TSTP Solution File: ALG042+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG042+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 : n013.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 04:10:39 EDT 2024

% Result   : Theorem 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  222 (  25 unt;   0 def)
%            Number of atoms       :  809 ( 489 equ)
%            Maximal formula atoms :   72 (   3 avg)
%            Number of connectives :  826 ( 239   ~; 337   |; 221   &)
%                                         (  27 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   29 (  27 usr;  28 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f998,plain,
    $false,
    inference(avatar_sat_refutation,[],[f183,f200,f217,f268,f285,f405,f406,f412,f417,f426,f427,f444,f446,f459,f462,f472,f505,f508,f509,f510,f530,f540,f571,f578,f637,f647,f653,f681,f687,f693,f702,f731,f733,f737,f785,f831,f838,f842,f918,f967,f997]) ).

fof(f997,plain,
    ( ~ spl0_26
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f996]) ).

fof(f996,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f995,f80]) ).

fof(f80,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e12 != e13
    & e11 != e13
    & e11 != e12
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox/tmp/tmp.wjdBGIS3I7/Vampire---4.8_19059',ax1) ).

fof(f995,plain,
    ( e10 = e11
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f994,f96]) ).

fof(f96,plain,
    e10 = op1(e12,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e10 = op1(e13,e13)
    & e11 = op1(e13,e12)
    & e12 = op1(e13,e11)
    & e13 = op1(e13,e10)
    & e11 = op1(e12,e13)
    & e10 = op1(e12,e12)
    & e13 = op1(e12,e11)
    & e12 = op1(e12,e10)
    & e12 = op1(e11,e13)
    & e13 = op1(e11,e12)
    & e10 = op1(e11,e11)
    & e11 = op1(e11,e10)
    & e13 = op1(e10,e13)
    & e12 = op1(e10,e12)
    & e11 = op1(e10,e11)
    & e10 = op1(e10,e10) ),
    file('/export/starexec/sandbox/tmp/tmp.wjdBGIS3I7/Vampire---4.8_19059',ax4) ).

fof(f994,plain,
    ( e11 = op1(e12,e12)
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f987,f280]) ).

fof(f280,plain,
    ( e11 = j(e23)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl0_31
  <=> e11 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f987,plain,
    ( op1(e12,e12) = j(e23)
    | ~ spl0_26 ),
    inference(superposition,[],[f123,f259]) ).

fof(f259,plain,
    ( e12 = j(e22)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_26
  <=> e12 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f123,plain,
    j(e23) = op1(j(e22),j(e22)),
    inference(forward_demodulation,[],[f44,f112]) ).

fof(f112,plain,
    e23 = op2(e22,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e20 = op2(e23,e23)
    & e21 = op2(e23,e22)
    & e22 = op2(e23,e21)
    & e23 = op2(e23,e20)
    & e21 = op2(e22,e23)
    & e23 = op2(e22,e22)
    & e20 = op2(e22,e21)
    & e22 = op2(e22,e20)
    & e22 = op2(e21,e23)
    & e20 = op2(e21,e22)
    & e23 = op2(e21,e21)
    & e21 = op2(e21,e20)
    & e23 = op2(e20,e23)
    & e22 = op2(e20,e22)
    & e21 = op2(e20,e21)
    & e20 = op2(e20,e20) ),
    file('/export/starexec/sandbox/tmp/tmp.wjdBGIS3I7/Vampire---4.8_19059',ax5) ).

fof(f44,plain,
    j(op2(e22,e22)) = op1(j(e22),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ( e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ( ( ( e13 = j(e23)
          | e12 = j(e23)
          | e11 = j(e23)
          | e10 = j(e23) )
        & ( e13 = j(e22)
          | e12 = j(e22)
          | e11 = j(e22)
          | e10 = j(e22) )
        & ( e13 = j(e21)
          | e12 = j(e21)
          | e11 = j(e21)
          | e10 = j(e21) )
        & ( e13 = j(e20)
          | e12 = j(e20)
          | e11 = j(e20)
          | e10 = j(e20) )
        & ( e23 = h(e13)
          | e22 = h(e13)
          | e21 = h(e13)
          | e20 = h(e13) )
        & ( e23 = h(e12)
          | e22 = h(e12)
          | e21 = h(e12)
          | e20 = h(e12) )
        & ( e23 = h(e11)
          | e22 = h(e11)
          | e21 = h(e11)
          | e20 = h(e11) )
        & ( e23 = h(e10)
          | e22 = h(e10)
          | e21 = h(e10)
          | e20 = h(e10) ) )
     => ~ ( e13 = j(h(e13))
          & e12 = j(h(e12))
          & e11 = j(h(e11))
          & e10 = j(h(e10))
          & e23 = h(j(e23))
          & e22 = h(j(e22))
          & e21 = h(j(e21))
          & e20 = h(j(e20))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ( ( ( e13 = j(e23)
        | e12 = j(e23)
        | e11 = j(e23)
        | e10 = j(e23) )
      & ( e13 = j(e22)
        | e12 = j(e22)
        | e11 = j(e22)
        | e10 = j(e22) )
      & ( e13 = j(e21)
        | e12 = j(e21)
        | e11 = j(e21)
        | e10 = j(e21) )
      & ( e13 = j(e20)
        | e12 = j(e20)
        | e11 = j(e20)
        | e10 = j(e20) )
      & ( e23 = h(e13)
        | e22 = h(e13)
        | e21 = h(e13)
        | e20 = h(e13) )
      & ( e23 = h(e12)
        | e22 = h(e12)
        | e21 = h(e12)
        | e20 = h(e12) )
      & ( e23 = h(e11)
        | e22 = h(e11)
        | e21 = h(e11)
        | e20 = h(e11) )
      & ( e23 = h(e10)
        | e22 = h(e10)
        | e21 = h(e10)
        | e20 = h(e10) ) )
   => ~ ( e13 = j(h(e13))
        & e12 = j(h(e12))
        & e11 = j(h(e11))
        & e10 = j(h(e10))
        & e23 = h(j(e23))
        & e22 = h(j(e22))
        & e21 = h(j(e21))
        & e20 = h(j(e20))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wjdBGIS3I7/Vampire---4.8_19059',co1) ).

fof(f967,plain,
    ( ~ spl0_28
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f966]) ).

fof(f966,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f965,f80]) ).

fof(f965,plain,
    ( e10 = e11
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f964,f86]) ).

fof(f86,plain,
    e10 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f964,plain,
    ( e11 = op1(e10,e10)
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f951,f280]) ).

fof(f951,plain,
    ( op1(e10,e10) = j(e23)
    | ~ spl0_28 ),
    inference(superposition,[],[f123,f267]) ).

fof(f267,plain,
    ( e10 = j(e22)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl0_28
  <=> e10 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f918,plain,
    ( ~ spl0_25
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f917,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f916,f80]) ).

fof(f916,plain,
    ( e10 = e11
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f915,f101]) ).

fof(f101,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f915,plain,
    ( e11 = op1(e13,e13)
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f910,f280]) ).

fof(f910,plain,
    ( op1(e13,e13) = j(e23)
    | ~ spl0_25 ),
    inference(superposition,[],[f123,f255]) ).

fof(f255,plain,
    ( e13 = j(e22)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl0_25
  <=> e13 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f842,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f841]) ).

fof(f841,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f840,f80]) ).

fof(f840,plain,
    ( e10 = e11
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f280,f284]) ).

fof(f284,plain,
    ( e10 = j(e23)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f282,plain,
    ( spl0_32
  <=> e10 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f838,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f837]) ).

fof(f837,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f836,f85]) ).

fof(f85,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f836,plain,
    ( e12 = e13
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f238,f242]) ).

fof(f242,plain,
    ( e12 = j(e21)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl0_22
  <=> e12 = j(e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f238,plain,
    ( e13 = j(e21)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl0_21
  <=> e13 = j(e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f831,plain,
    ( spl0_32
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f830,f261,f282]) ).

fof(f261,plain,
    ( spl0_27
  <=> e11 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f830,plain,
    ( e10 = j(e23)
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f819,f91]) ).

fof(f91,plain,
    e10 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f819,plain,
    ( op1(e11,e11) = j(e23)
    | ~ spl0_27 ),
    inference(superposition,[],[f123,f263]) ).

fof(f263,plain,
    ( e11 = j(e22)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f785,plain,
    ( ~ spl0_18
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f784]) ).

fof(f784,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f778,f81]) ).

fof(f81,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f778,plain,
    ( e10 = e12
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(superposition,[],[f225,f233]) ).

fof(f233,plain,
    ( e10 = j(e20)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_20
  <=> e10 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f225,plain,
    ( e12 = j(e20)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_18
  <=> e12 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f737,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f736]) ).

fof(f736,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f735,f83]) ).

fof(f83,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f735,plain,
    ( e11 = e12
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f242,f246]) ).

fof(f246,plain,
    ( e11 = j(e21)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl0_23
  <=> e11 = j(e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f733,plain,
    ( spl0_26
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f732,f270,f244,f257]) ).

fof(f270,plain,
    ( spl0_29
  <=> e13 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f732,plain,
    ( e12 = j(e22)
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f717,f99]) ).

fof(f99,plain,
    e12 = op1(e13,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f717,plain,
    ( op1(e13,e11) = j(e22)
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f713,f272]) ).

fof(f272,plain,
    ( e13 = j(e23)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f713,plain,
    ( j(e22) = op1(j(e23),e11)
    | ~ spl0_23 ),
    inference(superposition,[],[f120,f246]) ).

fof(f120,plain,
    j(e22) = op1(j(e23),j(e21)),
    inference(forward_demodulation,[],[f47,f115]) ).

fof(f115,plain,
    e22 = op2(e23,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    j(op2(e23,e21)) = op1(j(e23),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f731,plain,
    ( ~ spl0_26
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f730]) ).

fof(f730,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f729,f82]) ).

fof(f82,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f729,plain,
    ( e10 = e13
    | ~ spl0_26
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f728,f96]) ).

fof(f728,plain,
    ( e13 = op1(e12,e12)
    | ~ spl0_26
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f722,f272]) ).

fof(f722,plain,
    ( op1(e12,e12) = j(e23)
    | ~ spl0_26 ),
    inference(superposition,[],[f123,f259]) ).

fof(f702,plain,
    ( ~ spl0_10
    | spl0_26 ),
    inference(avatar_contradiction_clause,[],[f701]) ).

fof(f701,plain,
    ( $false
    | ~ spl0_10
    | spl0_26 ),
    inference(subsumption_resolution,[],[f700,f258]) ).

fof(f258,plain,
    ( e12 != j(e22)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f700,plain,
    ( e12 = j(e22)
    | ~ spl0_10 ),
    inference(superposition,[],[f56,f191]) ).

fof(f191,plain,
    ( e22 = h(e12)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl0_10
  <=> e22 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f56,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f693,plain,
    ( ~ spl0_29
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f692]) ).

fof(f692,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f691,f82]) ).

fof(f691,plain,
    ( e10 = e13
    | ~ spl0_29
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f272,f284]) ).

fof(f687,plain,
    ( ~ spl0_17
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f686]) ).

fof(f686,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f685,f82]) ).

fof(f685,plain,
    ( e10 = e13
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f221,f233]) ).

fof(f221,plain,
    ( e13 = j(e20)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_17
  <=> e13 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f681,plain,
    ( ~ spl0_27
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f680]) ).

fof(f680,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f679,f81]) ).

fof(f679,plain,
    ( e10 = e12
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f678,f91]) ).

fof(f678,plain,
    ( e12 = op1(e11,e11)
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f671,f276]) ).

fof(f276,plain,
    ( e12 = j(e23)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl0_30
  <=> e12 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f671,plain,
    ( op1(e11,e11) = j(e23)
    | ~ spl0_27 ),
    inference(superposition,[],[f123,f263]) ).

fof(f653,plain,
    ( spl0_27
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f652,f274,f236,f261]) ).

fof(f652,plain,
    ( e11 = j(e22)
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f651,f97]) ).

fof(f97,plain,
    e11 = op1(e12,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f651,plain,
    ( op1(e12,e13) = j(e22)
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f617,f238]) ).

fof(f617,plain,
    ( j(e22) = op1(e12,j(e21))
    | ~ spl0_30 ),
    inference(superposition,[],[f120,f276]) ).

fof(f647,plain,
    ( ~ spl0_21
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f646]) ).

fof(f646,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f645,f84]) ).

fof(f84,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f645,plain,
    ( e11 = e13
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f238,f246]) ).

fof(f637,plain,
    ( ~ spl0_25
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f636]) ).

fof(f636,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f635,f81]) ).

fof(f635,plain,
    ( e10 = e12
    | ~ spl0_25
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f634,f101]) ).

fof(f634,plain,
    ( e12 = op1(e13,e13)
    | ~ spl0_25
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f633,f276]) ).

fof(f633,plain,
    ( op1(e13,e13) = j(e23)
    | ~ spl0_25 ),
    inference(superposition,[],[f123,f255]) ).

fof(f578,plain,
    ( ~ spl0_25
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f577]) ).

fof(f577,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f576,f84]) ).

fof(f576,plain,
    ( e11 = e13
    | ~ spl0_25
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f255,f263]) ).

fof(f571,plain,
    ( ~ spl0_17
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f570]) ).

fof(f570,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f569,f82]) ).

fof(f569,plain,
    ( e10 = e13
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f568,f96]) ).

fof(f568,plain,
    ( e13 = op1(e12,e12)
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f566,f221]) ).

fof(f566,plain,
    ( op1(e12,e12) = j(e20)
    | ~ spl0_30 ),
    inference(superposition,[],[f118,f276]) ).

fof(f118,plain,
    j(e20) = op1(j(e23),j(e23)),
    inference(forward_demodulation,[],[f49,f117]) ).

fof(f117,plain,
    e20 = op2(e23,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    j(op2(e23,e23)) = op1(j(e23),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f540,plain,
    ( spl0_31
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f539,f168,f278]) ).

fof(f168,plain,
    ( spl0_5
  <=> e23 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f539,plain,
    ( e11 = j(e23)
    | ~ spl0_5 ),
    inference(superposition,[],[f55,f170]) ).

fof(f170,plain,
    ( e23 = h(e11)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f55,plain,
    e11 = j(h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f530,plain,
    ( ~ spl0_7
    | spl0_23 ),
    inference(avatar_contradiction_clause,[],[f529]) ).

fof(f529,plain,
    ( $false
    | ~ spl0_7
    | spl0_23 ),
    inference(subsumption_resolution,[],[f528,f245]) ).

fof(f245,plain,
    ( e11 != j(e21)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f528,plain,
    ( e11 = j(e21)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f178]) ).

fof(f178,plain,
    ( e21 = h(e11)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl0_7
  <=> e21 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f510,plain,
    ( spl0_21
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f480,f210,f236]) ).

fof(f210,plain,
    ( spl0_15
  <=> e21 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f480,plain,
    ( e13 = j(e21)
    | ~ spl0_15 ),
    inference(superposition,[],[f57,f212]) ).

fof(f212,plain,
    ( e21 = h(e13)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f57,plain,
    e13 = j(h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f509,plain,
    ( spl0_19
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f431,f180,f227]) ).

fof(f227,plain,
    ( spl0_19
  <=> e11 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f180,plain,
    ( spl0_8
  <=> e20 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f431,plain,
    ( e11 = j(e20)
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f182]) ).

fof(f182,plain,
    ( e20 = h(e11)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f508,plain,
    ( spl0_20
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f507]) ).

fof(f507,plain,
    ( $false
    | spl0_20
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f506,f232]) ).

fof(f232,plain,
    ( e10 != j(e20)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f506,plain,
    ( e10 = j(e20)
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f500,f86]) ).

fof(f500,plain,
    ( op1(e10,e10) = j(e20)
    | ~ spl0_32 ),
    inference(superposition,[],[f118,f284]) ).

fof(f505,plain,
    ( ~ spl0_19
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f504]) ).

fof(f504,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f503,f80]) ).

fof(f503,plain,
    ( e10 = e11
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f502,f86]) ).

fof(f502,plain,
    ( e11 = op1(e10,e10)
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f500,f229]) ).

fof(f229,plain,
    ( e11 = j(e20)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f472,plain,
    ( ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f471]) ).

fof(f471,plain,
    ( $false
    | ~ spl0_16
    | spl0_17 ),
    inference(subsumption_resolution,[],[f470,f220]) ).

fof(f220,plain,
    ( e13 != j(e20)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f470,plain,
    ( e13 = j(e20)
    | ~ spl0_16 ),
    inference(superposition,[],[f57,f216]) ).

fof(f216,plain,
    ( e20 = h(e13)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_16
  <=> e20 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f462,plain,
    ( ~ spl0_14
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f461]) ).

fof(f461,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f460,f85]) ).

fof(f460,plain,
    ( e12 = e13
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f456,f259]) ).

fof(f456,plain,
    ( e13 = j(e22)
    | ~ spl0_14 ),
    inference(superposition,[],[f57,f208]) ).

fof(f208,plain,
    ( e22 = h(e13)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl0_14
  <=> e22 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f459,plain,
    ( ~ spl0_14
    | spl0_25 ),
    inference(avatar_contradiction_clause,[],[f458]) ).

fof(f458,plain,
    ( $false
    | ~ spl0_14
    | spl0_25 ),
    inference(subsumption_resolution,[],[f456,f254]) ).

fof(f254,plain,
    ( e13 != j(e22)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f446,plain,
    ( spl0_29
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f398,f202,f270]) ).

fof(f202,plain,
    ( spl0_13
  <=> e23 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f398,plain,
    ( e13 = j(e23)
    | ~ spl0_13 ),
    inference(superposition,[],[f57,f204]) ).

fof(f204,plain,
    ( e23 = h(e13)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f444,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f443]) ).

fof(f443,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f438,f80]) ).

fof(f438,plain,
    ( e10 = e11
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(superposition,[],[f229,f233]) ).

fof(f427,plain,
    ( spl0_27
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f396,f172,f261]) ).

fof(f172,plain,
    ( spl0_6
  <=> e22 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f396,plain,
    ( e11 = j(e22)
    | ~ spl0_6 ),
    inference(superposition,[],[f55,f174]) ).

fof(f174,plain,
    ( e22 = h(e11)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f426,plain,
    ( spl0_30
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f425,f185,f274]) ).

fof(f185,plain,
    ( spl0_9
  <=> e23 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f425,plain,
    ( e12 = j(e23)
    | ~ spl0_9 ),
    inference(superposition,[],[f56,f187]) ).

fof(f187,plain,
    ( e23 = h(e12)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f417,plain,
    ( ~ spl0_11
    | spl0_22 ),
    inference(avatar_contradiction_clause,[],[f416]) ).

fof(f416,plain,
    ( $false
    | ~ spl0_11
    | spl0_22 ),
    inference(subsumption_resolution,[],[f415,f241]) ).

fof(f241,plain,
    ( e12 != j(e21)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f415,plain,
    ( e12 = j(e21)
    | ~ spl0_11 ),
    inference(superposition,[],[f56,f195]) ).

fof(f195,plain,
    ( e21 = h(e12)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl0_11
  <=> e21 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f412,plain,
    ( ~ spl0_10
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f411]) ).

fof(f411,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f410,f83]) ).

fof(f410,plain,
    ( e11 = e12
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f409,f263]) ).

fof(f409,plain,
    ( e12 = j(e22)
    | ~ spl0_10 ),
    inference(superposition,[],[f56,f191]) ).

fof(f406,plain,
    ( spl0_18
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f397,f197,f223]) ).

fof(f197,plain,
    ( spl0_12
  <=> e20 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f397,plain,
    ( e12 = j(e20)
    | ~ spl0_12 ),
    inference(superposition,[],[f56,f199]) ).

fof(f199,plain,
    ( e20 = h(e12)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f405,plain,
    ( spl0_20
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f404,f270,f231]) ).

fof(f404,plain,
    ( e10 = j(e20)
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f399,f101]) ).

fof(f399,plain,
    ( op1(e13,e13) = j(e20)
    | ~ spl0_29 ),
    inference(superposition,[],[f118,f272]) ).

fof(f285,plain,
    ( spl0_29
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f10,f282,f278,f274,f270]) ).

fof(f10,plain,
    ( e10 = j(e23)
    | e11 = j(e23)
    | e12 = j(e23)
    | e13 = j(e23) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f268,plain,
    ( spl0_25
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f11,f265,f261,f257,f253]) ).

fof(f11,plain,
    ( e10 = j(e22)
    | e11 = j(e22)
    | e12 = j(e22)
    | e13 = j(e22) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f217,plain,
    ( spl0_13
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f14,f214,f210,f206,f202]) ).

fof(f14,plain,
    ( e20 = h(e13)
    | e21 = h(e13)
    | e22 = h(e13)
    | e23 = h(e13) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f200,plain,
    ( spl0_9
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f15,f197,f193,f189,f185]) ).

fof(f15,plain,
    ( e20 = h(e12)
    | e21 = h(e12)
    | e22 = h(e12)
    | e23 = h(e12) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f183,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f16,f180,f176,f172,f168]) ).

fof(f16,plain,
    ( e20 = h(e11)
    | e21 = h(e11)
    | e22 = h(e11)
    | e23 = h(e11) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ALG042+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.15  % 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 : n013.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
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 19:58:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  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.wjdBGIS3I7/Vampire---4.8_19059
% 0.60/0.76  % (19491)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.76  % (19484)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  % (19487)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  % (19486)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  % (19485)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  % (19489)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)
% 0.60/0.76  % (19488)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  % (19490)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  % (19491)Refutation not found, incomplete strategy% (19491)------------------------------
% 0.60/0.76  % (19491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (19491)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (19491)Memory used [KB]: 1085
% 0.60/0.76  % (19491)Time elapsed: 0.003 s
% 0.60/0.76  % (19491)Instructions burned: 6 (million)
% 0.60/0.76  % (19491)------------------------------
% 0.60/0.76  % (19491)------------------------------
% 0.60/0.76  % (19488)Refutation not found, incomplete strategy% (19488)------------------------------
% 0.60/0.76  % (19488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (19488)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (19488)Memory used [KB]: 1099
% 0.60/0.76  % (19488)Time elapsed: 0.005 s
% 0.60/0.76  % (19488)Instructions burned: 7 (million)
% 0.60/0.76  % (19484)Refutation not found, incomplete strategy% (19484)------------------------------
% 0.60/0.76  % (19484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (19484)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (19484)Memory used [KB]: 1098
% 0.60/0.76  % (19484)Time elapsed: 0.005 s
% 0.60/0.76  % (19484)Instructions burned: 8 (million)
% 0.60/0.76  % (19488)------------------------------
% 0.60/0.76  % (19488)------------------------------
% 0.60/0.76  % (19484)------------------------------
% 0.60/0.76  % (19484)------------------------------
% 0.60/0.76  % (19493)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.76  % (19492)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.76  % (19489)Refutation not found, incomplete strategy% (19489)------------------------------
% 0.60/0.76  % (19489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (19489)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (19489)Memory used [KB]: 1171
% 0.60/0.76  % (19489)Time elapsed: 0.009 s
% 0.60/0.76  % (19489)Instructions burned: 16 (million)
% 0.60/0.76  % (19494)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.76  % (19489)------------------------------
% 0.60/0.76  % (19489)------------------------------
% 0.60/0.77  % (19493)Refutation not found, incomplete strategy% (19493)------------------------------
% 0.60/0.77  % (19493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (19493)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (19493)Memory used [KB]: 1163
% 0.60/0.77  % (19493)Time elapsed: 0.004 s
% 0.60/0.77  % (19493)Instructions burned: 12 (million)
% 0.60/0.77  % (19493)------------------------------
% 0.60/0.77  % (19493)------------------------------
% 0.60/0.77  % (19496)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.60/0.77  % (19495)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.77  % (19487)Instruction limit reached!
% 0.60/0.77  % (19487)------------------------------
% 0.60/0.77  % (19487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (19487)Termination reason: Unknown
% 0.60/0.77  % (19487)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (19487)Memory used [KB]: 1281
% 0.60/0.77  % (19487)Time elapsed: 0.018 s
% 0.60/0.77  % (19487)Instructions burned: 33 (million)
% 0.60/0.77  % (19487)------------------------------
% 0.60/0.77  % (19487)------------------------------
% 0.60/0.77  % (19490)First to succeed.
% 0.60/0.78  % (19497)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.60/0.78  % (19490)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19319"
% 0.60/0.78  % (19490)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Theorem for Vampire---4
% 0.60/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78  % (19490)------------------------------
% 0.60/0.78  % (19490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (19490)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (19490)Memory used [KB]: 1233
% 0.60/0.78  % (19490)Time elapsed: 0.024 s
% 0.60/0.78  % (19490)Instructions burned: 42 (million)
% 0.60/0.78  % (19319)Success in time 0.402 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------