TSTP Solution File: RNG093+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG093+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : 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 08:54:10 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   73 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :  831 (   0 equ)
%            Maximal formula atoms :   14 (  11 avg)
%            Number of connectives :  329 ( 108   ~;  95   |;  86   &)
%                                         (  13 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  538 ( 538 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  21 usr;  14 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   70 (  47   !;  22   ?;  12   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_5,type,
    sQ9_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f324,plain,
    $false,
    inference(avatar_sat_refutation,[],[f176,f181,f186,f187,f203,f236,f258,f278,f286,f323]) ).

tff(f323,plain,
    ( ~ spl10_4
    | spl10_10 ),
    inference(avatar_contradiction_clause,[],[f322]) ).

tff(f322,plain,
    ( $false
    | ~ spl10_4
    | spl10_10 ),
    inference(subsumption_resolution,[],[f321,f190]) ).

tff(f190,plain,
    aElementOf0(sK0,xJ),
    inference(resolution,[],[f97,f99]) ).

tff(f99,plain,
    aElementOf0(sK0,sdtasasdt0(xI,xJ)),
    inference(cnf_transformation,[],[f71]) ).

tff(f71,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ( ( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
        & aElement0(sK1) )
      | ( ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ))
        & aElementOf0(sK2,sdtasasdt0(xI,xJ)) ) )
    & aElementOf0(sK0,sdtasasdt0(xI,xJ))
    & ! [X3] :
        ( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X3,xJ)
          | ~ aElementOf0(X3,xI) )
        & ( ( aElementOf0(X3,xJ)
            & aElementOf0(X3,xI) )
          | ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f67,f70,f69,f68]) ).

tff(f68,plain,
    ( ? [X0] :
        ( ( ? [X1] :
              ( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
              & aElement0(X1) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X0,sdtasasdt0(xI,xJ)) )
   => ( ( ? [X1] :
            ( ~ aElementOf0(sdtasdt0(X1,sK0),sdtasasdt0(xI,xJ))
            & aElement0(X1) )
        | ? [X2] :
            ( ~ aElementOf0(sdtpldt0(sK0,X2),sdtasasdt0(xI,xJ))
            & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
      & aElementOf0(sK0,sdtasasdt0(xI,xJ)) ) ),
    introduced(choice_axiom,[]) ).

tff(f69,plain,
    ( ? [X1] :
        ( ~ aElementOf0(sdtasdt0(X1,sK0),sdtasasdt0(xI,xJ))
        & aElement0(X1) )
   => ( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
      & aElement0(sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f70,plain,
    ( ? [X2] :
        ( ~ aElementOf0(sdtpldt0(sK0,X2),sdtasasdt0(xI,xJ))
        & aElementOf0(X2,sdtasasdt0(xI,xJ)) )
   => ( ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ))
      & aElementOf0(sK2,sdtasasdt0(xI,xJ)) ) ),
    introduced(choice_axiom,[]) ).

tff(f67,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X0] :
        ( ( ? [X1] :
              ( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
              & aElement0(X1) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X0,sdtasasdt0(xI,xJ)) )
    & ! [X3] :
        ( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X3,xJ)
          | ~ aElementOf0(X3,xI) )
        & ( ( aElementOf0(X3,xJ)
            & aElementOf0(X3,xI) )
          | ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(rectify,[],[f66]) ).

tff(f66,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
              & aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X1,sdtasasdt0(xI,xJ)) )
    & ! [X0] :
        ( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X0,xJ)
          | ~ aElementOf0(X0,xI) )
        & ( ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) )
          | ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(flattening,[],[f65]) ).

tff(f65,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
              & aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X1,sdtasasdt0(xI,xJ)) )
    & ! [X0] :
        ( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X0,xJ)
          | ~ aElementOf0(X0,xI) )
        & ( ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) )
          | ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(nnf_transformation,[],[f37]) ).

tff(f37,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
              & aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X1,sdtasasdt0(xI,xJ)) )
    & ! [X0] :
        ( aElementOf0(X0,sdtasasdt0(xI,xJ))
      <=> ( aElementOf0(X0,xJ)
          & aElementOf0(X0,xI) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(flattening,[],[f36]) ).

tff(f36,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
              & aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X1,sdtasasdt0(xI,xJ)) )
    & ! [X0] :
        ( aElementOf0(X0,sdtasasdt0(xI,xJ))
      <=> ( aElementOf0(X0,xJ)
          & aElementOf0(X0,xI) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(ennf_transformation,[],[f30]) ).

tff(f30,plain,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          <=> ( aElementOf0(X0,xJ)
              & aElementOf0(X0,xI) ) )
        & aSet0(sdtasasdt0(xI,xJ)) )
     => ( aIdeal0(sdtasasdt0(xI,xJ))
        | ! [X1] :
            ( aElementOf0(X1,sdtasasdt0(xI,xJ))
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ)) )
              & ! [X3] :
                  ( aElementOf0(X3,sdtasasdt0(xI,xJ))
                 => aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ)) ) ) ) ) ),
    inference(rectify,[],[f28]) ).

tff(f28,negated_conjecture,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          <=> ( aElementOf0(X0,xJ)
              & aElementOf0(X0,xI) ) )
        & aSet0(sdtasasdt0(xI,xJ)) )
     => ( aIdeal0(sdtasasdt0(xI,xJ))
        | ! [X0] :
            ( aElementOf0(X0,sdtasasdt0(xI,xJ))
           => ( ! [X1] :
                  ( aElement0(X1)
                 => aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) )
              & ! [X1] :
                  ( aElementOf0(X1,sdtasasdt0(xI,xJ))
                 => aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ) ),
    inference(negated_conjecture,[],[f27]) ).

tff(f27,conjecture,
    ( ( ! [X0] :
          ( aElementOf0(X0,sdtasasdt0(xI,xJ))
        <=> ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) ) )
      & aSet0(sdtasasdt0(xI,xJ)) )
   => ( aIdeal0(sdtasasdt0(xI,xJ))
      | ! [X0] :
          ( aElementOf0(X0,sdtasasdt0(xI,xJ))
         => ( ! [X1] :
                ( aElement0(X1)
               => aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) )
            & ! [X1] :
                ( aElementOf0(X1,sdtasasdt0(xI,xJ))
               => aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.D2b3K5zlvk/Vampire---4.8_15255',m__) ).

tff(f97,plain,
    ! [X3: $i] :
      ( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
      | aElementOf0(X3,xJ) ),
    inference(cnf_transformation,[],[f71]) ).

tff(f321,plain,
    ( ~ aElementOf0(sK0,xJ)
    | ~ spl10_4
    | spl10_10 ),
    inference(subsumption_resolution,[],[f320,f185]) ).

tff(f185,plain,
    ( aElement0(sK1)
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f183]) ).

tff(f183,plain,
    ( spl10_4
  <=> aElement0(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

tff(f320,plain,
    ( ~ aElement0(sK1)
    | ~ aElementOf0(sK0,xJ)
    | spl10_10 ),
    inference(resolution,[],[f277,f93]) ).

tff(f93,plain,
    ! [X0: $i,X1: $i] :
      ( aElementOf0(sdtasdt0(X1,X0),xJ)
      | ~ aElement0(X1)
      | ~ aElementOf0(X0,xJ) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,plain,
    ( aIdeal0(xJ)
    & ! [X0] :
        ( ( ! [X1] :
              ( aElementOf0(sdtasdt0(X1,X0),xJ)
              | ~ aElement0(X1) )
          & ! [X2] :
              ( aElementOf0(sdtpldt0(X0,X2),xJ)
              | ~ aElementOf0(X2,xJ) ) )
        | ~ aElementOf0(X0,xJ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & ! [X3] :
        ( ( ! [X4] :
              ( aElementOf0(sdtasdt0(X4,X3),xI)
              | ~ aElement0(X4) )
          & ! [X5] :
              ( aElementOf0(sdtpldt0(X3,X5),xI)
              | ~ aElementOf0(X5,xI) ) )
        | ~ aElementOf0(X3,xI) )
    & aSet0(xI) ),
    inference(ennf_transformation,[],[f29]) ).

tff(f29,plain,
    ( aIdeal0(xJ)
    & ! [X0] :
        ( aElementOf0(X0,xJ)
       => ( ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xJ) )
          & ! [X2] :
              ( aElementOf0(X2,xJ)
             => aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & ! [X3] :
        ( aElementOf0(X3,xI)
       => ( ! [X4] :
              ( aElement0(X4)
             => aElementOf0(sdtasdt0(X4,X3),xI) )
          & ! [X5] :
              ( aElementOf0(X5,xI)
             => aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
    & aSet0(xI) ),
    inference(rectify,[],[f26]) ).

tff(f26,axiom,
    ( aIdeal0(xJ)
    & ! [X0] :
        ( aElementOf0(X0,xJ)
       => ( ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xJ) )
          & ! [X1] :
              ( aElementOf0(X1,xJ)
             => aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & ! [X0] :
        ( aElementOf0(X0,xI)
       => ( ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xI) )
          & ! [X1] :
              ( aElementOf0(X1,xI)
             => aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
    & aSet0(xI) ),
    file('/export/starexec/sandbox/tmp/tmp.D2b3K5zlvk/Vampire---4.8_15255',m__1150) ).

tff(f277,plain,
    ( ~ aElementOf0(sdtasdt0(sK1,sK0),xJ)
    | spl10_10 ),
    inference(avatar_component_clause,[],[f275]) ).

tff(f275,plain,
    ( spl10_10
  <=> aElementOf0(sdtasdt0(sK1,sK0),xJ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

tff(f286,plain,
    ( ~ spl10_4
    | spl10_9 ),
    inference(avatar_contradiction_clause,[],[f285]) ).

tff(f285,plain,
    ( $false
    | ~ spl10_4
    | spl10_9 ),
    inference(subsumption_resolution,[],[f284,f188]) ).

tff(f188,plain,
    aElementOf0(sK0,xI),
    inference(resolution,[],[f96,f99]) ).

tff(f96,plain,
    ! [X3: $i] :
      ( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
      | aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f71]) ).

tff(f284,plain,
    ( ~ aElementOf0(sK0,xI)
    | ~ spl10_4
    | spl10_9 ),
    inference(subsumption_resolution,[],[f283,f185]) ).

tff(f283,plain,
    ( ~ aElement0(sK1)
    | ~ aElementOf0(sK0,xI)
    | spl10_9 ),
    inference(resolution,[],[f273,f89]) ).

tff(f89,plain,
    ! [X3: $i,X4: $i] :
      ( aElementOf0(sdtasdt0(X4,X3),xI)
      | ~ aElement0(X4)
      | ~ aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f273,plain,
    ( ~ aElementOf0(sdtasdt0(sK1,sK0),xI)
    | spl10_9 ),
    inference(avatar_component_clause,[],[f271]) ).

tff(f271,plain,
    ( spl10_9
  <=> aElementOf0(sdtasdt0(sK1,sK0),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

tff(f278,plain,
    ( ~ spl10_9
    | ~ spl10_10
    | spl10_2 ),
    inference(avatar_split_clause,[],[f269,f173,f275,f271]) ).

tff(f173,plain,
    ( spl10_2
  <=> aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

tff(f269,plain,
    ( ~ aElementOf0(sdtasdt0(sK1,sK0),xJ)
    | ~ aElementOf0(sdtasdt0(sK1,sK0),xI)
    | spl10_2 ),
    inference(resolution,[],[f175,f98]) ).

tff(f98,plain,
    ! [X3: $i] :
      ( aElementOf0(X3,sdtasasdt0(xI,xJ))
      | ~ aElementOf0(X3,xJ)
      | ~ aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f71]) ).

tff(f175,plain,
    ( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
    | spl10_2 ),
    inference(avatar_component_clause,[],[f173]) ).

tff(f258,plain,
    ( ~ spl10_3
    | spl10_6 ),
    inference(avatar_contradiction_clause,[],[f257]) ).

tff(f257,plain,
    ( $false
    | ~ spl10_3
    | spl10_6 ),
    inference(subsumption_resolution,[],[f256,f190]) ).

tff(f256,plain,
    ( ~ aElementOf0(sK0,xJ)
    | ~ spl10_3
    | spl10_6 ),
    inference(subsumption_resolution,[],[f255,f191]) ).

tff(f191,plain,
    ( aElementOf0(sK2,xJ)
    | ~ spl10_3 ),
    inference(resolution,[],[f97,f180]) ).

tff(f180,plain,
    ( aElementOf0(sK2,sdtasasdt0(xI,xJ))
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f178]) ).

tff(f178,plain,
    ( spl10_3
  <=> aElementOf0(sK2,sdtasasdt0(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

tff(f255,plain,
    ( ~ aElementOf0(sK2,xJ)
    | ~ aElementOf0(sK0,xJ)
    | spl10_6 ),
    inference(resolution,[],[f202,f92]) ).

tff(f92,plain,
    ! [X2: $i,X0: $i] :
      ( aElementOf0(sdtpldt0(X0,X2),xJ)
      | ~ aElementOf0(X2,xJ)
      | ~ aElementOf0(X0,xJ) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f202,plain,
    ( ~ aElementOf0(sdtpldt0(sK0,sK2),xJ)
    | spl10_6 ),
    inference(avatar_component_clause,[],[f200]) ).

tff(f200,plain,
    ( spl10_6
  <=> aElementOf0(sdtpldt0(sK0,sK2),xJ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

tff(f236,plain,
    ( ~ spl10_3
    | spl10_5 ),
    inference(avatar_contradiction_clause,[],[f235]) ).

tff(f235,plain,
    ( $false
    | ~ spl10_3
    | spl10_5 ),
    inference(subsumption_resolution,[],[f234,f188]) ).

tff(f234,plain,
    ( ~ aElementOf0(sK0,xI)
    | ~ spl10_3
    | spl10_5 ),
    inference(subsumption_resolution,[],[f232,f189]) ).

tff(f189,plain,
    ( aElementOf0(sK2,xI)
    | ~ spl10_3 ),
    inference(resolution,[],[f96,f180]) ).

tff(f232,plain,
    ( ~ aElementOf0(sK2,xI)
    | ~ aElementOf0(sK0,xI)
    | spl10_5 ),
    inference(resolution,[],[f88,f198]) ).

tff(f198,plain,
    ( ~ aElementOf0(sdtpldt0(sK0,sK2),xI)
    | spl10_5 ),
    inference(avatar_component_clause,[],[f196]) ).

tff(f196,plain,
    ( spl10_5
  <=> aElementOf0(sdtpldt0(sK0,sK2),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

tff(f88,plain,
    ! [X3: $i,X5: $i] :
      ( aElementOf0(sdtpldt0(X3,X5),xI)
      | ~ aElementOf0(X5,xI)
      | ~ aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f203,plain,
    ( ~ spl10_5
    | ~ spl10_6
    | spl10_1 ),
    inference(avatar_split_clause,[],[f192,f169,f200,f196]) ).

tff(f169,plain,
    ( spl10_1
  <=> aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

tff(f192,plain,
    ( ~ aElementOf0(sdtpldt0(sK0,sK2),xJ)
    | ~ aElementOf0(sdtpldt0(sK0,sK2),xI)
    | spl10_1 ),
    inference(resolution,[],[f98,f171]) ).

tff(f171,plain,
    ( ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ))
    | spl10_1 ),
    inference(avatar_component_clause,[],[f169]) ).

tff(f187,plain,
    ( spl10_3
    | spl10_4 ),
    inference(avatar_split_clause,[],[f100,f183,f178]) ).

tff(f100,plain,
    ( aElement0(sK1)
    | aElementOf0(sK2,sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f71]) ).

tff(f186,plain,
    ( ~ spl10_1
    | spl10_4 ),
    inference(avatar_split_clause,[],[f101,f183,f169]) ).

tff(f101,plain,
    ( aElement0(sK1)
    | ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f71]) ).

tff(f181,plain,
    ( spl10_3
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f102,f173,f178]) ).

tff(f102,plain,
    ( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
    | aElementOf0(sK2,sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f71]) ).

tff(f176,plain,
    ( ~ spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f103,f173,f169]) ).

tff(f103,plain,
    ( ~ aElementOf0(sdtasdt0(sK1,sK0),sdtasasdt0(xI,xJ))
    | ~ aElementOf0(sdtpldt0(sK0,sK2),sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : RNG093+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % 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 : n004.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 18:14:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ 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.D2b3K5zlvk/Vampire---4.8_15255
% 0.59/0.74  % (15517)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)
% 0.59/0.74  % (15520)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)
% 0.59/0.74  % (15519)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (15518)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)
% 0.59/0.74  % (15521)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)
% 0.59/0.74  % (15522)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)
% 0.59/0.74  % (15524)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)
% 0.59/0.74  % (15523)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)
% 0.59/0.75  % (15517)First to succeed.
% 0.59/0.75  % (15517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15507"
% 0.59/0.75  % (15517)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (15517)------------------------------
% 0.59/0.75  % (15517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (15517)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (15517)Memory used [KB]: 1118
% 0.59/0.75  % (15517)Time elapsed: 0.005 s
% 0.59/0.75  % (15517)Instructions burned: 11 (million)
% 0.59/0.75  % (15507)Success in time 0.378 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------