TSTP Solution File: NUM623+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM623+1 : 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 : n020.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 : Thu Aug 31 12:13:20 EDT 2023

% Result   : Theorem 0.23s 0.46s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   89 (  25 unt;   0 def)
%            Number of atoms       :  290 (  56 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  333 ( 132   ~; 128   |;  53   &)
%                                         (  10 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :  101 (;  88   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3978,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1338,f2383,f2466,f3967]) ).

fof(f3967,plain,
    ~ spl25_72,
    inference(avatar_contradiction_clause,[],[f3966]) ).

fof(f3966,plain,
    ( $false
    | ~ spl25_72 ),
    inference(subsumption_resolution,[],[f3951,f3133]) ).

fof(f3133,plain,
    ~ sdtlseqdt0(xx,xp),
    inference(subsumption_resolution,[],[f3132,f390]) ).

fof(f390,plain,
    aElementOf0(xx,szNzAzT0),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,axiom,
    ( aElementOf0(xx,xO)
    & aElementOf0(xx,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__5365) ).

fof(f3132,plain,
    ( ~ sdtlseqdt0(xx,xp)
    | ~ aElementOf0(xx,szNzAzT0) ),
    inference(subsumption_resolution,[],[f3131,f2788]) ).

fof(f2788,plain,
    aElementOf0(xp,szNzAzT0),
    inference(forward_demodulation,[],[f2787,f347]) ).

fof(f347,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,axiom,
    xp = szmzizndt0(xQ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__5147) ).

fof(f2787,plain,
    aElementOf0(szmzizndt0(xQ),szNzAzT0),
    inference(subsumption_resolution,[],[f2786,f341]) ).

fof(f341,plain,
    aSubsetOf0(xQ,szNzAzT0),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,axiom,
    aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__5106) ).

fof(f2786,plain,
    ( aElementOf0(szmzizndt0(xQ),szNzAzT0)
    | ~ aSubsetOf0(xQ,szNzAzT0) ),
    inference(subsumption_resolution,[],[f2771,f387]) ).

fof(f387,plain,
    slcrc0 != xQ,
    inference(cnf_transformation,[],[f100]) ).

fof(f100,axiom,
    ( slcrc0 != xQ
    & aSubsetOf0(xQ,xO) ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__5093) ).

fof(f2771,plain,
    ( aElementOf0(szmzizndt0(xQ),szNzAzT0)
    | slcrc0 = xQ
    | ~ aSubsetOf0(xQ,szNzAzT0) ),
    inference(resolution,[],[f689,f577]) ).

fof(f577,plain,
    ! [X0] :
      ( aElementOf0(szmzizndt0(X0),X0)
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(equality_resolution,[],[f498]) ).

fof(f498,plain,
    ! [X0,X1] :
      ( aElementOf0(X1,X0)
      | szmzizndt0(X0) != X1
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f302,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( szmzizndt0(X0) = X1
            | ( ~ sdtlseqdt0(X1,sK17(X0,X1))
              & aElementOf0(sK17(X0,X1),X0) )
            | ~ aElementOf0(X1,X0) )
          & ( ( ! [X3] :
                  ( sdtlseqdt0(X1,X3)
                  | ~ aElementOf0(X3,X0) )
              & aElementOf0(X1,X0) )
            | szmzizndt0(X0) != X1 ) )
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f300,f301]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ sdtlseqdt0(X1,X2)
          & aElementOf0(X2,X0) )
     => ( ~ sdtlseqdt0(X1,sK17(X0,X1))
        & aElementOf0(sK17(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f300,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( szmzizndt0(X0) = X1
            | ? [X2] :
                ( ~ sdtlseqdt0(X1,X2)
                & aElementOf0(X2,X0) )
            | ~ aElementOf0(X1,X0) )
          & ( ( ! [X3] :
                  ( sdtlseqdt0(X1,X3)
                  | ~ aElementOf0(X3,X0) )
              & aElementOf0(X1,X0) )
            | szmzizndt0(X0) != X1 ) )
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(rectify,[],[f299]) ).

fof(f299,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( szmzizndt0(X0) = X1
            | ? [X2] :
                ( ~ sdtlseqdt0(X1,X2)
                & aElementOf0(X2,X0) )
            | ~ aElementOf0(X1,X0) )
          & ( ( ! [X2] :
                  ( sdtlseqdt0(X1,X2)
                  | ~ aElementOf0(X2,X0) )
              & aElementOf0(X1,X0) )
            | szmzizndt0(X0) != X1 ) )
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f298]) ).

fof(f298,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( szmzizndt0(X0) = X1
            | ? [X2] :
                ( ~ sdtlseqdt0(X1,X2)
                & aElementOf0(X2,X0) )
            | ~ aElementOf0(X1,X0) )
          & ( ( ! [X2] :
                  ( sdtlseqdt0(X1,X2)
                  | ~ aElementOf0(X2,X0) )
              & aElementOf0(X1,X0) )
            | szmzizndt0(X0) != X1 ) )
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(nnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ! [X1] :
          ( szmzizndt0(X0) = X1
        <=> ( ! [X2] :
                ( sdtlseqdt0(X1,X2)
                | ~ aElementOf0(X2,X0) )
            & aElementOf0(X1,X0) ) )
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ! [X1] :
          ( szmzizndt0(X0) = X1
        <=> ( ! [X2] :
                ( sdtlseqdt0(X1,X2)
                | ~ aElementOf0(X2,X0) )
            & aElementOf0(X1,X0) ) )
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( ( slcrc0 != X0
        & aSubsetOf0(X0,szNzAzT0) )
     => ! [X1] :
          ( szmzizndt0(X0) = X1
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
               => sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',mDefMin) ).

fof(f689,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,xQ)
      | aElementOf0(X1,szNzAzT0) ),
    inference(subsumption_resolution,[],[f679,f424]) ).

fof(f424,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',mNATSet) ).

fof(f679,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,xQ)
      | aElementOf0(X1,szNzAzT0)
      | ~ aSet0(szNzAzT0) ),
    inference(resolution,[],[f341,f462]) ).

fof(f462,plain,
    ! [X3,X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(X3,X1)
      | aElementOf0(X3,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f283,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK12(X0,X1),X0)
              & aElementOf0(sK12(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,[sK12])],[f281,f282]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK12(X0,X1),X0)
        & aElementOf0(sK12(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f281,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,[],[f280]) ).

fof(f280,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,[],[f279]) ).

fof(f279,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,[],[f181]) ).

fof(f181,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.lxgLgwpPhu/Vampire---4.8_11888',mDefSub) ).

fof(f3131,plain,
    ( ~ sdtlseqdt0(xx,xp)
    | ~ aElementOf0(xp,szNzAzT0)
    | ~ aElementOf0(xx,szNzAzT0) ),
    inference(subsumption_resolution,[],[f3128,f336]) ).

fof(f336,plain,
    xp != xx,
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    xp != xx,
    inference(flattening,[],[f121]) ).

fof(f121,negated_conjecture,
    xp != xx,
    inference(negated_conjecture,[],[f120]) ).

fof(f120,conjecture,
    xp = xx,
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__) ).

fof(f3128,plain,
    ( xp = xx
    | ~ sdtlseqdt0(xx,xp)
    | ~ aElementOf0(xp,szNzAzT0)
    | ~ aElementOf0(xx,szNzAzT0) ),
    inference(resolution,[],[f3098,f548]) ).

fof(f548,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f241]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',mLessASymm) ).

fof(f3098,plain,
    sdtlseqdt0(xp,xx),
    inference(resolution,[],[f829,f397]) ).

fof(f397,plain,
    aElementOf0(xx,xQ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,axiom,
    ( aElementOf0(xx,xQ)
    & aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__5481) ).

fof(f829,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,xQ)
      | sdtlseqdt0(xp,X2) ),
    inference(subsumption_resolution,[],[f828,f341]) ).

fof(f828,plain,
    ! [X2] :
      ( sdtlseqdt0(xp,X2)
      | ~ aElementOf0(X2,xQ)
      | ~ aSubsetOf0(xQ,szNzAzT0) ),
    inference(subsumption_resolution,[],[f821,f387]) ).

fof(f821,plain,
    ! [X2] :
      ( sdtlseqdt0(xp,X2)
      | ~ aElementOf0(X2,xQ)
      | slcrc0 = xQ
      | ~ aSubsetOf0(xQ,szNzAzT0) ),
    inference(superposition,[],[f576,f347]) ).

fof(f576,plain,
    ! [X3,X0] :
      ( sdtlseqdt0(szmzizndt0(X0),X3)
      | ~ aElementOf0(X3,X0)
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(equality_resolution,[],[f499]) ).

fof(f499,plain,
    ! [X3,X0,X1] :
      ( sdtlseqdt0(X1,X3)
      | ~ aElementOf0(X3,X0)
      | szmzizndt0(X0) != X1
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f3951,plain,
    ( sdtlseqdt0(xx,xp)
    | ~ spl25_72 ),
    inference(resolution,[],[f1337,f396]) ).

fof(f396,plain,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f119]) ).

fof(f1337,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xm))
        | sdtlseqdt0(xx,X2) )
    | ~ spl25_72 ),
    inference(avatar_component_clause,[],[f1336]) ).

fof(f1336,plain,
    ( spl25_72
  <=> ! [X2] :
        ( sdtlseqdt0(xx,X2)
        | ~ aElementOf0(X2,sdtlpdtrp0(xN,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_72])]) ).

fof(f2466,plain,
    ~ spl25_69,
    inference(avatar_contradiction_clause,[],[f2465]) ).

fof(f2465,plain,
    ( $false
    | ~ spl25_69 ),
    inference(subsumption_resolution,[],[f2447,f578]) ).

fof(f578,plain,
    ! [X2] : ~ aElementOf0(X2,slcrc0),
    inference(equality_resolution,[],[f503]) ).

fof(f503,plain,
    ! [X2,X0] :
      ( ~ aElementOf0(X2,X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f307]) ).

fof(f307,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | aElementOf0(sK18(X0),X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f305,f306]) ).

fof(f306,plain,
    ! [X0] :
      ( ? [X1] : aElementOf0(X1,X0)
     => aElementOf0(sK18(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f305,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f304]) ).

fof(f304,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f303]) ).

fof(f303,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0) )
      & ( ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f216]) ).

fof(f216,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.lxgLgwpPhu/Vampire---4.8_11888',mDefEmp) ).

fof(f2447,plain,
    ( aElementOf0(xp,slcrc0)
    | ~ spl25_69 ),
    inference(superposition,[],[f396,f1321]) ).

fof(f1321,plain,
    ( slcrc0 = sdtlpdtrp0(xN,xm)
    | ~ spl25_69 ),
    inference(avatar_component_clause,[],[f1319]) ).

fof(f1319,plain,
    ( spl25_69
  <=> slcrc0 = sdtlpdtrp0(xN,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_69])]) ).

fof(f2383,plain,
    spl25_68,
    inference(avatar_contradiction_clause,[],[f2382]) ).

fof(f2382,plain,
    ( $false
    | spl25_68 ),
    inference(subsumption_resolution,[],[f2381,f388]) ).

fof(f388,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,axiom,
    ( xx = sdtlpdtrp0(xe,xm)
    & aElementOf0(xm,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__5389) ).

fof(f2381,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | spl25_68 ),
    inference(resolution,[],[f1317,f405]) ).

fof(f405,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__3671) ).

fof(f1317,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
    | spl25_68 ),
    inference(avatar_component_clause,[],[f1315]) ).

fof(f1315,plain,
    ( spl25_68
  <=> aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_68])]) ).

fof(f1338,plain,
    ( ~ spl25_68
    | spl25_69
    | spl25_72 ),
    inference(avatar_split_clause,[],[f1312,f1336,f1319,f1315]) ).

fof(f1312,plain,
    ! [X2] :
      ( sdtlseqdt0(xx,X2)
      | ~ aElementOf0(X2,sdtlpdtrp0(xN,xm))
      | slcrc0 = sdtlpdtrp0(xN,xm)
      | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
    inference(superposition,[],[f576,f352]) ).

fof(f352,plain,
    xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,axiom,
    xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888',m__5401) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n020.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 Aug 25 18:00:15 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.lxgLgwpPhu/Vampire---4.8_11888
% 0.15/0.37  % (12075)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.41  % (12087)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.41  % (12085)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43  % (12080)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.43  % (12079)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.43  % (12084)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43  % (12083)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.43  % (12086)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.46  % (12087)First to succeed.
% 0.23/0.46  % (12087)Refutation found. Thanks to Tanya!
% 0.23/0.46  % SZS status Theorem for Vampire---4
% 0.23/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46  % (12087)------------------------------
% 0.23/0.46  % (12087)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46  % (12087)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46  % (12087)Termination reason: Refutation
% 0.23/0.46  
% 0.23/0.46  % (12087)Memory used [KB]: 7931
% 0.23/0.46  % (12087)Time elapsed: 0.054 s
% 0.23/0.46  % (12087)------------------------------
% 0.23/0.46  % (12087)------------------------------
% 0.23/0.46  % (12075)Success in time 0.093 s
% 0.23/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------