TSTP Solution File: NUM583+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM583+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n068.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:21:53 EST 2018

% Result   : Theorem 2.79s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   32 (  10 unt;   0 def)
%            Number of atoms       :  223 (   2 equ)
%            Maximal formula atoms :   20 (   6 avg)
%            Number of connectives :  264 (  73   ~;  68   |; 109   &)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn  35   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(13,axiom,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(X1)
          & aElementOf0(X1,sdtlpdtrp0(xN,xi))
          & ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
    & aSet0(xQ)
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & equal(sbrdtbr0(xQ),xk)
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    file('/export/starexec/sandbox/tmp/tmpAgow3J/sel_theBenchmark.p_1',m__3989_02) ).

fof(16,conjecture,
    ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ! [X1] :
          ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
         => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) ) )
   => ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
        & ! [X1] :
            ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          <=> ( aElement0(X1)
              & ( aElementOf0(X1,xQ)
                | equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) ) )
     => ( ! [X1] :
            ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
           => aElementOf0(X1,xS) )
        | aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpAgow3J/sel_theBenchmark.p_1',m__) ).

fof(88,axiom,
    ( ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => aElementOf0(X1,xS) )
    & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    file('/export/starexec/sandbox/tmp/tmpAgow3J/sel_theBenchmark.p_1',m__4037) ).

fof(90,negated_conjecture,
    ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
        & ! [X1] :
            ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) ) )
     => ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          & ! [X1] :
              ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
            <=> ( aElement0(X1)
                & ( aElementOf0(X1,xQ)
                  | equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) ) )
       => ( ! [X1] :
              ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
             => aElementOf0(X1,xS) )
          | aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ),
    inference(assume_negation,[status(cth)],[16]) ).

fof(165,plain,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X1] :
        ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( aElement0(X1)
            & aElementOf0(X1,sdtlpdtrp0(xN,xi))
            & ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
        & ( ~ aElement0(X1)
          | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
          | equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi)))
          | aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(xQ)
    & ! [X1] :
        ( ~ aElementOf0(X1,xQ)
        | aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & equal(sbrdtbr0(xQ),xk)
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(166,plain,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X2] :
        ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X3] :
        ( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( aElement0(X3)
            & aElementOf0(X3,sdtlpdtrp0(xN,xi))
            & ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
        & ( ~ aElement0(X3)
          | ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
          | equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
          | aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aSet0(xQ)
    & ! [X4] :
        ( ~ aElementOf0(X4,xQ)
        | aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & equal(sbrdtbr0(xQ),xk)
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(variable_rename,[status(thm)],[165]) ).

fof(167,plain,
    ! [X2,X3,X4] :
      ( ( ~ aElementOf0(X4,xQ)
        | aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ( aElement0(X3)
          & aElementOf0(X3,sdtlpdtrp0(xN,xi))
          & ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
      & ( ~ aElement0(X3)
        | ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
        | equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
        | aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      & aSet0(xQ)
      & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      & equal(sbrdtbr0(xQ),xk)
      & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(shift_quantors,[status(thm)],[166]) ).

fof(168,plain,
    ! [X2,X3,X4] :
      ( ( ~ aElementOf0(X4,xQ)
        | aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElement0(X3)
        | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElementOf0(X3,sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
        | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElement0(X3)
        | ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
        | equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
        | aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      & aSet0(xQ)
      & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      & equal(sbrdtbr0(xQ),xk)
      & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(distribute,[status(thm)],[167]) ).

cnf(174,plain,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
    inference(split_conjunct,[status(thm)],[168]) ).

cnf(178,plain,
    ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(split_conjunct,[status(thm)],[168]) ).

cnf(180,plain,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElementOf0(X1,xQ) ),
    inference(split_conjunct,[status(thm)],[168]) ).

fof(191,negated_conjecture,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X1] :
        ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( ( ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( aElement0(X1)
            & ( aElementOf0(X1,xQ)
              | equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
        & ( ~ aElement0(X1)
          | ( ~ aElementOf0(X1,xQ)
            & ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) )
          | aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & ? [X1] :
        ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
        & ~ aElementOf0(X1,xS) )
    & ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
    inference(fof_nnf,[status(thm)],[90]) ).

fof(192,negated_conjecture,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X2] :
        ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X3] :
        ( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( aElement0(X3)
            & ( aElementOf0(X3,xQ)
              | equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
        & ( ~ aElement0(X3)
          | ( ~ aElementOf0(X3,xQ)
            & ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
          | aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & ? [X4] :
        ( aElementOf0(X4,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
        & ~ aElementOf0(X4,xS) )
    & ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
    inference(variable_rename,[status(thm)],[191]) ).

fof(193,negated_conjecture,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X2] :
        ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X3] :
        ( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ( aElement0(X3)
            & ( aElementOf0(X3,xQ)
              | equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
        & ( ~ aElement0(X3)
          | ( ~ aElementOf0(X3,xQ)
            & ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
          | aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ~ aElementOf0(esk6_0,xS)
    & ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
    inference(skolemize,[status(esa)],[192]) ).

fof(194,negated_conjecture,
    ! [X2,X3] :
      ( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ( aElement0(X3)
          & ( aElementOf0(X3,xQ)
            | equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
      & ( ~ aElement0(X3)
        | ( ~ aElementOf0(X3,xQ)
          & ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
        | aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      & aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      & ~ aElementOf0(esk6_0,xS)
      & ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
      & ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(shift_quantors,[status(thm)],[193]) ).

fof(195,negated_conjecture,
    ! [X2,X3] :
      ( ( aElement0(X3)
        | ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElementOf0(X3,xQ)
        | equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
        | ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElementOf0(X3,xQ)
        | ~ aElement0(X3)
        | aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
        | ~ aElement0(X3)
        | aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      & aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      & ~ aElementOf0(esk6_0,xS)
      & ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
      & ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(distribute,[status(thm)],[194]) ).

cnf(199,negated_conjecture,
    ~ aElementOf0(esk6_0,xS),
    inference(split_conjunct,[status(thm)],[195]) ).

cnf(200,negated_conjecture,
    aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(split_conjunct,[status(thm)],[195]) ).

cnf(204,negated_conjecture,
    ( X1 = szmzizndt0(sdtlpdtrp0(xN,xi))
    | aElementOf0(X1,xQ)
    | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(split_conjunct,[status(thm)],[195]) ).

fof(4557,plain,
    ( ! [X1] :
        ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
        | aElementOf0(X1,xS) )
    & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(fof_nnf,[status(thm)],[88]) ).

fof(4558,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | aElementOf0(X2,xS) )
    & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(variable_rename,[status(thm)],[4557]) ).

fof(4559,plain,
    ! [X2] :
      ( ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | aElementOf0(X2,xS) )
      & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(shift_quantors,[status(thm)],[4558]) ).

cnf(4561,plain,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
    inference(split_conjunct,[status(thm)],[4559]) ).

cnf(4616,plain,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS),
    inference(spm,[status(thm)],[4561,174,theory(equality)]) ).

cnf(4932,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,xi)) = esk6_0
    | aElementOf0(esk6_0,xQ) ),
    inference(spm,[status(thm)],[204,200,theory(equality)]) ).

cnf(23339,negated_conjecture,
    ( aElementOf0(esk6_0,xS)
    | aElementOf0(esk6_0,xQ) ),
    inference(spm,[status(thm)],[4616,4932,theory(equality)]) ).

cnf(23356,negated_conjecture,
    aElementOf0(esk6_0,xQ),
    inference(sr,[status(thm)],[23339,199,theory(equality)]) ).

cnf(23370,negated_conjecture,
    aElementOf0(esk6_0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(spm,[status(thm)],[180,23356,theory(equality)]) ).

cnf(23642,negated_conjecture,
    aElementOf0(esk6_0,sdtlpdtrp0(xN,xi)),
    inference(spm,[status(thm)],[178,23370,theory(equality)]) ).

cnf(23653,negated_conjecture,
    aElementOf0(esk6_0,xS),
    inference(spm,[status(thm)],[4561,23642,theory(equality)]) ).

cnf(23661,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[23653,199,theory(equality)]) ).

cnf(23662,negated_conjecture,
    $false,
    23661,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM583+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n068.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.625MB
% 0.03/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Mon Jan  8 08:11:42 CST 2018
% 0.03/0.23  % CPUTime  : 
% 0.07/0.28  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28  --creating new selector for []
% 2.79/3.06  -running prover on /export/starexec/sandbox/tmp/tmpAgow3J/sel_theBenchmark.p_1 with time limit 29
% 2.79/3.06  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpAgow3J/sel_theBenchmark.p_1']
% 2.79/3.06  -prover status Theorem
% 2.79/3.06  Problem theBenchmark.p solved in phase 0.
% 2.79/3.06  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.79/3.06  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.79/3.06  Solved 1 out of 1.
% 2.79/3.06  # Problem is unsatisfiable (or provable), constructing proof object
% 2.79/3.06  # SZS status Theorem
% 2.79/3.06  # SZS output start CNFRefutation.
% See solution above
% 2.79/3.06  # SZS output end CNFRefutation
%------------------------------------------------------------------------------