (14893)Success in time 0.382 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------