TSTP Solution File: NUM564+1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n012.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 : Wed Aug 31 18:05:50 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   73 (  18 unt;   0 def)
%            Number of atoms       :  309 (  70 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  385 ( 149   ~; 142   |;  69   &)
%                                         (  17 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   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(f603,plain,
    $false,
    inference(avatar_sat_refutation,[],[f512,f514,f540,f602]) ).

fof(f602,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_4 ),
    inference(avatar_contradiction_clause,[],[f601]) ).

fof(f601,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_4 ),
    inference(unit_resulting_resolution,[],[f532,f510,f502,f600,f373]) ).

fof(f373,plain,
    ! [X0,X1] :
      ( aElementOf0(sK11(X0,X1),X1)
      | ~ aSet0(X0)
      | ~ aSet0(X1)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f248,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( aSet0(X1)
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) ) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ~ aSet0(X1)
            | ( ~ aElementOf0(sK11(X0,X1),X0)
              & aElementOf0(sK11(X0,X1),X1) ) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f246,f247]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ aElementOf0(X3,X0)
          & aElementOf0(X3,X1) )
     => ( ~ aElementOf0(sK11(X0,X1),X0)
        & aElementOf0(sK11(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f246,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( aSet0(X1)
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) ) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ~ aSet0(X1)
            | ? [X3] :
                ( ~ aElementOf0(X3,X0)
                & aElementOf0(X3,X1) ) ) )
      | ~ aSet0(X0) ),
    inference(rectify,[],[f245]) ).

fof(f245,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( aSet0(X1)
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) ) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ~ aSet0(X1)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) ) ) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f244]) ).

fof(f244,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( aSet0(X1)
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) ) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ~ aSet0(X1)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) ) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) ) )
        <=> aSubsetOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(f600,plain,
    ( ~ aSubsetOf0(slcrc0,xS)
    | ~ spl25_1
    | ~ spl25_4 ),
    inference(subsumption_resolution,[],[f599,f522]) ).

fof(f522,plain,
    ~ aElementOf0(slcrc0,szDzozmdt0(xc)),
    inference(forward_demodulation,[],[f464,f305]) ).

fof(f305,plain,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,axiom,
    ( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & aFunction0(xc)
    & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).

fof(f464,plain,
    ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
    inference(definition_unfolding,[],[f448,f357]) ).

fof(f357,plain,
    sz00 = xK,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    sz00 = xK,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).

fof(f448,plain,
    ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,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/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f599,plain,
    ( aElementOf0(slcrc0,szDzozmdt0(xc))
    | ~ aSubsetOf0(slcrc0,xS)
    | ~ spl25_1
    | ~ spl25_4 ),
    inference(subsumption_resolution,[],[f598,f532]) ).

fof(f598,plain,
    ( ~ aSet0(xS)
    | ~ aSubsetOf0(slcrc0,xS)
    | aElementOf0(slcrc0,szDzozmdt0(xc))
    | ~ spl25_1 ),
    inference(superposition,[],[f597,f305]) ).

fof(f597,plain,
    ( ! [X0] :
        ( aElementOf0(slcrc0,slbdtsldtrb0(X0,xK))
        | ~ aSet0(X0)
        | ~ aSubsetOf0(slcrc0,X0) )
    | ~ spl25_1 ),
    inference(subsumption_resolution,[],[f596,f430]) ).

fof(f430,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).

fof(f596,plain,
    ( ! [X0] :
        ( ~ aSet0(X0)
        | ~ aElementOf0(xK,szNzAzT0)
        | aElementOf0(slcrc0,slbdtsldtrb0(X0,xK))
        | ~ aSubsetOf0(slcrc0,X0) )
    | ~ spl25_1 ),
    inference(superposition,[],[f474,f507]) ).

fof(f507,plain,
    ( xK = sbrdtbr0(slcrc0)
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl25_1
  <=> xK = sbrdtbr0(slcrc0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).

fof(f474,plain,
    ! [X0,X4] :
      ( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
      | ~ aSet0(X0)
      | ~ aSubsetOf0(X4,X0)
      | ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
    inference(equality_resolution,[],[f473]) ).

fof(f473,plain,
    ! [X2,X0,X4] :
      ( ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
      | ~ aSet0(X0)
      | aElementOf0(X4,X2)
      | ~ aSubsetOf0(X4,X0)
      | slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2 ),
    inference(equality_resolution,[],[f342]) ).

fof(f342,plain,
    ! [X2,X0,X1,X4] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0)
      | aElementOf0(X4,X2)
      | sbrdtbr0(X4) != X1
      | ~ aSubsetOf0(X4,X0)
      | slbdtsldtrb0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f232]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0)
      | ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ~ aSet0(X2)
            | ( ( ~ aElementOf0(sK7(X0,X1,X2),X2)
                | sbrdtbr0(sK7(X0,X1,X2)) != X1
                | ~ aSubsetOf0(sK7(X0,X1,X2),X0) )
              & ( aElementOf0(sK7(X0,X1,X2),X2)
                | ( sbrdtbr0(sK7(X0,X1,X2)) = X1
                  & aSubsetOf0(sK7(X0,X1,X2),X0) ) ) ) )
          & ( ( aSet0(X2)
              & ! [X4] :
                  ( ( ( sbrdtbr0(X4) = X1
                      & aSubsetOf0(X4,X0) )
                    | ~ aElementOf0(X4,X2) )
                  & ( aElementOf0(X4,X2)
                    | sbrdtbr0(X4) != X1
                    | ~ aSubsetOf0(X4,X0) ) ) )
            | slbdtsldtrb0(X0,X1) != X2 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f230,f231]) ).

fof(f231,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ aElementOf0(X3,X2)
            | sbrdtbr0(X3) != X1
            | ~ aSubsetOf0(X3,X0) )
          & ( aElementOf0(X3,X2)
            | ( sbrdtbr0(X3) = X1
              & aSubsetOf0(X3,X0) ) ) )
     => ( ( ~ aElementOf0(sK7(X0,X1,X2),X2)
          | sbrdtbr0(sK7(X0,X1,X2)) != X1
          | ~ aSubsetOf0(sK7(X0,X1,X2),X0) )
        & ( aElementOf0(sK7(X0,X1,X2),X2)
          | ( sbrdtbr0(sK7(X0,X1,X2)) = X1
            & aSubsetOf0(sK7(X0,X1,X2),X0) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0)
      | ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ~ aSet0(X2)
            | ? [X3] :
                ( ( ~ aElementOf0(X3,X2)
                  | sbrdtbr0(X3) != X1
                  | ~ aSubsetOf0(X3,X0) )
                & ( aElementOf0(X3,X2)
                  | ( sbrdtbr0(X3) = X1
                    & aSubsetOf0(X3,X0) ) ) ) )
          & ( ( aSet0(X2)
              & ! [X4] :
                  ( ( ( sbrdtbr0(X4) = X1
                      & aSubsetOf0(X4,X0) )
                    | ~ aElementOf0(X4,X2) )
                  & ( aElementOf0(X4,X2)
                    | sbrdtbr0(X4) != X1
                    | ~ aSubsetOf0(X4,X0) ) ) )
            | slbdtsldtrb0(X0,X1) != X2 ) ) ),
    inference(rectify,[],[f229]) ).

fof(f229,plain,
    ! [X1,X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ aSet0(X1)
      | ! [X2] :
          ( ( slbdtsldtrb0(X1,X0) = X2
            | ~ aSet0(X2)
            | ? [X3] :
                ( ( ~ aElementOf0(X3,X2)
                  | sbrdtbr0(X3) != X0
                  | ~ aSubsetOf0(X3,X1) )
                & ( aElementOf0(X3,X2)
                  | ( sbrdtbr0(X3) = X0
                    & aSubsetOf0(X3,X1) ) ) ) )
          & ( ( aSet0(X2)
              & ! [X3] :
                  ( ( ( sbrdtbr0(X3) = X0
                      & aSubsetOf0(X3,X1) )
                    | ~ aElementOf0(X3,X2) )
                  & ( aElementOf0(X3,X2)
                    | sbrdtbr0(X3) != X0
                    | ~ aSubsetOf0(X3,X1) ) ) )
            | slbdtsldtrb0(X1,X0) != X2 ) ) ),
    inference(flattening,[],[f228]) ).

fof(f228,plain,
    ! [X1,X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ aSet0(X1)
      | ! [X2] :
          ( ( slbdtsldtrb0(X1,X0) = X2
            | ~ aSet0(X2)
            | ? [X3] :
                ( ( ~ aElementOf0(X3,X2)
                  | sbrdtbr0(X3) != X0
                  | ~ aSubsetOf0(X3,X1) )
                & ( aElementOf0(X3,X2)
                  | ( sbrdtbr0(X3) = X0
                    & aSubsetOf0(X3,X1) ) ) ) )
          & ( ( aSet0(X2)
              & ! [X3] :
                  ( ( ( sbrdtbr0(X3) = X0
                      & aSubsetOf0(X3,X1) )
                    | ~ aElementOf0(X3,X2) )
                  & ( aElementOf0(X3,X2)
                    | sbrdtbr0(X3) != X0
                    | ~ aSubsetOf0(X3,X1) ) ) )
            | slbdtsldtrb0(X1,X0) != X2 ) ) ),
    inference(nnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X1,X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ aSet0(X1)
      | ! [X2] :
          ( slbdtsldtrb0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( sbrdtbr0(X3) = X0
                  & aSubsetOf0(X3,X1) )
              <=> aElementOf0(X3,X2) ) ) ) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( slbdtsldtrb0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( sbrdtbr0(X3) = X0
                  & aSubsetOf0(X3,X1) )
              <=> aElementOf0(X3,X2) ) ) )
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aSet0(X1) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ( aElementOf0(X0,szNzAzT0)
        & aSet0(X1) )
     => ! [X2] :
          ( slbdtsldtrb0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( sbrdtbr0(X3) = X0
                  & aSubsetOf0(X3,X1) )
              <=> aElementOf0(X3,X2) ) ) ) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X1,X0] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aSet0(X0) )
     => ! [X2] :
          ( ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) ) )
        <=> slbdtsldtrb0(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).

fof(f502,plain,
    ! [X2] : ~ aElementOf0(X2,slcrc0),
    inference(equality_resolution,[],[f449]) ).

fof(f449,plain,
    ! [X2,X0] :
      ( ~ aElementOf0(X2,X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f295]) ).

fof(f295,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ~ aSet0(X0)
        | aElementOf0(sK24(X0),X0) )
      & ( ( aSet0(X0)
          & ! [X2] : ~ aElementOf0(X2,X0) )
        | slcrc0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f293,f294]) ).

fof(f294,plain,
    ! [X0] :
      ( ? [X1] : aElementOf0(X1,X0)
     => aElementOf0(sK24(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f293,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X2] : ~ aElementOf0(X2,X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f292]) ).

fof(f292,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f291]) ).

fof(f291,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( aSet0(X0)
        & ! [X1] : ~ aElementOf0(X1,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( aSet0(X0)
        & ~ ? [X1] : aElementOf0(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

fof(f510,plain,
    ( aSet0(slcrc0)
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl25_2
  <=> aSet0(slcrc0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f532,plain,
    ( aSet0(xS)
    | ~ spl25_4 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f531,plain,
    ( spl25_4
  <=> aSet0(xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).

fof(f540,plain,
    spl25_4,
    inference(avatar_contradiction_clause,[],[f539]) ).

fof(f539,plain,
    ( $false
    | spl25_4 ),
    inference(unit_resulting_resolution,[],[f441,f358,f533,f376]) ).

fof(f376,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0)
      | aSet0(X1) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f533,plain,
    ( ~ aSet0(xS)
    | spl25_4 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f358,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).

fof(f441,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).

fof(f514,plain,
    spl25_2,
    inference(avatar_split_clause,[],[f501,f509]) ).

fof(f501,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f450]) ).

fof(f450,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f295]) ).

fof(f512,plain,
    ( spl25_1
    | ~ spl25_2 ),
    inference(avatar_split_clause,[],[f475,f509,f505]) ).

fof(f475,plain,
    ( ~ aSet0(slcrc0)
    | xK = sbrdtbr0(slcrc0) ),
    inference(equality_resolution,[],[f456]) ).

fof(f456,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | sbrdtbr0(X0) = xK
      | slcrc0 != X0 ),
    inference(definition_unfolding,[],[f355,f357]) ).

fof(f355,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | sz00 = sbrdtbr0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f236]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) ) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 07:03:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (1731)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49  % (1739)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (1731)Instruction limit reached!
% 0.20/0.50  % (1731)------------------------------
% 0.20/0.50  % (1731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (1731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (1731)Termination reason: Unknown
% 0.20/0.50  % (1731)Termination phase: Preprocessing 1
% 0.20/0.50  
% 0.20/0.50  % (1731)Memory used [KB]: 895
% 0.20/0.50  % (1731)Time elapsed: 0.003 s
% 0.20/0.50  % (1731)Instructions burned: 2 (million)
% 0.20/0.50  % (1731)------------------------------
% 0.20/0.50  % (1731)------------------------------
% 0.20/0.50  % (1723)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.50  % (1725)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (1724)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (1724)First to succeed.
% 0.20/0.51  % (1748)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  % (1745)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52  % (1737)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (1747)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (1727)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (1738)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52  % (1749)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (1724)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (1724)------------------------------
% 0.20/0.52  % (1724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (1724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (1724)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (1724)Memory used [KB]: 5884
% 0.20/0.52  % (1724)Time elapsed: 0.115 s
% 0.20/0.52  % (1724)Instructions burned: 18 (million)
% 0.20/0.52  % (1724)------------------------------
% 0.20/0.52  % (1724)------------------------------
% 0.20/0.52  % (1722)Success in time 0.177 s
%------------------------------------------------------------------------------