TSTP Solution File: NUM584+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM584+3 : 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 : n013.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 08:13:14 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   4 unt;   0 def)
%            Number of atoms       :  259 (  43 equ)
%            Maximal formula atoms :   17 (  10 avg)
%            Number of connectives :  312 (  78   ~;  71   |; 133   &)
%                                         (  11 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   52 (  46   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f570,plain,
    $false,
    inference(subsumption_resolution,[],[f569,f420]) ).

fof(f420,plain,
    aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    inference(cnf_transformation,[],[f255]) ).

fof(f255,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(flattening,[],[f254]) ).

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(nnf_transformation,[],[f120]) ).

fof(f120,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) ) )
    & 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(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
    & ! [X0] :
        ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
       => aElementOf0(X0,xS) )
    & ! [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))))
    & ! [X2] :
        ( aElementOf0(X2,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(rectify,[],[f88]) ).

fof(f88,axiom,
    ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
    & ! [X0] :
        ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
       => aElementOf0(X0,xS) )
    & ! [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))))
    & ! [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.kpeFYkbNeI/Vampire---4.8_8147',m__4024) ).

fof(f569,plain,
    ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    inference(subsumption_resolution,[],[f430,f411]) ).

fof(f411,plain,
    xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(cnf_transformation,[],[f253]) ).

fof(f253,plain,
    ( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
            & ~ aElementOf0(X0,xQ) )
          | ~ aElement0(X0) )
        & ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
              | aElementOf0(X0,xQ) )
            & aElement0(X0) )
          | ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
        | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(flattening,[],[f252]) ).

fof(f252,plain,
    ( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
            & ~ aElementOf0(X0,xQ) )
          | ~ aElement0(X0) )
        & ( ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
              | aElementOf0(X0,xQ) )
            & aElement0(X0) )
          | ~ aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
        | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(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))))
    & ! [X1] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
        | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,plain,
    ( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(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))))
    & ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(rectify,[],[f87]) ).

fof(f87,axiom,
    ( xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(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))))
    & ! [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.kpeFYkbNeI/Vampire---4.8_8147',m__4007) ).

fof(f430,plain,
    ( xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f260,plain,
    ( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
    & ( xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      | ( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
        & ~ aElementOf0(sK22,xS)
        & aElementOf0(sK22,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,[sK22])],[f258,f259]) ).

fof(f259,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
   => ( ~ aElementOf0(sK22,xS)
      & aElementOf0(sK22,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f258,plain,
    ( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
    & ( xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      | ( ~ 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,[],[f257]) ).

fof(f257,plain,
    ( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
    & ( xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      | ( ~ 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,[],[f256]) ).

fof(f256,plain,
    ( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
    & ( xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      | ( ~ 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,[],[f122]) ).

fof(f122,plain,
    ( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
    & ( xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      | ( ~ 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,[],[f121]) ).

fof(f121,plain,
    ( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
    & ( xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      | ( ~ 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,[],[f98]) ).

fof(f98,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)))) )
       => ( aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
          | ( xK = sbrdtbr0(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,[],[f90]) ).

fof(f90,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)))) )
       => ( aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
          | ( xK = sbrdtbr0(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,[],[f89]) ).

fof(f89,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)))) )
     => ( aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
        | ( xK = sbrdtbr0(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.kpeFYkbNeI/Vampire---4.8_8147',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM584+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 13:59:19 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.kpeFYkbNeI/Vampire---4.8_8147
% 0.59/0.76  % (8536)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (8534)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76  % (8537)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.76  % (8538)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76  % (8535)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.76  % (8539)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.76  % (8540)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)
% 0.60/0.76  % (8537)First to succeed.
% 0.60/0.76  % (8536)Also succeeded, but the first one will report.
% 0.60/0.76  % (8539)Also succeeded, but the first one will report.
% 0.60/0.77  % (8541)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)
% 0.60/0.77  % (8537)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8401"
% 0.60/0.77  % (8538)Also succeeded, but the first one will report.
% 0.60/0.77  % (8534)Also succeeded, but the first one will report.
% 0.60/0.77  % (8537)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  % (8537)------------------------------
% 0.60/0.77  % (8537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (8537)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (8537)Memory used [KB]: 1344
% 0.60/0.77  % (8537)Time elapsed: 0.011 s
% 0.60/0.77  % (8537)Instructions burned: 18 (million)
% 0.60/0.77  % (8401)Success in time 0.394 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------