TSTP Solution File: NUM564+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM564+1 : 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 : n014.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 08:13:03 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   76 (  18 unt;   0 def)
%            Number of atoms       :  313 (  68 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  393 ( 156   ~; 149   |;  66   &)
%                                         (  15 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  104 (  91   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f879,plain,
    $false,
    inference(avatar_sat_refutation,[],[f346,f351,f371,f878]) ).

fof(f878,plain,
    ( ~ spl15_1
    | ~ spl15_3
    | ~ spl15_4 ),
    inference(avatar_contradiction_clause,[],[f877]) ).

fof(f877,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_4 ),
    inference(subsumption_resolution,[],[f876,f358]) ).

fof(f358,plain,
    ( aSet0(xS)
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl15_4
  <=> aSet0(xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f876,plain,
    ( ~ aSet0(xS)
    | ~ spl15_1
    | ~ spl15_3 ),
    inference(subsumption_resolution,[],[f873,f336]) ).

fof(f336,plain,
    ~ aElementOf0(slcrc0,szDzozmdt0(xc)),
    inference(forward_demodulation,[],[f301,f208]) ).

fof(f208,plain,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,axiom,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & aFunction0(xc) ),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',m__3453) ).

fof(f301,plain,
    ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
    inference(definition_unfolding,[],[f215,f214]) ).

fof(f214,plain,
    sz00 = xK,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    sz00 = xK,
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',m__3462) ).

fof(f215,plain,
    ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
    inference(flattening,[],[f80]) ).

fof(f80,negated_conjecture,
    ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
    inference(negated_conjecture,[],[f79]) ).

fof(f79,conjecture,
    aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',m__) ).

fof(f873,plain,
    ( aElementOf0(slcrc0,szDzozmdt0(xc))
    | ~ aSet0(xS)
    | ~ spl15_1
    | ~ spl15_3 ),
    inference(superposition,[],[f870,f208]) ).

fof(f870,plain,
    ( ! [X0] :
        ( aElementOf0(slcrc0,slbdtsldtrb0(X0,xK))
        | ~ aSet0(X0) )
    | ~ spl15_1
    | ~ spl15_3 ),
    inference(subsumption_resolution,[],[f869,f459]) ).

fof(f459,plain,
    ( ! [X0] :
        ( aSubsetOf0(slcrc0,X0)
        | ~ aSet0(X0) )
    | ~ spl15_1 ),
    inference(subsumption_resolution,[],[f457,f339]) ).

fof(f339,plain,
    ( aSet0(slcrc0)
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl15_1
  <=> aSet0(slcrc0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f457,plain,
    ! [X0] :
      ( aSubsetOf0(slcrc0,X0)
      | ~ aSet0(slcrc0)
      | ~ aSet0(X0) ),
    inference(resolution,[],[f226,f333]) ).

fof(f333,plain,
    ! [X2] : ~ aElementOf0(X2,slcrc0),
    inference(equality_resolution,[],[f280]) ).

fof(f280,plain,
    ! [X2,X0] :
      ( ~ aElementOf0(X2,X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | aElementOf0(sK13(X0),X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f194,f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ? [X1] : aElementOf0(X1,X0)
     => aElementOf0(sK13(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f194,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( ! [X1] : ~ aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( ~ ? [X1] : aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',mDefEmp) ).

fof(f226,plain,
    ! [X0,X1] :
      ( aElementOf0(sK2(X0,X1),X1)
      | aSubsetOf0(X1,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK2(X0,X1),X0)
              & aElementOf0(sK2(X0,X1),X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f161,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK2(X0,X1),X0)
        & aElementOf0(sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(rectify,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',mDefSub) ).

fof(f869,plain,
    ( ! [X0] :
        ( ~ aSubsetOf0(slcrc0,X0)
        | aElementOf0(slcrc0,slbdtsldtrb0(X0,xK))
        | ~ aSet0(X0) )
    | ~ spl15_3 ),
    inference(subsumption_resolution,[],[f867,f204]) ).

fof(f204,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',m__3418) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ aElementOf0(xK,szNzAzT0)
        | ~ aSubsetOf0(slcrc0,X0)
        | aElementOf0(slcrc0,slbdtsldtrb0(X0,xK))
        | ~ aSet0(X0) )
    | ~ spl15_3 ),
    inference(superposition,[],[f314,f350]) ).

fof(f350,plain,
    ( xK = sbrdtbr0(slcrc0)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f348,plain,
    ( spl15_3
  <=> xK = sbrdtbr0(slcrc0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f314,plain,
    ! [X0,X4] :
      ( ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
      | ~ aSubsetOf0(X4,X0)
      | aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f313]) ).

fof(f313,plain,
    ! [X2,X0,X4] :
      ( aElementOf0(X4,X2)
      | ~ aSubsetOf0(X4,X0)
      | slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
      | ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f238]) ).

fof(f238,plain,
    ! [X2,X0,X1,X4] :
      ( aElementOf0(X4,X2)
      | sbrdtbr0(X4) != X1
      | ~ aSubsetOf0(X4,X0)
      | slbdtsldtrb0(X0,X1) != X2
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ( ( sbrdtbr0(sK4(X0,X1,X2)) != X1
                | ~ aSubsetOf0(sK4(X0,X1,X2),X0)
                | ~ aElementOf0(sK4(X0,X1,X2),X2) )
              & ( ( sbrdtbr0(sK4(X0,X1,X2)) = X1
                  & aSubsetOf0(sK4(X0,X1,X2),X0) )
                | aElementOf0(sK4(X0,X1,X2),X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X4] :
                  ( ( aElementOf0(X4,X2)
                    | sbrdtbr0(X4) != X1
                    | ~ aSubsetOf0(X4,X0) )
                  & ( ( sbrdtbr0(X4) = X1
                      & aSubsetOf0(X4,X0) )
                    | ~ aElementOf0(X4,X2) ) )
              & aSet0(X2) )
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f168,f169]) ).

fof(f169,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( sbrdtbr0(X3) != X1
            | ~ aSubsetOf0(X3,X0)
            | ~ aElementOf0(X3,X2) )
          & ( ( sbrdtbr0(X3) = X1
              & aSubsetOf0(X3,X0) )
            | aElementOf0(X3,X2) ) )
     => ( ( sbrdtbr0(sK4(X0,X1,X2)) != X1
          | ~ aSubsetOf0(sK4(X0,X1,X2),X0)
          | ~ aElementOf0(sK4(X0,X1,X2),X2) )
        & ( ( sbrdtbr0(sK4(X0,X1,X2)) = X1
            & aSubsetOf0(sK4(X0,X1,X2),X0) )
          | aElementOf0(sK4(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sbrdtbr0(X3) != X1
                  | ~ aSubsetOf0(X3,X0)
                  | ~ aElementOf0(X3,X2) )
                & ( ( sbrdtbr0(X3) = X1
                    & aSubsetOf0(X3,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X4] :
                  ( ( aElementOf0(X4,X2)
                    | sbrdtbr0(X4) != X1
                    | ~ aSubsetOf0(X4,X0) )
                  & ( ( sbrdtbr0(X4) = X1
                      & aSubsetOf0(X4,X0) )
                    | ~ aElementOf0(X4,X2) ) )
              & aSet0(X2) )
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(rectify,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sbrdtbr0(X3) != X1
                  | ~ aSubsetOf0(X3,X0)
                  | ~ aElementOf0(X3,X2) )
                & ( ( sbrdtbr0(X3) = X1
                    & aSubsetOf0(X3,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X3] :
                  ( ( aElementOf0(X3,X2)
                    | sbrdtbr0(X3) != X1
                    | ~ aSubsetOf0(X3,X0) )
                  & ( ( sbrdtbr0(X3) = X1
                      & aSubsetOf0(X3,X0) )
                    | ~ aElementOf0(X3,X2) ) )
              & aSet0(X2) )
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sbrdtbr0(X3) != X1
                  | ~ aSubsetOf0(X3,X0)
                  | ~ aElementOf0(X3,X2) )
                & ( ( sbrdtbr0(X3) = X1
                    & aSubsetOf0(X3,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X3] :
                  ( ( aElementOf0(X3,X2)
                    | sbrdtbr0(X3) != X1
                    | ~ aSubsetOf0(X3,X0) )
                  & ( ( sbrdtbr0(X3) = X1
                      & aSubsetOf0(X3,X0) )
                    | ~ aElementOf0(X3,X2) ) )
              & aSet0(X2) )
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aSet0(X0) )
     => ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',mDefSel) ).

fof(f371,plain,
    spl15_4,
    inference(avatar_contradiction_clause,[],[f370]) ).

fof(f370,plain,
    ( $false
    | spl15_4 ),
    inference(subsumption_resolution,[],[f367,f217]) ).

fof(f217,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',mNATSet) ).

fof(f367,plain,
    ( ~ aSet0(szNzAzT0)
    | spl15_4 ),
    inference(resolution,[],[f366,f205]) ).

fof(f205,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',m__3435) ).

fof(f366,plain,
    ( ! [X0] :
        ( ~ aSubsetOf0(xS,X0)
        | ~ aSet0(X0) )
    | spl15_4 ),
    inference(resolution,[],[f224,f359]) ).

fof(f359,plain,
    ( ~ aSet0(xS)
    | spl15_4 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( aSet0(X1)
      | ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f351,plain,
    ( ~ spl15_1
    | spl15_3 ),
    inference(avatar_split_clause,[],[f335,f348,f338]) ).

fof(f335,plain,
    ( xK = sbrdtbr0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(equality_resolution,[],[f310]) ).

fof(f310,plain,
    ! [X0] :
      ( sbrdtbr0(X0) = xK
      | slcrc0 != X0
      | ~ aSet0(X0) ),
    inference(definition_unfolding,[],[f286,f214]) ).

fof(f286,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | slcrc0 != X0
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0] :
      ( ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.OreMsn4A7E/Vampire---4.8_5263',mCardEmpty) ).

fof(f346,plain,
    spl15_1,
    inference(avatar_split_clause,[],[f334,f338]) ).

fof(f334,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f279]) ).

fof(f279,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f196]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : NUM564+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % 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 14:12:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  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.OreMsn4A7E/Vampire---4.8_5263
% 0.60/0.75  % (5526)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)
% 0.60/0.75  % (5528)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75  % (5529)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)
% 0.60/0.75  % (5530)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)
% 0.60/0.75  % (5527)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)
% 0.60/0.75  % (5531)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)
% 0.60/0.75  % (5532)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)
% 0.60/0.75  % (5533)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  % (5526)Instruction limit reached!
% 0.60/0.76  % (5526)------------------------------
% 0.60/0.76  % (5526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (5526)Termination reason: Unknown
% 0.60/0.76  % (5526)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (5526)Memory used [KB]: 1470
% 0.60/0.76  % (5526)Time elapsed: 0.014 s
% 0.60/0.76  % (5526)Instructions burned: 34 (million)
% 0.60/0.76  % (5526)------------------------------
% 0.60/0.76  % (5526)------------------------------
% 0.60/0.76  % (5534)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)
% 0.60/0.77  % (5530)Instruction limit reached!
% 0.60/0.77  % (5530)------------------------------
% 0.60/0.77  % (5530)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (5530)Termination reason: Unknown
% 0.60/0.77  % (5530)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (5530)Memory used [KB]: 1698
% 0.60/0.77  % (5530)Time elapsed: 0.021 s
% 0.60/0.77  % (5530)Instructions burned: 35 (million)
% 0.60/0.77  % (5530)------------------------------
% 0.60/0.77  % (5530)------------------------------
% 0.60/0.77  % (5528)First to succeed.
% 0.60/0.77  % (5529)Instruction limit reached!
% 0.60/0.77  % (5529)------------------------------
% 0.60/0.77  % (5529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (5529)Termination reason: Unknown
% 0.60/0.77  % (5529)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (5529)Memory used [KB]: 1638
% 0.60/0.77  % (5529)Time elapsed: 0.022 s
% 0.60/0.77  % (5529)Instructions burned: 34 (million)
% 0.60/0.77  % (5529)------------------------------
% 0.60/0.77  % (5529)------------------------------
% 0.60/0.77  % (5528)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5516"
% 0.60/0.77  % (5528)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (5528)------------------------------
% 0.60/0.77  % (5528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (5528)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (5528)Memory used [KB]: 1389
% 0.60/0.77  % (5528)Time elapsed: 0.023 s
% 0.60/0.77  % (5528)Instructions burned: 35 (million)
% 0.60/0.77  % (5516)Success in time 0.397 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------