TSTP Solution File: NUM581+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n032.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 : Fri Sep  1 20:20:55 EDT 2023

% Result   : Theorem 10.05s 1.81s
% Output   : Refutation 10.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   69 (  13 unt;   0 def)
%            Number of atoms       :  475 (  48 equ)
%            Maximal formula atoms :   22 (   6 avg)
%            Number of connectives :  574 ( 168   ~; 139   |; 216   &)
%                                         (  15 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   8 con; 0-2 aty)
%            Number of variables   :  125 (; 111   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24339,plain,
    $false,
    inference(resolution,[],[f24330,f405]) ).

fof(f405,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.EXiRrRSX0j/Vampire---4.8_17481',m__3989) ).

fof(f24330,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(resolution,[],[f24105,f514]) ).

fof(f514,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.EXiRrRSX0j/Vampire---4.8_17481',mZeroNum) ).

fof(f24105,plain,
    ( ~ aElementOf0(sz00,szNzAzT0)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(resolution,[],[f21710,f21664]) ).

fof(f21664,plain,
    ! [X0] :
      ( ~ aElementOf0(sK23,sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(resolution,[],[f21662,f441]) ).

fof(f441,plain,
    aSet0(xS),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0)
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
        | ~ aElementOf0(X0,xS) )
    & aSet0(xS) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0)
    & ! [X0] :
        ( aElementOf0(X0,xS)
       => aElementOf0(X0,szNzAzT0) )
    & aSet0(xS) ),
    file('/export/starexec/sandbox/tmp/tmp.EXiRrRSX0j/Vampire---4.8_17481',m__3435) ).

fof(f21662,plain,
    ! [X0] :
      ( ~ aSet0(xS)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(sK23,sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(duplicate_literal_removal,[],[f21652]) ).

fof(f21652,plain,
    ! [X0] :
      ( ~ aElementOf0(sz00,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(sK23,sdtlpdtrp0(xN,X0))
      | ~ aSet0(xS)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(resolution,[],[f21519,f565]) ).

fof(f565,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => sdtlseqdt0(sz00,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.EXiRrRSX0j/Vampire---4.8_17481',mZeroLess) ).

fof(f21519,plain,
    ! [X2] :
      ( ~ sdtlseqdt0(sz00,X2)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(sK23,sdtlpdtrp0(xN,X2))
      | ~ aSet0(xS) ),
    inference(resolution,[],[f5983,f942]) ).

fof(f942,plain,
    ! [X40] :
      ( ~ aSubsetOf0(X40,xS)
      | ~ aElementOf0(sK23,X40)
      | ~ aSet0(xS) ),
    inference(resolution,[],[f560,f400]) ).

fof(f400,plain,
    ~ aElementOf0(sK23,xS),
    inference(cnf_transformation,[],[f256]) ).

fof(f256,plain,
    ( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
    & ~ aElementOf0(sK23,xS)
    & aElementOf0(sK23,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
            & ~ aElementOf0(X1,xQ) )
          | ~ aElement0(X1) )
        & ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
              | aElementOf0(X1,xQ) )
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X2] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
        | ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f254,f255]) ).

fof(f255,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
   => ( ~ aElementOf0(sK23,xS)
      & aElementOf0(sK23,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f254,plain,
    ( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
    & ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
            & ~ aElementOf0(X1,xQ) )
          | ~ aElement0(X1) )
        & ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
              | aElementOf0(X1,xQ) )
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X2] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
        | ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(rectify,[],[f253]) ).

fof(f253,plain,
    ( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
    & ? [X2] :
        ( ~ aElementOf0(X2,xS)
        & aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
            & ~ aElementOf0(X1,xQ) )
          | ~ aElement0(X1) )
        & ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
              | aElementOf0(X1,xQ) )
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(flattening,[],[f252]) ).

fof(f252,plain,
    ( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
    & ? [X2] :
        ( ~ aElementOf0(X2,xS)
        & aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
            & ~ aElementOf0(X1,xQ) )
          | ~ aElement0(X1) )
        & ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
              | aElementOf0(X1,xQ) )
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
    & ? [X2] :
        ( ~ aElementOf0(X2,xS)
        & aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & ! [X1] :
        ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
            | aElementOf0(X1,xQ) )
          & aElement0(X1) ) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
    & ? [X2] :
        ( ~ aElementOf0(X2,xS)
        & aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & ! [X1] :
        ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
            | aElementOf0(X1,xQ) )
          & aElement0(X1) ) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,plain,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
     => ( ( ! [X1] :
              ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
            <=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
                  | aElementOf0(X1,xQ) )
                & aElement0(X1) ) )
          & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
       => ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
          | ! [X2] :
              ( aElementOf0(X2,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
             => aElementOf0(X2,xS) ) ) ) ),
    inference(rectify,[],[f89]) ).

fof(f89,negated_conjecture,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
     => ( ( ! [X0] :
              ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
            <=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
                  | aElementOf0(X0,xQ) )
                & aElement0(X0) ) )
          & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
       => ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
          | ! [X0] :
              ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
             => aElementOf0(X0,xS) ) ) ) ),
    inference(negated_conjecture,[],[f88]) ).

fof(f88,conjecture,
    ( ( ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
         => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
   => ( ( ! [X0] :
            ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          <=> ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
                | aElementOf0(X0,xQ) )
              & aElement0(X0) ) )
        & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
     => ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
        | ! [X0] :
            ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
           => aElementOf0(X0,xS) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.EXiRrRSX0j/Vampire---4.8_17481',m__) ).

fof(f560,plain,
    ! [X3,X0,X1] :
      ( aElementOf0(X3,X0)
      | ~ aElementOf0(X3,X1)
      | ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f332]) ).

fof(f332,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK42(X0,X1),X0)
              & aElementOf0(sK42(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,[sK42])],[f330,f331]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK42(X0,X1),X0)
        & aElementOf0(sK42(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f330,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,[],[f329]) ).

fof(f329,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,[],[f328]) ).

fof(f328,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,[],[f147]) ).

fof(f147,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.EXiRrRSX0j/Vampire---4.8_17481',mDefSub) ).

fof(f5983,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
      | ~ sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(superposition,[],[f512,f435]) ).

fof(f435,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,plain,
    ( ! [X0] :
        ( sP1(X0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ( ~ aElementOf0(sK26(X0),szNzAzT0)
              & aElementOf0(sK26(X0),sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f221,f267]) ).

fof(f267,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ aElementOf0(X1,szNzAzT0)
          & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
     => ( ~ aElementOf0(sK26(X0),szNzAzT0)
        & aElementOf0(sK26(X0),sdtlpdtrp0(xN,X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f221,plain,
    ( ! [X0] :
        ( sP1(X0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( ~ aElementOf0(X1,szNzAzT0)
                & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(definition_folding,[],[f109,f220,f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ! [X3] :
          ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
            & aElementOf0(X3,sdtlpdtrp0(xN,X0))
            & aElement0(X3) ) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f220,plain,
    ! [X0] :
      ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X2] :
            ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & sP0(X0)
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X4] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
            | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f109,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
          & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X3] :
              ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                & aElement0(X3) ) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X4] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( ~ aElementOf0(X1,szNzAzT0)
                & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
          & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X3] :
              ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                & aElement0(X3) ) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X4] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( ~ aElementOf0(X1,szNzAzT0)
                & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X0))
            & ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
              | ( ! [X1] :
                    ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                   => aElementOf0(X1,szNzAzT0) )
                & aSet0(sdtlpdtrp0(xN,X0)) ) ) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & ! [X3] :
                ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                  & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                  & aElement0(X3) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X4] :
                ( aElementOf0(X4,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(rectify,[],[f81]) ).

fof(f81,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X0))
            & ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
              | ( ! [X1] :
                    ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                   => aElementOf0(X1,szNzAzT0) )
                & aSet0(sdtlpdtrp0(xN,X0)) ) ) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
                  & aElementOf0(X1,sdtlpdtrp0(xN,X0))
                  & aElement0(X1) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    file('/export/starexec/sandbox/tmp/tmp.EXiRrRSX0j/Vampire---4.8_17481',m__3623) ).

fof(f512,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(X1,X0)
       => ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
          & ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X0))
             => aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.EXiRrRSX0j/Vampire---4.8_17481',m__3754) ).

fof(f21710,plain,
    aElementOf0(sK23,sdtlpdtrp0(xN,xi)),
    inference(backward_demodulation,[],[f392,f21702]) ).

fof(f21702,plain,
    szmzizndt0(sdtlpdtrp0(xN,xi)) = sK23,
    inference(resolution,[],[f21693,f405]) ).

fof(f21693,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | szmzizndt0(sdtlpdtrp0(xN,xi)) = sK23 ),
    inference(resolution,[],[f21686,f514]) ).

fof(f21686,plain,
    ( ~ aElementOf0(sz00,szNzAzT0)
    | ~ aElementOf0(xi,szNzAzT0)
    | szmzizndt0(sdtlpdtrp0(xN,xi)) = sK23 ),
    inference(resolution,[],[f21668,f784]) ).

fof(f784,plain,
    ( aElementOf0(sK23,xQ)
    | szmzizndt0(sdtlpdtrp0(xN,xi)) = sK23 ),
    inference(resolution,[],[f396,f399]) ).

fof(f399,plain,
    aElementOf0(sK23,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(cnf_transformation,[],[f256]) ).

fof(f396,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      | aElementOf0(X1,xQ)
      | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1 ),
    inference(cnf_transformation,[],[f256]) ).

fof(f21668,plain,
    ( ~ aElementOf0(sK23,xQ)
    | ~ aElementOf0(sz00,szNzAzT0)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(resolution,[],[f21664,f4076]) ).

fof(f4076,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
      | ~ aElementOf0(X0,xQ) ),
    inference(resolution,[],[f459,f463]) ).

fof(f463,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      | ~ aElementOf0(X0,xQ) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f272,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ)
    & ! [X1] :
        ( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
          | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
          | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
          | ~ aElement0(X1) )
        & ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
            & aElementOf0(X1,sdtlpdtrp0(xN,xi))
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X2] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
        | ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(flattening,[],[f271]) ).

fof(f271,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ)
    & ! [X1] :
        ( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
          | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
          | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
          | ~ aElement0(X1) )
        & ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
            & aElementOf0(X1,sdtlpdtrp0(xN,xi))
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X2] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
        | ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ)
    & ! [X1] :
        ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
          & aElementOf0(X1,sdtlpdtrp0(xN,xi))
          & aElement0(X1) ) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X2] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
        | ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & aSet0(xQ)
    & ! [X1] :
        ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
          & aElementOf0(X1,sdtlpdtrp0(xN,xi))
          & aElement0(X1) ) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X2] :
        ( aElementOf0(X2,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(rectify,[],[f86]) ).

fof(f86,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & aSet0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
          & aElementOf0(X0,sdtlpdtrp0(xN,xi))
          & aElement0(X0) ) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    file('/export/starexec/sandbox/tmp/tmp.EXiRrRSX0j/Vampire---4.8_17481',m__3989_02) ).

fof(f459,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      | aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f392,plain,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
    inference(cnf_transformation,[],[f256]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Wed Aug 30 15:09:32 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.32  % (17802)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.32  % (17831)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.13/0.32  % (17825)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.13/0.32  % (17829)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.13/0.32  % (17830)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.13/0.32  % (17826)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.13/0.32  % (17828)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.13/0.32  % (17827)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.13/0.34  TRYING [1]
% 0.13/0.34  TRYING [2]
% 0.13/0.36  TRYING [3]
% 0.13/0.45  TRYING [4]
% 2.29/0.70  TRYING [5]
% 5.92/1.28  TRYING [6]
% 8.44/1.53  TRYING [1]
% 9.42/1.67  TRYING [2]
% 10.05/1.80  % (17830)First to succeed.
% 10.05/1.81  % (17830)Refutation found. Thanks to Tanya!
% 10.05/1.81  % SZS status Theorem for Vampire---4
% 10.05/1.81  % SZS output start Proof for Vampire---4
% See solution above
% 10.05/1.81  % (17830)------------------------------
% 10.05/1.81  % (17830)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 10.05/1.81  % (17830)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 10.05/1.81  % (17830)Termination reason: Refutation
% 10.05/1.81  
% 10.05/1.81  % (17830)Memory used [KB]: 41705
% 10.05/1.81  % (17830)Time elapsed: 1.483 s
% 10.05/1.81  % (17830)------------------------------
% 10.05/1.81  % (17830)------------------------------
% 10.05/1.81  % (17802)Success in time 1.51 s
% 10.05/1.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------