TSTP Solution File: SEU013+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU013+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 09:19:57 EDT 2024

% Result   : Theorem 1.36s 0.87s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  129 (  17 unt;   0 def)
%            Number of atoms       :  543 (  59 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  646 ( 232   ~; 355   |;  34   &)
%                                         (  11 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   91 (  87   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f418,plain,
    $false,
    inference(avatar_sat_refutation,[],[f159,f187,f202,f255,f290,f417]) ).

fof(f417,plain,
    ( spl9_1
    | spl9_3
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(avatar_split_clause,[],[f415,f288,f185,f154,f157,f151]) ).

fof(f151,plain,
    ( spl9_1
  <=> relation(relation_composition(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f157,plain,
    ( spl9_3
  <=> function(relation_composition(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f154,plain,
    ( spl9_2
  <=> in(sK5(relation_composition(sK0,sK1)),relation_dom(relation_composition(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f185,plain,
    ( spl9_4
  <=> in(sK6(relation_composition(sK0,sK1)),relation_dom(relation_composition(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f288,plain,
    ( spl9_9
  <=> apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(relation_composition(sK0,sK1),sK6(relation_composition(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).

fof(f415,plain,
    ( function(relation_composition(sK0,sK1))
    | relation(relation_composition(sK0,sK1))
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f414,f107]) ).

fof(f107,plain,
    one_to_one(relation_composition(sK0,sK1)),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f66,plain,
    ~ one_to_one(relation_composition(sK0,sK1)),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ one_to_one(relation_composition(X0,X1))
          & one_to_one(X1)
          & one_to_one(X0)
          & function(X1)
          & relation(X1) )
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ one_to_one(relation_composition(X0,X1))
          & one_to_one(X1)
          & one_to_one(X0)
          & function(X1)
          & relation(X1) )
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ! [X1] :
            ( ( function(X1)
              & relation(X1) )
           => ( ( one_to_one(X1)
                & one_to_one(X0) )
             => one_to_one(relation_composition(X0,X1)) ) ) ),
    inference(negated_conjecture,[],[f30]) ).

fof(f30,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1] :
          ( ( function(X1)
            & relation(X1) )
         => ( ( one_to_one(X1)
              & one_to_one(X0) )
           => one_to_one(relation_composition(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Avy6ypiLvf/Vampire---4.8_8963',t46_funct_1) ).

fof(f414,plain,
    ( function(relation_composition(sK0,sK1))
    | relation(relation_composition(sK0,sK1))
    | ~ one_to_one(relation_composition(sK0,sK1))
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(trivial_inequality_removal,[],[f413]) ).

fof(f413,plain,
    ( sK5(relation_composition(sK0,sK1)) != sK5(relation_composition(sK0,sK1))
    | function(relation_composition(sK0,sK1))
    | relation(relation_composition(sK0,sK1))
    | ~ one_to_one(relation_composition(sK0,sK1))
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(superposition,[],[f127,f406]) ).

fof(f406,plain,
    ( sK5(relation_composition(sK0,sK1)) = sK6(relation_composition(sK0,sK1))
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f405,f271]) ).

fof(f271,plain,
    ( in(sK5(relation_composition(sK0,sK1)),relation_dom(sK0))
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f270,f111]) ).

fof(f111,plain,
    ~ relation(sK1),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f62,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f38]) ).

fof(f270,plain,
    ( in(sK5(relation_composition(sK0,sK1)),relation_dom(sK0))
    | relation(sK1)
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f269,f105]) ).

fof(f105,plain,
    ~ function(sK0),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f68,plain,
    function(sK0),
    inference(cnf_transformation,[],[f38]) ).

fof(f269,plain,
    ( function(sK0)
    | in(sK5(relation_composition(sK0,sK1)),relation_dom(sK0))
    | relation(sK1)
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f268,f106]) ).

fof(f106,plain,
    ~ relation(sK0),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f67,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f38]) ).

fof(f268,plain,
    ( relation(sK0)
    | function(sK0)
    | in(sK5(relation_composition(sK0,sK1)),relation_dom(sK0))
    | relation(sK1)
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f263,f110]) ).

fof(f110,plain,
    ~ function(sK1),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f63,plain,
    function(sK1),
    inference(cnf_transformation,[],[f38]) ).

fof(f263,plain,
    ( function(sK1)
    | relation(sK0)
    | function(sK0)
    | in(sK5(relation_composition(sK0,sK1)),relation_dom(sK0))
    | relation(sK1)
    | ~ spl9_2 ),
    inference(resolution,[],[f155,f143]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | function(X1)
      | relation(X2)
      | function(X2)
      | in(X0,relation_dom(X2))
      | relation(X1) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X1)
      | ~ function(X1)
      | ~ relation(X2)
      | ~ function(X2)
      | in(X0,relation_dom(X2))
      | ~ in(X0,relation_dom(relation_composition(X2,X1))) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Avy6ypiLvf/Vampire---4.8_8963',t21_funct_1) ).

fof(f155,plain,
    ( in(sK5(relation_composition(sK0,sK1)),relation_dom(relation_composition(sK0,sK1)))
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f405,plain,
    ( ~ in(sK5(relation_composition(sK0,sK1)),relation_dom(sK0))
    | sK5(relation_composition(sK0,sK1)) = sK6(relation_composition(sK0,sK1))
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(equality_resolution,[],[f399]) ).

fof(f399,plain,
    ( ! [X0] :
        ( apply(sK0,sK5(relation_composition(sK0,sK1))) != apply(sK0,X0)
        | ~ in(X0,relation_dom(sK0))
        | sK6(relation_composition(sK0,sK1)) = X0 )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f398,f109]) ).

fof(f109,plain,
    ~ one_to_one(sK0),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f64,plain,
    one_to_one(sK0),
    inference(cnf_transformation,[],[f38]) ).

fof(f398,plain,
    ( ! [X0] :
        ( apply(sK0,sK5(relation_composition(sK0,sK1))) != apply(sK0,X0)
        | ~ in(X0,relation_dom(sK0))
        | sK6(relation_composition(sK0,sK1)) = X0
        | one_to_one(sK0) )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f397,f106]) ).

fof(f397,plain,
    ( ! [X0] :
        ( apply(sK0,sK5(relation_composition(sK0,sK1))) != apply(sK0,X0)
        | ~ in(X0,relation_dom(sK0))
        | relation(sK0)
        | sK6(relation_composition(sK0,sK1)) = X0
        | one_to_one(sK0) )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f396,f222]) ).

fof(f222,plain,
    ( in(sK6(relation_composition(sK0,sK1)),relation_dom(sK0))
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f221,f111]) ).

fof(f221,plain,
    ( in(sK6(relation_composition(sK0,sK1)),relation_dom(sK0))
    | relation(sK1)
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f220,f105]) ).

fof(f220,plain,
    ( function(sK0)
    | in(sK6(relation_composition(sK0,sK1)),relation_dom(sK0))
    | relation(sK1)
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f219,f106]) ).

fof(f219,plain,
    ( relation(sK0)
    | function(sK0)
    | in(sK6(relation_composition(sK0,sK1)),relation_dom(sK0))
    | relation(sK1)
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f214,f110]) ).

fof(f214,plain,
    ( function(sK1)
    | relation(sK0)
    | function(sK0)
    | in(sK6(relation_composition(sK0,sK1)),relation_dom(sK0))
    | relation(sK1)
    | ~ spl9_4 ),
    inference(resolution,[],[f186,f143]) ).

fof(f186,plain,
    ( in(sK6(relation_composition(sK0,sK1)),relation_dom(relation_composition(sK0,sK1)))
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f396,plain,
    ( ! [X0] :
        ( apply(sK0,sK5(relation_composition(sK0,sK1))) != apply(sK0,X0)
        | ~ in(X0,relation_dom(sK0))
        | ~ in(sK6(relation_composition(sK0,sK1)),relation_dom(sK0))
        | relation(sK0)
        | sK6(relation_composition(sK0,sK1)) = X0
        | one_to_one(sK0) )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f391,f105]) ).

fof(f391,plain,
    ( ! [X0] :
        ( apply(sK0,sK5(relation_composition(sK0,sK1))) != apply(sK0,X0)
        | function(sK0)
        | ~ in(X0,relation_dom(sK0))
        | ~ in(sK6(relation_composition(sK0,sK1)),relation_dom(sK0))
        | relation(sK0)
        | sK6(relation_composition(sK0,sK1)) = X0
        | one_to_one(sK0) )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(superposition,[],[f131,f386]) ).

fof(f386,plain,
    ( apply(sK0,sK5(relation_composition(sK0,sK1))) = apply(sK0,sK6(relation_composition(sK0,sK1)))
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f385,f275]) ).

fof(f275,plain,
    ( in(apply(sK0,sK5(relation_composition(sK0,sK1))),relation_dom(sK1))
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f274,f111]) ).

fof(f274,plain,
    ( in(apply(sK0,sK5(relation_composition(sK0,sK1))),relation_dom(sK1))
    | relation(sK1)
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f273,f105]) ).

fof(f273,plain,
    ( function(sK0)
    | in(apply(sK0,sK5(relation_composition(sK0,sK1))),relation_dom(sK1))
    | relation(sK1)
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f272,f106]) ).

fof(f272,plain,
    ( relation(sK0)
    | function(sK0)
    | in(apply(sK0,sK5(relation_composition(sK0,sK1))),relation_dom(sK1))
    | relation(sK1)
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f264,f110]) ).

fof(f264,plain,
    ( function(sK1)
    | relation(sK0)
    | function(sK0)
    | in(apply(sK0,sK5(relation_composition(sK0,sK1))),relation_dom(sK1))
    | relation(sK1)
    | ~ spl9_2 ),
    inference(resolution,[],[f155,f142]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | function(X1)
      | relation(X2)
      | function(X2)
      | in(apply(X2,X0),relation_dom(X1))
      | relation(X1) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X1)
      | ~ function(X1)
      | ~ relation(X2)
      | ~ function(X2)
      | in(apply(X2,X0),relation_dom(X1))
      | ~ in(X0,relation_dom(relation_composition(X2,X1))) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f385,plain,
    ( ~ in(apply(sK0,sK5(relation_composition(sK0,sK1))),relation_dom(sK1))
    | apply(sK0,sK5(relation_composition(sK0,sK1))) = apply(sK0,sK6(relation_composition(sK0,sK1)))
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(equality_resolution,[],[f364]) ).

fof(f364,plain,
    ( ! [X0] :
        ( apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1)))) != apply(sK1,X0)
        | ~ in(X0,relation_dom(sK1))
        | apply(sK0,sK6(relation_composition(sK0,sK1))) = X0 )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f363,f108]) ).

fof(f108,plain,
    ~ one_to_one(sK1),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f65,plain,
    one_to_one(sK1),
    inference(cnf_transformation,[],[f38]) ).

fof(f363,plain,
    ( ! [X0] :
        ( apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1)))) != apply(sK1,X0)
        | ~ in(X0,relation_dom(sK1))
        | apply(sK0,sK6(relation_composition(sK0,sK1))) = X0
        | one_to_one(sK1) )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f362,f111]) ).

fof(f362,plain,
    ( ! [X0] :
        ( apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1)))) != apply(sK1,X0)
        | ~ in(X0,relation_dom(sK1))
        | relation(sK1)
        | apply(sK0,sK6(relation_composition(sK0,sK1))) = X0
        | one_to_one(sK1) )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f361,f226]) ).

fof(f226,plain,
    ( in(apply(sK0,sK6(relation_composition(sK0,sK1))),relation_dom(sK1))
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f225,f111]) ).

fof(f225,plain,
    ( in(apply(sK0,sK6(relation_composition(sK0,sK1))),relation_dom(sK1))
    | relation(sK1)
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f224,f105]) ).

fof(f224,plain,
    ( function(sK0)
    | in(apply(sK0,sK6(relation_composition(sK0,sK1))),relation_dom(sK1))
    | relation(sK1)
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f223,f106]) ).

fof(f223,plain,
    ( relation(sK0)
    | function(sK0)
    | in(apply(sK0,sK6(relation_composition(sK0,sK1))),relation_dom(sK1))
    | relation(sK1)
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f215,f110]) ).

fof(f215,plain,
    ( function(sK1)
    | relation(sK0)
    | function(sK0)
    | in(apply(sK0,sK6(relation_composition(sK0,sK1))),relation_dom(sK1))
    | relation(sK1)
    | ~ spl9_4 ),
    inference(resolution,[],[f186,f142]) ).

fof(f361,plain,
    ( ! [X0] :
        ( apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1)))) != apply(sK1,X0)
        | ~ in(X0,relation_dom(sK1))
        | ~ in(apply(sK0,sK6(relation_composition(sK0,sK1))),relation_dom(sK1))
        | relation(sK1)
        | apply(sK0,sK6(relation_composition(sK0,sK1))) = X0
        | one_to_one(sK1) )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f356,f110]) ).

fof(f356,plain,
    ( ! [X0] :
        ( apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1)))) != apply(sK1,X0)
        | function(sK1)
        | ~ in(X0,relation_dom(sK1))
        | ~ in(apply(sK0,sK6(relation_composition(sK0,sK1))),relation_dom(sK1))
        | relation(sK1)
        | apply(sK0,sK6(relation_composition(sK0,sK1))) = X0
        | one_to_one(sK1) )
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(superposition,[],[f131,f345]) ).

fof(f345,plain,
    ( apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1)))) = apply(sK1,apply(sK0,sK6(relation_composition(sK0,sK1))))
    | ~ spl9_2
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(backward_demodulation,[],[f301,f279]) ).

fof(f279,plain,
    ( apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1))))
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f278,f111]) ).

fof(f278,plain,
    ( relation(sK1)
    | apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1))))
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f277,f105]) ).

fof(f277,plain,
    ( function(sK0)
    | relation(sK1)
    | apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1))))
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f276,f106]) ).

fof(f276,plain,
    ( relation(sK0)
    | function(sK0)
    | relation(sK1)
    | apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1))))
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f265,f110]) ).

fof(f265,plain,
    ( function(sK1)
    | relation(sK0)
    | function(sK0)
    | relation(sK1)
    | apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK5(relation_composition(sK0,sK1))))
    | ~ spl9_2 ),
    inference(resolution,[],[f155,f140]) ).

fof(f140,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | function(X1)
      | relation(X2)
      | function(X2)
      | relation(X1)
      | apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f98,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X1)
      | ~ function(X1)
      | ~ relation(X2)
      | ~ function(X2)
      | ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
          | ~ in(X0,relation_dom(relation_composition(X2,X1)))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
          | ~ in(X0,relation_dom(relation_composition(X2,X1)))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
           => apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Avy6ypiLvf/Vampire---4.8_8963',t22_funct_1) ).

fof(f301,plain,
    ( apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK6(relation_composition(sK0,sK1))))
    | ~ spl9_4
    | ~ spl9_9 ),
    inference(backward_demodulation,[],[f289,f230]) ).

fof(f230,plain,
    ( apply(relation_composition(sK0,sK1),sK6(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK6(relation_composition(sK0,sK1))))
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f229,f111]) ).

fof(f229,plain,
    ( relation(sK1)
    | apply(relation_composition(sK0,sK1),sK6(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK6(relation_composition(sK0,sK1))))
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f228,f105]) ).

fof(f228,plain,
    ( function(sK0)
    | relation(sK1)
    | apply(relation_composition(sK0,sK1),sK6(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK6(relation_composition(sK0,sK1))))
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f227,f106]) ).

fof(f227,plain,
    ( relation(sK0)
    | function(sK0)
    | relation(sK1)
    | apply(relation_composition(sK0,sK1),sK6(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK6(relation_composition(sK0,sK1))))
    | ~ spl9_4 ),
    inference(subsumption_resolution,[],[f216,f110]) ).

fof(f216,plain,
    ( function(sK1)
    | relation(sK0)
    | function(sK0)
    | relation(sK1)
    | apply(relation_composition(sK0,sK1),sK6(relation_composition(sK0,sK1))) = apply(sK1,apply(sK0,sK6(relation_composition(sK0,sK1))))
    | ~ spl9_4 ),
    inference(resolution,[],[f186,f140]) ).

fof(f289,plain,
    ( apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(relation_composition(sK0,sK1),sK6(relation_composition(sK0,sK1)))
    | ~ spl9_9 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( apply(X0,X1) != apply(X0,X2)
      | function(X0)
      | ~ in(X1,relation_dom(X0))
      | ~ in(X2,relation_dom(X0))
      | relation(X0)
      | X1 = X2
      | one_to_one(X0) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ in(X1,relation_dom(X0))
      | ~ in(X2,relation_dom(X0))
      | apply(X0,X1) != apply(X0,X2)
      | X1 = X2
      | ~ one_to_one(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( ( apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Avy6ypiLvf/Vampire---4.8_8963',d8_funct_1) ).

fof(f127,plain,
    ! [X0] :
      ( sK5(X0) != sK6(X0)
      | function(X0)
      | relation(X0)
      | ~ one_to_one(X0) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | sK5(X0) != sK6(X0)
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f290,plain,
    ( spl9_1
    | spl9_9
    | spl9_3 ),
    inference(avatar_split_clause,[],[f149,f157,f288,f151]) ).

fof(f149,plain,
    ( function(relation_composition(sK0,sK1))
    | apply(relation_composition(sK0,sK1),sK5(relation_composition(sK0,sK1))) = apply(relation_composition(sK0,sK1),sK6(relation_composition(sK0,sK1)))
    | relation(relation_composition(sK0,sK1)) ),
    inference(resolution,[],[f107,f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ~ one_to_one(X0)
      | function(X0)
      | apply(X0,sK5(X0)) = apply(X0,sK6(X0))
      | relation(X0) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | apply(X0,sK5(X0)) = apply(X0,sK6(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f255,plain,
    ~ spl9_1,
    inference(avatar_contradiction_clause,[],[f254]) ).

fof(f254,plain,
    ( $false
    | ~ spl9_1 ),
    inference(subsumption_resolution,[],[f253,f106]) ).

fof(f253,plain,
    ( relation(sK0)
    | ~ spl9_1 ),
    inference(subsumption_resolution,[],[f252,f110]) ).

fof(f252,plain,
    ( function(sK1)
    | relation(sK0)
    | ~ spl9_1 ),
    inference(subsumption_resolution,[],[f251,f111]) ).

fof(f251,plain,
    ( relation(sK1)
    | function(sK1)
    | relation(sK0)
    | ~ spl9_1 ),
    inference(subsumption_resolution,[],[f244,f105]) ).

fof(f244,plain,
    ( function(sK0)
    | relation(sK1)
    | function(sK1)
    | relation(sK0)
    | ~ spl9_1 ),
    inference(resolution,[],[f152,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ relation(relation_composition(X0,X1))
      | function(X0)
      | relation(X1)
      | function(X1)
      | relation(X0) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ relation(X1)
      | ~ function(X1)
      | relation(relation_composition(X0,X1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) )
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) )
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1)
        & function(X0)
        & relation(X0) )
     => ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Avy6ypiLvf/Vampire---4.8_8963',fc1_funct_1) ).

fof(f152,plain,
    ( relation(relation_composition(sK0,sK1))
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f202,plain,
    ~ spl9_3,
    inference(avatar_contradiction_clause,[],[f201]) ).

fof(f201,plain,
    ( $false
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f200,f106]) ).

fof(f200,plain,
    ( relation(sK0)
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f199,f110]) ).

fof(f199,plain,
    ( function(sK1)
    | relation(sK0)
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f198,f111]) ).

fof(f198,plain,
    ( relation(sK1)
    | function(sK1)
    | relation(sK0)
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f196,f105]) ).

fof(f196,plain,
    ( function(sK0)
    | relation(sK1)
    | function(sK1)
    | relation(sK0)
    | ~ spl9_3 ),
    inference(resolution,[],[f158,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ function(relation_composition(X0,X1))
      | function(X0)
      | relation(X1)
      | function(X1)
      | relation(X0) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ relation(X1)
      | ~ function(X1)
      | function(relation_composition(X0,X1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f158,plain,
    ( function(relation_composition(sK0,sK1))
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f187,plain,
    ( spl9_1
    | spl9_4
    | spl9_3 ),
    inference(avatar_split_clause,[],[f148,f157,f185,f151]) ).

fof(f148,plain,
    ( function(relation_composition(sK0,sK1))
    | in(sK6(relation_composition(sK0,sK1)),relation_dom(relation_composition(sK0,sK1)))
    | relation(relation_composition(sK0,sK1)) ),
    inference(resolution,[],[f107,f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ~ one_to_one(X0)
      | function(X0)
      | in(sK6(X0),relation_dom(X0))
      | relation(X0) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | in(sK6(X0),relation_dom(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f159,plain,
    ( spl9_1
    | spl9_2
    | spl9_3 ),
    inference(avatar_split_clause,[],[f147,f157,f154,f151]) ).

fof(f147,plain,
    ( function(relation_composition(sK0,sK1))
    | in(sK5(relation_composition(sK0,sK1)),relation_dom(relation_composition(sK0,sK1)))
    | relation(relation_composition(sK0,sK1)) ),
    inference(resolution,[],[f107,f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ~ one_to_one(X0)
      | function(X0)
      | in(sK5(X0),relation_dom(X0))
      | relation(X0) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | in(sK5(X0),relation_dom(X0))
      | one_to_one(X0) ),
    inference(cnf_transformation,[],[f50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU013+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 10:53:03 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Avy6ypiLvf/Vampire---4.8_8963
% 0.58/0.75  % (9078)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)
% 0.58/0.75  % (9071)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)
% 0.58/0.75  % (9074)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)
% 0.58/0.75  % (9072)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)
% 0.58/0.75  % (9073)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (9075)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)
% 0.58/0.75  % (9076)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)
% 0.58/0.75  % (9077)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)
% 0.58/0.75  % (9078)Refutation not found, incomplete strategy% (9078)------------------------------
% 0.58/0.75  % (9078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (9078)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (9078)Memory used [KB]: 1063
% 0.58/0.75  % (9078)Time elapsed: 0.002 s
% 0.58/0.75  % (9078)Instructions burned: 4 (million)
% 0.58/0.75  % (9078)------------------------------
% 0.58/0.75  % (9078)------------------------------
% 0.60/0.75  % (9076)Refutation not found, incomplete strategy% (9076)------------------------------
% 0.60/0.75  % (9076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (9076)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (9076)Memory used [KB]: 1031
% 0.60/0.75  % (9076)Time elapsed: 0.003 s
% 0.60/0.75  % (9076)Instructions burned: 3 (million)
% 0.60/0.75  % (9076)------------------------------
% 0.60/0.75  % (9076)------------------------------
% 0.60/0.75  % (9079)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)
% 0.60/0.75  % (9075)Refutation not found, incomplete strategy% (9075)------------------------------
% 0.60/0.75  % (9075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (9075)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (9075)Memory used [KB]: 1121
% 0.60/0.75  % (9075)Time elapsed: 0.005 s
% 0.60/0.75  % (9075)Instructions burned: 6 (million)
% 0.60/0.75  % (9075)------------------------------
% 0.60/0.75  % (9075)------------------------------
% 0.60/0.75  % (9080)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  % (9081)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  % (9081)Refutation not found, incomplete strategy% (9081)------------------------------
% 0.60/0.76  % (9081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (9081)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (9081)Memory used [KB]: 1049
% 0.60/0.76  % (9081)Time elapsed: 0.005 s
% 0.60/0.76  % (9081)Instructions burned: 4 (million)
% 0.60/0.76  % (9081)------------------------------
% 0.60/0.76  % (9081)------------------------------
% 0.60/0.76  % (9082)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)
% 0.60/0.76  % (9074)Instruction limit reached!
% 0.60/0.76  % (9074)------------------------------
% 0.60/0.76  % (9074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (9074)Termination reason: Unknown
% 0.60/0.76  % (9074)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (9074)Memory used [KB]: 1656
% 0.60/0.76  % (9074)Time elapsed: 0.018 s
% 0.60/0.76  % (9074)Instructions burned: 33 (million)
% 0.60/0.76  % (9074)------------------------------
% 0.60/0.76  % (9074)------------------------------
% 0.60/0.77  % (9071)Instruction limit reached!
% 0.60/0.77  % (9071)------------------------------
% 0.60/0.77  % (9071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (9071)Termination reason: Unknown
% 0.60/0.77  % (9071)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (9071)Memory used [KB]: 1325
% 0.60/0.77  % (9071)Time elapsed: 0.021 s
% 0.60/0.77  % (9071)Instructions burned: 34 (million)
% 0.60/0.77  % (9071)------------------------------
% 0.60/0.77  % (9071)------------------------------
% 0.60/0.77  % (9079)Instruction limit reached!
% 0.60/0.77  % (9079)------------------------------
% 0.60/0.77  % (9079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (9079)Termination reason: Unknown
% 0.60/0.77  % (9079)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (9079)Memory used [KB]: 1948
% 0.60/0.77  % (9079)Time elapsed: 0.018 s
% 0.60/0.77  % (9079)Instructions burned: 58 (million)
% 0.60/0.77  % (9079)------------------------------
% 0.60/0.77  % (9079)------------------------------
% 0.60/0.77  % (9083)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  % (9085)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.60/0.77  % (9083)Refutation not found, incomplete strategy% (9083)------------------------------
% 0.60/0.77  % (9083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (9083)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (9083)Memory used [KB]: 1037
% 0.60/0.77  % (9083)Time elapsed: 0.005 s
% 0.60/0.77  % (9083)Instructions burned: 4 (million)
% 0.60/0.77  % (9084)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)
% 0.60/0.77  % (9083)------------------------------
% 0.60/0.77  % (9083)------------------------------
% 0.60/0.77  % (9086)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.78  % (9084)Refutation not found, incomplete strategy% (9084)------------------------------
% 0.60/0.78  % (9084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (9084)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (9084)Memory used [KB]: 1170
% 0.60/0.78  % (9084)Time elapsed: 0.007 s
% 0.60/0.78  % (9084)Instructions burned: 8 (million)
% 0.60/0.78  % (9084)------------------------------
% 0.60/0.78  % (9084)------------------------------
% 0.60/0.78  % (9072)Instruction limit reached!
% 0.60/0.78  % (9072)------------------------------
% 0.60/0.78  % (9072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (9072)Termination reason: Unknown
% 0.60/0.78  % (9072)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (9072)Memory used [KB]: 1510
% 0.60/0.78  % (9072)Time elapsed: 0.031 s
% 0.60/0.78  % (9072)Instructions burned: 52 (million)
% 0.60/0.78  % (9072)------------------------------
% 0.60/0.78  % (9072)------------------------------
% 0.60/0.78  % (9087)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.78  % (9088)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.60/0.78  % (9080)Instruction limit reached!
% 0.60/0.78  % (9080)------------------------------
% 0.60/0.78  % (9080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (9080)Termination reason: Unknown
% 0.60/0.78  % (9080)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (9080)Memory used [KB]: 1552
% 0.60/0.78  % (9080)Time elapsed: 0.029 s
% 0.60/0.78  % (9080)Instructions burned: 51 (million)
% 0.60/0.78  % (9080)------------------------------
% 0.60/0.78  % (9080)------------------------------
% 0.60/0.78  % (9077)Instruction limit reached!
% 0.60/0.78  % (9077)------------------------------
% 0.60/0.78  % (9077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (9077)Termination reason: Unknown
% 0.60/0.78  % (9077)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (9077)Memory used [KB]: 1421
% 0.60/0.78  % (9077)Time elapsed: 0.038 s
% 0.60/0.78  % (9077)Instructions burned: 83 (million)
% 0.60/0.78  % (9077)------------------------------
% 0.60/0.78  % (9077)------------------------------
% 0.60/0.79  % (9089)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.60/0.79  % (9090)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.60/0.80  % (9073)Instruction limit reached!
% 0.60/0.80  % (9073)------------------------------
% 0.60/0.80  % (9073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (9073)Termination reason: Unknown
% 0.60/0.80  % (9073)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (9073)Memory used [KB]: 1883
% 0.60/0.80  % (9073)Time elapsed: 0.050 s
% 0.60/0.80  % (9073)Instructions burned: 79 (million)
% 0.60/0.80  % (9073)------------------------------
% 0.60/0.80  % (9073)------------------------------
% 0.60/0.80  % (9082)Instruction limit reached!
% 0.60/0.80  % (9082)------------------------------
% 0.60/0.80  % (9082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (9082)Termination reason: Unknown
% 0.60/0.80  % (9082)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (9082)Memory used [KB]: 1784
% 0.60/0.80  % (9082)Time elapsed: 0.036 s
% 0.60/0.80  % (9082)Instructions burned: 52 (million)
% 0.60/0.80  % (9082)------------------------------
% 0.60/0.80  % (9082)------------------------------
% 0.60/0.80  % (9091)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.60/0.80  % (9092)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.80  % (9090)Instruction limit reached!
% 0.60/0.80  % (9090)------------------------------
% 0.60/0.80  % (9090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (9090)Termination reason: Unknown
% 0.60/0.80  % (9090)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (9090)Memory used [KB]: 1208
% 0.60/0.80  % (9090)Time elapsed: 0.018 s
% 0.60/0.80  % (9090)Instructions burned: 32 (million)
% 0.60/0.80  % (9090)------------------------------
% 0.60/0.80  % (9090)------------------------------
% 0.60/0.81  % (9093)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.91/0.82  % (9089)Instruction limit reached!
% 0.91/0.82  % (9089)------------------------------
% 0.91/0.82  % (9089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.82  % (9089)Termination reason: Unknown
% 0.91/0.82  % (9089)Termination phase: Saturation
% 0.91/0.82  
% 0.91/0.82  % (9089)Memory used [KB]: 2433
% 0.91/0.82  % (9089)Time elapsed: 0.038 s
% 0.91/0.82  % (9089)Instructions burned: 62 (million)
% 0.91/0.82  % (9089)------------------------------
% 0.91/0.82  % (9089)------------------------------
% 0.91/0.83  % (9094)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.91/0.83  % (9092)Instruction limit reached!
% 0.91/0.83  % (9092)------------------------------
% 0.91/0.83  % (9092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.83  % (9092)Termination reason: Unknown
% 0.91/0.83  % (9092)Termination phase: Saturation
% 0.91/0.83  
% 0.91/0.83  % (9092)Memory used [KB]: 2027
% 0.91/0.83  % (9092)Time elapsed: 0.029 s
% 0.91/0.83  % (9092)Instructions burned: 56 (million)
% 0.91/0.83  % (9092)------------------------------
% 0.91/0.83  % (9092)------------------------------
% 0.91/0.83  % (9095)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.91/0.84  % (9093)Instruction limit reached!
% 0.91/0.84  % (9093)------------------------------
% 0.91/0.84  % (9093)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.84  % (9093)Termination reason: Unknown
% 0.91/0.84  % (9088)Instruction limit reached!
% 0.91/0.84  % (9088)------------------------------
% 0.91/0.84  % (9088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.84  % (9093)Termination phase: Saturation
% 0.91/0.84  
% 0.91/0.84  % (9093)Memory used [KB]: 1762
% 0.91/0.84  % (9093)Time elapsed: 0.029 s
% 0.91/0.84  % (9093)Instructions burned: 54 (million)
% 0.91/0.84  % (9093)------------------------------
% 0.91/0.84  % (9093)------------------------------
% 0.91/0.84  % (9088)Termination reason: Unknown
% 0.91/0.84  % (9088)Termination phase: Saturation
% 0.91/0.84  
% 0.91/0.84  % (9088)Memory used [KB]: 1745
% 0.91/0.84  % (9088)Time elapsed: 0.056 s
% 0.91/0.84  % (9088)Instructions burned: 94 (million)
% 0.91/0.84  % (9088)------------------------------
% 0.91/0.84  % (9088)------------------------------
% 0.91/0.84  % (9096)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.91/0.84  % (9097)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.91/0.85  % (9086)Instruction limit reached!
% 0.91/0.85  % (9086)------------------------------
% 0.91/0.85  % (9086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.85  % (9086)Termination reason: Unknown
% 0.91/0.85  % (9086)Termination phase: Saturation
% 0.91/0.85  
% 0.91/0.85  % (9086)Memory used [KB]: 1911
% 0.91/0.85  % (9086)Time elapsed: 0.072 s
% 0.91/0.85  % (9086)Instructions burned: 117 (million)
% 0.91/0.85  % (9086)------------------------------
% 0.91/0.85  % (9086)------------------------------
% 0.91/0.85  % (9085)Instruction limit reached!
% 0.91/0.85  % (9085)------------------------------
% 0.91/0.85  % (9085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.85  % (9085)Termination reason: Unknown
% 0.91/0.85  % (9085)Termination phase: Saturation
% 0.91/0.85  
% 0.91/0.85  % (9085)Memory used [KB]: 2601
% 0.91/0.85  % (9085)Time elapsed: 0.077 s
% 0.91/0.85  % (9085)Instructions burned: 245 (million)
% 0.91/0.85  % (9085)------------------------------
% 0.91/0.85  % (9085)------------------------------
% 0.91/0.85  % (9099)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.91/0.85  % (9099)Refutation not found, incomplete strategy% (9099)------------------------------
% 0.91/0.85  % (9099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.85  % (9099)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.85  
% 0.91/0.85  % (9099)Memory used [KB]: 1034
% 0.91/0.85  % (9099)Time elapsed: 0.001 s
% 0.91/0.85  % (9099)Instructions burned: 3 (million)
% 0.91/0.85  % (9098)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.91/0.85  % (9099)------------------------------
% 0.91/0.85  % (9099)------------------------------
% 0.91/0.85  % (9087)Instruction limit reached!
% 0.91/0.85  % (9087)------------------------------
% 0.91/0.85  % (9087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.85  % (9087)Termination reason: Unknown
% 0.91/0.85  % (9087)Termination phase: Saturation
% 0.91/0.85  
% 0.91/0.85  % (9087)Memory used [KB]: 1877
% 0.91/0.85  % (9087)Time elapsed: 0.072 s
% 0.91/0.85  % (9087)Instructions burned: 143 (million)
% 0.91/0.85  % (9087)------------------------------
% 0.91/0.85  % (9087)------------------------------
% 0.91/0.85  % (9100)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.91/0.85  % (9101)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.91/0.86  % (9094)Instruction limit reached!
% 0.91/0.86  % (9094)------------------------------
% 0.91/0.86  % (9094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.86  % (9094)Termination reason: Unknown
% 0.91/0.86  % (9094)Termination phase: Saturation
% 0.91/0.86  
% 0.91/0.86  % (9094)Memory used [KB]: 1973
% 0.91/0.86  % (9094)Time elapsed: 0.052 s
% 0.91/0.86  % (9094)Instructions burned: 46 (million)
% 0.91/0.86  % (9094)------------------------------
% 0.91/0.86  % (9094)------------------------------
% 0.91/0.86  % (9102)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.91/0.86  % (9096)Instruction limit reached!
% 0.91/0.86  % (9096)------------------------------
% 0.91/0.86  % (9096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.86  % (9096)Termination reason: Unknown
% 0.91/0.86  % (9096)Termination phase: Saturation
% 0.91/0.86  
% 0.91/0.86  % (9096)Memory used [KB]: 1344
% 0.91/0.86  % (9096)Time elapsed: 0.022 s
% 0.91/0.86  % (9096)Instructions burned: 36 (million)
% 0.91/0.86  % (9096)------------------------------
% 0.91/0.86  % (9096)------------------------------
% 0.91/0.86  % (9103)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 1.36/0.87  % (9101)Instruction limit reached!
% 1.36/0.87  % (9101)------------------------------
% 1.36/0.87  % (9101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.36/0.87  % (9101)Termination reason: Unknown
% 1.36/0.87  % (9101)Termination phase: Saturation
% 1.36/0.87  
% 1.36/0.87  % (9101)Memory used [KB]: 1605
% 1.36/0.87  % (9101)Time elapsed: 0.016 s
% 1.36/0.87  % (9101)Instructions burned: 42 (million)
% 1.36/0.87  % (9101)------------------------------
% 1.36/0.87  % (9101)------------------------------
% 1.36/0.87  % (9103)First to succeed.
% 1.36/0.87  % (9102)Also succeeded, but the first one will report.
% 1.36/0.87  % (9104)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.36/0.87  % (9103)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9070"
% 1.36/0.87  % (9097)Instruction limit reached!
% 1.36/0.87  % (9097)------------------------------
% 1.36/0.87  % (9097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.36/0.87  % (9097)Termination reason: Unknown
% 1.36/0.87  % (9097)Termination phase: Saturation
% 1.36/0.87  
% 1.36/0.87  % (9097)Memory used [KB]: 2498
% 1.36/0.87  % (9097)Time elapsed: 0.034 s
% 1.36/0.87  % (9097)Instructions burned: 88 (million)
% 1.36/0.87  % (9097)------------------------------
% 1.36/0.87  % (9097)------------------------------
% 1.36/0.87  % (9103)Refutation found. Thanks to Tanya!
% 1.36/0.87  % SZS status Theorem for Vampire---4
% 1.36/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 1.36/0.87  % (9103)------------------------------
% 1.36/0.87  % (9103)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.36/0.87  % (9103)Termination reason: Refutation
% 1.36/0.87  
% 1.36/0.87  % (9103)Memory used [KB]: 1176
% 1.36/0.87  % (9103)Time elapsed: 0.009 s
% 1.36/0.87  % (9103)Instructions burned: 18 (million)
% 1.36/0.87  % (9070)Success in time 0.51 s
% 1.36/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------